Pub Date : 2022-11-13DOI: 10.1142/s0218202523500215
J. Carrillo, M. Delgadino, Jeremy Wu
We study a regularized version of the Landau equation, which was recently introduced in~cite{CHWW20} to numerically approximate the Landau equation with good accuracy at reasonable computational cost. We develop the existence and uniqueness theory for weak solutions, and we reinforce the numerical findings in~cite{CHWW20} by rigorously proving the validity of particle approximations to the regularized Landau equation.
{"title":"Convergence of a particle method for a regularized spatially homogeneous Landau equation","authors":"J. Carrillo, M. Delgadino, Jeremy Wu","doi":"10.1142/s0218202523500215","DOIUrl":"https://doi.org/10.1142/s0218202523500215","url":null,"abstract":"We study a regularized version of the Landau equation, which was recently introduced in~cite{CHWW20} to numerically approximate the Landau equation with good accuracy at reasonable computational cost. We develop the existence and uniqueness theory for weak solutions, and we reinforce the numerical findings in~cite{CHWW20} by rigorously proving the validity of particle approximations to the regularized Landau equation.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2022-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44035019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-27DOI: 10.46300/9101.2022.16.28
B. Pasuluri, V. K. Sonti
Over the past few decades, advances in IC technology have steadily shrunk feature sizes, necessitating the placement of more operational circuits on every chip. In designing digital circuits, a novel GDI based circuit is indeed the center of consideration, since it requires less power and achieves greater efficiency. GDI-based circuits mimic CMOS transistors but feature fewer transistors with a greater capacity for performance and reliability. This paper investigates the modelling and implementation of a Finite Impulse-Response (FIR) block developed utilizing GDI-based circuits as well as basic blocks. In this study, an eight-tap FIR architecture relying on GDI cells is created. The results reveal that even a FIR architecture with eight taps and GDI delivers reduced power consumption and performance improvement.
{"title":"Design of High-performance GDI Logic Based 8-tap FIR Filter At 45nm CMOS Technology Using Nikhilam Multiplier","authors":"B. Pasuluri, V. K. Sonti","doi":"10.46300/9101.2022.16.28","DOIUrl":"https://doi.org/10.46300/9101.2022.16.28","url":null,"abstract":"Over the past few decades, advances in IC technology have steadily shrunk feature sizes, necessitating the placement of more operational circuits on every chip. In designing digital circuits, a novel GDI based circuit is indeed the center of consideration, since it requires less power and achieves greater efficiency. GDI-based circuits mimic CMOS transistors but feature fewer transistors with a greater capacity for performance and reliability. This paper investigates the modelling and implementation of a Finite Impulse-Response (FIR) block developed utilizing GDI-based circuits as well as basic blocks. In this study, an eight-tap FIR architecture relying on GDI cells is created. The results reveal that even a FIR architecture with eight taps and GDI delivers reduced power consumption and performance improvement.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87831557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-07DOI: 10.46300/9101.2022.16.27
Young Kim
The quality of an urban living environment largely depends on the planning and development of public facilities, which are often halted or delayed due to the NIMBY (not in my backyard) phenomenon. In such facilities, environmental costs are borne solely by the residents of proximity to the facility, while public goods/services produced by the facility are reaped equally by residents across the greater region, which in turn presents a complex dynamic of public and self-interest. This paper uses repeated games and evolutionary game theory to identify the optimal negotiation strategy for the government when siting nuclear power plant facilities in South Korea. This study simulated a tournament containing 36 selected iterated prisoner's dilemma strategies and considered factors including mean payoff values, payoff matrices, and Axelrod's Ecological Variant to deduce an optimal strategy. The results showed that AON2, a memory-2 strategy of direct reciprocity, would provide the most stable and high return negotiations.
