Pub Date : 2025-12-04DOI: 10.1016/j.aml.2025.109841
Henrik Garde
This short note modifies a reconstruction method by the author Garde (2020), for reconstructing piecewise constant conductivities in the Calderón problem (electrical impedance tomography). In the former paper, a layering assumption and the local Neumann-to-Dirichlet map were needed since the piecewise constant partition also was assumed unknown. Here I show how to modify the method in case the partition is known, for general piecewise constant conductivities and only a finite number of partial boundary measurements. Moreover, no lower/upper bounds on the unknown conductivity are needed.
{"title":"Reconstruction in the Calderón problem on a fixed partition from finite and partial boundary data","authors":"Henrik Garde","doi":"10.1016/j.aml.2025.109841","DOIUrl":"10.1016/j.aml.2025.109841","url":null,"abstract":"<div><div>This short note modifies a reconstruction method by the author Garde (2020), for reconstructing piecewise constant conductivities in the Calderón problem (electrical impedance tomography). In the former paper, a layering assumption and the local Neumann-to-Dirichlet map were needed since the piecewise constant partition also was assumed unknown. Here I show how to modify the method in case the partition is known, for general piecewise constant conductivities and only a finite number of partial boundary measurements. Moreover, no lower/upper bounds on the unknown conductivity are needed.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"175 ","pages":"Article 109841"},"PeriodicalIF":2.8,"publicationDate":"2025-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145665711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-28DOI: 10.1016/j.aml.2025.109834
Paola Loreti, Daniela Sforza
In this paper, we address the question of estimating the energy decay of integrodifferential evolution equations with glassy memory. This class of memory kernel was not analyzed in previous studies. Moreover, a detailed analysis provides an explicit estimate of the connection between the kernel function’s decay constant and the energy’s decay constant.
{"title":"Energy decay for evolution equations with glassy type memory","authors":"Paola Loreti, Daniela Sforza","doi":"10.1016/j.aml.2025.109834","DOIUrl":"10.1016/j.aml.2025.109834","url":null,"abstract":"<div><div>In this paper, we address the question of estimating the energy decay of integrodifferential evolution equations with glassy memory. This class of memory kernel was not analyzed in previous studies. Moreover, a detailed analysis provides an explicit estimate of the connection between the kernel function’s decay constant and the energy’s decay constant.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"175 ","pages":"Article 109834"},"PeriodicalIF":2.8,"publicationDate":"2025-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145613965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-27DOI: 10.1016/j.aml.2025.109833
Chia-Yu Hsieh , Yongting Huang , Jiaqi Ren
We consider the Poisson–Nernst–Planck–Fourier system for the non-isothermal ionic transport. With the presence of permanent charges, the system admits nonconstant equilibria. In this paper, we prove the global well-posedness around nonconstant equilibria of the system.
{"title":"Global existence of solutions to the Poisson–Nernst–Planck–Fourier system near nonconstant equilibria","authors":"Chia-Yu Hsieh , Yongting Huang , Jiaqi Ren","doi":"10.1016/j.aml.2025.109833","DOIUrl":"10.1016/j.aml.2025.109833","url":null,"abstract":"<div><div>We consider the Poisson–Nernst–Planck–Fourier system for the non-isothermal ionic transport. With the presence of permanent charges, the system admits nonconstant equilibria. In this paper, we prove the global well-posedness around nonconstant equilibria of the system.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109833"},"PeriodicalIF":2.8,"publicationDate":"2025-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145608812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-25DOI: 10.1016/j.aml.2025.109832
Xudong Shang
In this paper, we consider the following Choquard equation involving the -Laplacian operator where , , and is the Riesz potential of order . By using the Ekeland variational principle and the implicit function theorem, we obtain the problem has a radial nodal solution for . For the case of , we employ the least energy radial nodal solution of pass to a limit procedure to obtain our result. This article extends some results of related literatures.
