Pub Date : 2023-01-01DOI: 10.4310/cms.2023.v21.n6.a7
Guoqiang Ren, Bin Liu
{"title":"Boundedness in a three-dimensional chemotaxis-Stokes system involving a subcritical sensitivity and indirect signal production","authors":"Guoqiang Ren, Bin Liu","doi":"10.4310/cms.2023.v21.n6.a7","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a7","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135649886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4310/cms.2023.v21.n8.a3
Shibin Dai, Joseph Renzi, Steven M. Wise
{"title":"Gamma convergence for the de Gennes–Cahn–Hilliard energy","authors":"Shibin Dai, Joseph Renzi, Steven M. Wise","doi":"10.4310/cms.2023.v21.n8.a3","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n8.a3","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135711813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4310/cms.2023.v21.n1.a12
Hai-liang Li, Ming Mei, Jianing Xu
{"title":"Asymptotic behavior of solutions to the unipolar hydrodynamic model of semiconductors with time-dependent damping in bounded domain","authors":"Hai-liang Li, Ming Mei, Jianing Xu","doi":"10.4310/cms.2023.v21.n1.a12","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n1.a12","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4310/cms.2023.v21.n1.a2
Yuxuan Chen, Vicentiu D. Rădulescu, Runzhang Xu
{"title":"High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities","authors":"Yuxuan Chen, Vicentiu D. Rădulescu, Runzhang Xu","doi":"10.4310/cms.2023.v21.n1.a2","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n1.a2","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4310/cms.2023.v21.n5.a6
Long Nie, Zili Chen
{"title":"The delayed Cucker–Smale model with attractive power-law potentials","authors":"Long Nie, Zili Chen","doi":"10.4310/cms.2023.v21.n5.a6","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n5.a6","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70422202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4310/cms.2023.v21.n6.a9
Xiao-Fan Zhang, Shou-Fu Tian, Jin-Jie Yang, Zhi-Qiang Li
. The focusing Hirota equation is analyzed with a general initial condition via the inverse scattering transform, whose asymptotic behavior at infinity consists of counterpropagating waves. According to some necessary conditions, including jump condition, normalization condition, residue conditions and suitable growth condition near the branch points, the inverse problem is transformed into a matrix Riemann-Hilbert (RH) problem jumping along the branch cuts and real axis, the problem is transformed into a set of linear algebraic integral equations, and the reconstruction formula of potential is successfully obtained. In addition, the zero point of the analytical scattering coefficient on the continuous spectrum is placed on a sufficiently large circle, so a modified piecewise analytical RH problem is further successfully constructed. Finally, the exact expressions of soliton solution and breathing solution of focusing Hirota equation under degenerate initial value conditions are discussed.
{"title":"Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows","authors":"Xiao-Fan Zhang, Shou-Fu Tian, Jin-Jie Yang, Zhi-Qiang Li","doi":"10.4310/cms.2023.v21.n6.a9","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a9","url":null,"abstract":". The focusing Hirota equation is analyzed with a general initial condition via the inverse scattering transform, whose asymptotic behavior at infinity consists of counterpropagating waves. According to some necessary conditions, including jump condition, normalization condition, residue conditions and suitable growth condition near the branch points, the inverse problem is transformed into a matrix Riemann-Hilbert (RH) problem jumping along the branch cuts and real axis, the problem is transformed into a set of linear algebraic integral equations, and the reconstruction formula of potential is successfully obtained. In addition, the zero point of the analytical scattering coefficient on the continuous spectrum is placed on a sufficiently large circle, so a modified piecewise analytical RH problem is further successfully constructed. Finally, the exact expressions of soliton solution and breathing solution of focusing Hirota equation under degenerate initial value conditions are discussed.","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135649586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.4310/cms.2023.v21.n6.a2
Yunkun Chen, Bin Huang, Xiaoding Shi
{"title":"Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave","authors":"Yunkun Chen, Bin Huang, Xiaoding Shi","doi":"10.4310/cms.2023.v21.n6.a2","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a2","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135649896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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