{"title":"Application of the Iterated Prisoner's Dilemma and Evolutionary Game Theory in Siting Nuclear Power Plants in South Korea","authors":"Young Kim","doi":"10.46300/9101.2022.16.27","DOIUrl":"https://doi.org/10.46300/9101.2022.16.27","url":null,"abstract":"The quality of an urban living environment largely depends on the planning and development of public facilities, which are often halted or delayed due to the NIMBY (not in my backyard) phenomenon. In such facilities, environmental costs are borne solely by the residents of proximity to the facility, while public goods/services produced by the facility are reaped equally by residents across the greater region, which in turn presents a complex dynamic of public and self-interest. This paper uses repeated games and evolutionary game theory to identify the optimal negotiation strategy for the government when siting nuclear power plant facilities in South Korea. This study simulated a tournament containing 36 selected iterated prisoner's dilemma strategies and considered factors including mean payoff values, payoff matrices, and Axelrod's Ecological Variant to deduce an optimal strategy. The results showed that AON2, a memory-2 strategy of direct reciprocity, would provide the most stable and high return negotiations.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86716459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.1142/s0218202522500580
Shaunak Shende, M. Behzadinasab, Georgios Moutsandis, Y. Bazilevs
{"title":"Simulating Air Blast on Concrete Structures Using the Volumetric Penalty Coupling of Isogeometric Analysis and Peridynamics","authors":"Shaunak Shende, M. Behzadinasab, Georgios Moutsandis, Y. Bazilevs","doi":"10.1142/s0218202522500580","DOIUrl":"https://doi.org/10.1142/s0218202522500580","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44968518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.1142/s0218202522500592
M. Rajanna, Emily L. Johnson, Ning Liu, A. Korobenko, Y. Bazilevs, M. Hsu
{"title":"Fluid-Structure Interaction Modeling with Nonmatching Interface Discretizations for Compressible Flow Problems: Computational Framework and Validation Study","authors":"M. Rajanna, Emily L. Johnson, Ning Liu, A. Korobenko, Y. Bazilevs, M. Hsu","doi":"10.1142/s0218202522500592","DOIUrl":"https://doi.org/10.1142/s0218202522500592","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42022678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.1142/s0218202522500579
Yang Liu, K. Takizawa, Yuto Otoguro, T. Kuraishi, T. Tezduyar
{"title":"Flow Computation with the Space-Time Isogeomeric Analysis and Higher-Order Basis Functions in Time","authors":"Yang Liu, K. Takizawa, Yuto Otoguro, T. Kuraishi, T. Tezduyar","doi":"10.1142/s0218202522500579","DOIUrl":"https://doi.org/10.1142/s0218202522500579","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47370130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.1142/s0218202522500567
T. Kuraishi, K. Takizawa, T. Tezduyar
{"title":"Boundary Layer Mesh Resolution in Flow Computations with the Space-Time Variational Multiscale Method and Isogeometric Discretization","authors":"T. Kuraishi, K. Takizawa, T. Tezduyar","doi":"10.1142/s0218202522500567","DOIUrl":"https://doi.org/10.1142/s0218202522500567","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48404252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-02DOI: 10.1142/s0218202523400043
Yifu Wang, Chi Xu
This paper deals with an initial-boundary value problem for a doubly haptotactic cross-diffusion system arising from the oncolytic virotherapy begin{equation*} left{ begin{array}{lll} u_t=Delta u-nabla cdot(unabla v)+mu u(1-u)-uz, v_t=-(u+w)v, w_t=Delta w-nabla cdot(wnabla v)-w+uz, z_t=D_zDelta z-z-uz+beta w, end{array} right. end{equation*} in a smoothly bounded domain $Omegasubset mathbb{R}^3$ with $beta>0$,~$mu>0$ and $D_z>0$. Based on a self-map argument, it is shown that under the assumption $beta max {1,|u_0|_{L^{infty}(Omega)}}<1+ (1+frac1{min_{xin Omega}u_0(x)})^{-1}$, this problem possesses a uniquely determined global classical solution $(u,v,w,z)$ for certain type of small data $(u_0,v_0,w_0,z_0)$. Moreover, $(u,v,w,z)$ is globally bounded and exponentially stabilizes towards its spatially homogeneous equilibrium %constant equilibrium $(1,0,0,0)$ as $trightarrow infty$.
{"title":"Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy","authors":"Yifu Wang, Chi Xu","doi":"10.1142/s0218202523400043","DOIUrl":"https://doi.org/10.1142/s0218202523400043","url":null,"abstract":"This paper deals with an initial-boundary value problem for a doubly haptotactic cross-diffusion system arising from the oncolytic virotherapy begin{equation*} left{ begin{array}{lll} u_t=Delta u-nabla cdot(unabla v)+mu u(1-u)-uz, v_t=-(u+w)v, w_t=Delta w-nabla cdot(wnabla v)-w+uz, z_t=D_zDelta z-z-uz+beta w, end{array} right. end{equation*} in a smoothly bounded domain $Omegasubset mathbb{R}^3$ with $beta>0$,~$mu>0$ and $D_z>0$. Based on a self-map argument, it is shown that under the assumption $beta max {1,|u_0|_{L^{infty}(Omega)}}<1+ (1+frac1{min_{xin Omega}u_0(x)})^{-1}$, this problem possesses a uniquely determined global classical solution $(u,v,w,z)$ for certain type of small data $(u_0,v_0,w_0,z_0)$. Moreover, $(u,v,w,z)$ is globally bounded and exponentially stabilizes towards its spatially homogeneous equilibrium %constant equilibrium $(1,0,0,0)$ as $trightarrow infty$.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43391432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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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