{"title":"Nodal solutions for a Choquard equation involving the p-Laplacian operator","authors":"Xudong Shang","doi":"10.1016/j.aml.2025.109832","DOIUrl":"10.1016/j.aml.2025.109832","url":null,"abstract":"<div><div>In this paper, we consider the following Choquard equation involving the <span><math><mi>p</mi></math></span>-Laplacian operator <span><span><span><math><mrow><mo>−</mo><msub><mrow><mi>Δ</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>u</mi><mo>+</mo><msup><mrow><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow></mrow><mrow><mi>p</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi><mo>=</mo><mrow><mo>(</mo><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>∗</mo><msup><mrow><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow></mrow><mrow><mi>q</mi></mrow></msup><mo>)</mo></mrow><msup><mrow><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow></mrow><mrow><mi>q</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi><mspace></mspace><mtext>in</mtext><mspace></mspace><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup><mo>,</mo></mrow></math></span></span></span>where <span><math><mrow><mn>2</mn><mo>≤</mo><mi>p</mi><mo><</mo><mi>N</mi></mrow></math></span>, <span><math><mrow><mi>p</mi><mo>≤</mo><mi>q</mi><mo><</mo><mfrac><mrow><mi>p</mi><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mi>α</mi><mo>)</mo></mrow></mrow><mrow><mn>2</mn><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mi>p</mi><mo>)</mo></mrow></mrow></mfrac></mrow></math></span>, and <span><math><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub></math></span> is the Riesz potential of order <span><math><mrow><mi>α</mi><mo>∈</mo><mrow><mo>(</mo><msup><mrow><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mn>2</mn><mi>p</mi><mo>)</mo></mrow></mrow><mrow><mo>+</mo></mrow></msup><mo>,</mo><mi>N</mi><mo>)</mo></mrow></mrow></math></span>. By using the Ekeland variational principle and the implicit function theorem, we obtain the problem has a radial nodal solution for <span><math><mrow><mi>q</mi><mo>∈</mo><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mfrac><mrow><mi>p</mi><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mi>α</mi><mo>)</mo></mrow></mrow><mrow><mn>2</mn><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mi>p</mi><mo>)</mo></mrow></mrow></mfrac><mo>)</mo></mrow></mrow></math></span>. For the case of <span><math><mrow><mi>q</mi><mo>=</mo><mi>p</mi></mrow></math></span>, we employ the least energy radial nodal solution of <span><math><mrow><mi>q</mi><mo>></mo><mi>p</mi></mrow></math></span> pass to a limit procedure <span><math><mrow><mi>q</mi><mo>→</mo><mi>p</mi></mrow></math></span> to obtain our result. This article extends some results of related literatures.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109832"},"PeriodicalIF":2.8,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145593474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-25DOI: 10.1016/j.aml.2025.109831
Yadong Zhong, Jingjing Ge, Yi Zhang
Through a direct semi-discretization procedure, we construct a discrete version of the Kuralay-II equation. By employing the Darboux transformation method, we derive multi-soliton solutions for the resulting discrete system. Finally, we also investigate the positon solution of the discrete equation and perform a comprehensive graphical analysis to illustrate its dynamic behavior.
{"title":"Integrable semi-discretization of the Kuralay-II equation and its positon solutions","authors":"Yadong Zhong, Jingjing Ge, Yi Zhang","doi":"10.1016/j.aml.2025.109831","DOIUrl":"10.1016/j.aml.2025.109831","url":null,"abstract":"<div><div>Through a direct semi-discretization procedure, we construct a discrete version of the Kuralay-II equation. By employing the Darboux transformation method, we derive multi-soliton solutions for the resulting discrete system. Finally, we also investigate the positon solution of the discrete equation and perform a comprehensive graphical analysis to illustrate its dynamic behavior.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109831"},"PeriodicalIF":2.8,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145592979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-24DOI: 10.1016/j.aml.2025.109830
Songbai Guo, Xindi Wang, Qianqian Pan, Jing-An Cui
This paper presents a three-delay dengue model that includes waning vaccine immunity and asymptomatic infections. The model assumes that aware susceptible individuals avoid infection. We first derive the control reproduction number and establish the model’s well-posedness and dissipativity. Next, we prove the existence and uniqueness of the endemic equilibrium and analyze its global stability in terms of . Specifically, the disease-free equilibrium is globally stable in when . Conversely, the endemic equilibrium is globally stable in when .
{"title":"Global dynamics of a dengue model with multiple delays incorporating vaccine waning and asymptomatic infection","authors":"Songbai Guo, Xindi Wang, Qianqian Pan, Jing-An Cui","doi":"10.1016/j.aml.2025.109830","DOIUrl":"10.1016/j.aml.2025.109830","url":null,"abstract":"<div><div>This paper presents a three-delay dengue model that includes waning vaccine immunity and asymptomatic infections. The model assumes that aware susceptible individuals avoid infection. We first derive the control reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and establish the model’s well-posedness and dissipativity. Next, we prove the existence and uniqueness of the endemic equilibrium and analyze its global stability in terms of <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. Specifically, the disease-free equilibrium <span><math><msub><mrow><mi>E</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> is globally stable in <span><math><msub><mrow><mi>C</mi></mrow><mrow><mo>+</mo></mrow></msub></math></span> when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>≤</mo><mn>1</mn></mrow></math></span>. Conversely, the endemic equilibrium <span><math><msup><mrow><mi>E</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> is globally stable in <span><math><mi>M</mi></math></span> when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span>.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109830"},"PeriodicalIF":2.8,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145592983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-24DOI: 10.1016/j.aml.2025.109829
Wenxv Ding
In recent years, dual quaternion matrix decompositions have become indispensable in applications such as formation control and color image processing. We propose a novel method for computing the eigenvalues and associated eigenvectors of a dual quaternion Hermitian matrix, leveraging its specific properties and structure in this paper. Numerical experiments demonstrate that the proposed algorithm achieves significant speedups compared to existing methods. Furthermore, a two-dimensional principal component analysis method modeled on dual quaternion matrices (2D-DQPCA) is successfully established, enabling the integration of the Hue-Saturation-Value (HSV) color model with the RGB model for application in face recognition.
{"title":"Algebraic method for Eigenvalue problems of dual quaternion Hermitian matrices and its application in RGB-HSV-based face representation and recognition","authors":"Wenxv Ding","doi":"10.1016/j.aml.2025.109829","DOIUrl":"10.1016/j.aml.2025.109829","url":null,"abstract":"<div><div>In recent years, dual quaternion matrix decompositions have become indispensable in applications such as formation control and color image processing. We propose a novel method for computing the eigenvalues and associated eigenvectors of a dual quaternion Hermitian matrix, leveraging its specific properties and structure in this paper. Numerical experiments demonstrate that the proposed algorithm achieves significant speedups compared to existing methods. Furthermore, a two-dimensional principal component analysis method modeled on dual quaternion matrices (2D-DQPCA) is successfully established, enabling the integration of the Hue-Saturation-Value (HSV) color model with the RGB model for application in face recognition.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109829"},"PeriodicalIF":2.8,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145583711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-21DOI: 10.1016/j.aml.2025.109827
Jingwen Yu, Fajun Yu
We extend the (1＋1)-dimensional nonlinear Schrödinger(NLS) equation to (2＋1)-dimensional variable coefficient higher-order equation and study the (2＋1)-dimensional variable coefficient higher-order NLS equation by using the Hirota bilinear method. Some non-autonomous soliton solutions and soliton interactions are derived. In particular, we consider soliton collision behavior and control wave propagation methods. By choosing some different free functions, we obtain bright soliton, periodic soliton, double solitons with opposite opening directions, double solitons with the same opening direction, bi-“S-typed” soliton and bi-“-typed” soliton. We consider some novel soliton collision phenomena and discover elastic collisions between two solitons. These results provide powerful methods for controlling the propagation of solitons. These results can aid in the analysis of new phenomena in optics.
{"title":"Non-autonomous soliton, wave propagation and collision dynamic for (2＋1)-dimensional higher-order nonlinear Schrödinger equation with variable coefficients","authors":"Jingwen Yu, Fajun Yu","doi":"10.1016/j.aml.2025.109827","DOIUrl":"10.1016/j.aml.2025.109827","url":null,"abstract":"<div><div>We extend the (1＋1)-dimensional nonlinear Schrödinger(NLS) equation to (2＋1)-dimensional variable coefficient higher-order equation and study the (2＋1)-dimensional variable coefficient higher-order NLS equation by using the Hirota bilinear method. Some non-autonomous soliton solutions and soliton interactions are derived. In particular, we consider soliton collision behavior and control wave propagation methods. By choosing some different free functions, we obtain bright soliton, periodic soliton, double solitons with opposite opening directions, double solitons with the same opening direction, bi-“S-typed” soliton and bi-“<span><math><mi>π</mi></math></span>-typed” soliton. We consider some novel soliton collision phenomena and discover elastic collisions between two solitons. These results provide powerful methods for controlling the propagation of solitons. These results can aid in the analysis of new phenomena in optics.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109827"},"PeriodicalIF":2.8,"publicationDate":"2025-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145567381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-20DOI: 10.1016/j.aml.2025.109828
Jianpeng Wang , Kai Wang , Lei Wang , Zhidong Teng
In this paper, we are concerned with the global stability of disease-free steady state for a reaction–advection–diffusion SI epidemic model with heterogeneous diffusion and different advection when basic reproduction number . Furthermore, we also establish the criteria for the global stability of exponential positive steady state.
{"title":"Global stability for an advection–diffusion SI epidemic model with spatial heterogeneity in the critical case","authors":"Jianpeng Wang , Kai Wang , Lei Wang , Zhidong Teng","doi":"10.1016/j.aml.2025.109828","DOIUrl":"10.1016/j.aml.2025.109828","url":null,"abstract":"<div><div>In this paper, we are concerned with the global stability of disease-free steady state for a reaction–advection–diffusion SI epidemic model with heterogeneous diffusion and different advection when basic reproduction number <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><mn>1</mn></mrow></math></span>. Furthermore, we also establish the criteria for the global stability of exponential positive steady state.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109828"},"PeriodicalIF":2.8,"publicationDate":"2025-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145559895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-19DOI: 10.1016/j.aml.2025.109826
Fan Wu
We revisit the classical problem of uniqueness of Leray–Hopf weak solutions to the three-dimensional incompressible Navier–Stokes equations. In the pioneering works, uniqueness was established under Prodi–Serrin type conditions, and later improved to critical Besov spaces [Chen–Miao–Zhang, Ann. Inst. H. Poincaré Anal. Non Linéaire 26(2009) 2165-2180]. A key step in Chen–Miao–Zhang’s result is the decomposition of the velocity field into a Lipschitz low-frequency part and a higher integrability high-frequency part. In this paper, we refine this approach by replacing the Lipschitz control with a sharper bound in the nonhomogeneous Besov space , using the framework of nonhomogeneous Vishik-type spaces. We establish an improved uniqueness criterion in Vishik-type spaces , which strictly extends the scope of classical Besov spaces used in prior works.
{"title":"On the uniqueness of weak solutions to the 3d Navier–Stokes equations in Vishik-type spaces","authors":"Fan Wu","doi":"10.1016/j.aml.2025.109826","DOIUrl":"10.1016/j.aml.2025.109826","url":null,"abstract":"<div><div>We revisit the classical problem of uniqueness of Leray–Hopf weak solutions to the three-dimensional incompressible Navier–Stokes equations. In the pioneering works, uniqueness was established under Prodi–Serrin type conditions, and later improved to critical Besov spaces [Chen–Miao–Zhang, Ann. Inst. H. Poincaré Anal. Non Linéaire 26(2009) 2165-2180]. A key step in Chen–Miao–Zhang’s result is the decomposition of the velocity field into a Lipschitz low-frequency part and a higher integrability high-frequency part. In this paper, we refine this approach by replacing the Lipschitz control with a sharper bound in the nonhomogeneous Besov space <span><math><msubsup><mrow><mi>B</mi></mrow><mrow><mi>∞</mi><mo>,</mo><mn>1</mn></mrow><mrow><mn>1</mn></mrow></msubsup></math></span>, using the framework of nonhomogeneous Vishik-type spaces. We establish an improved uniqueness criterion in Vishik-type spaces <span><math><msubsup><mrow><mi>V</mi></mrow><mrow><mi>p</mi><mo>,</mo><mi>q</mi><mo>,</mo><mi>θ</mi></mrow><mrow><mi>r</mi></mrow></msubsup></math></span>, which strictly extends the scope of classical Besov spaces used in prior works.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"174 ","pages":"Article 109826"},"PeriodicalIF":2.8,"publicationDate":"2025-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145554292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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