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Asymptot. Anal.最新文献

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Stability of a class of nonlinear reaction-diffusion equations and stochastic homogenization 一类非线性反应扩散方程的稳定性和随机均匀化
Asymptot. Anal. Pub Date : 2019-11-07 DOI: 10.3233/asy-191531
O. A. Hafsa, Jean-Philippe Mandallena, G. Michaille
{"title":"Stability of a class of nonlinear reaction-diffusion equations and stochastic homogenization","authors":"O. A. Hafsa, Jean-Philippe Mandallena, G. Michaille","doi":"10.3233/asy-191531","DOIUrl":"https://doi.org/10.3233/asy-191531","url":null,"abstract":"We establish a convergence theorem for a class of nonlinear reaction-diffusion equations when the diffusion term is the subdifferential of a convex functional in a class of functionals of the calculus of variations equipped with the Mosco-convergence. The reaction term, which is not globally Lipschitz with respect to the state variable, gives rise to bounded solutions, and cover a wide variety of models. As a consequence we prove a homogenization theorem for this class under a stochastic homogenization framework.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"31 4","pages":"169-221"},"PeriodicalIF":0.0,"publicationDate":"2019-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91504132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
On the uniqueness and analyticity in viscoelasticity with double porosity 双孔隙粘弹性的唯一性与解析性
Asymptot. Anal. Pub Date : 2019-04-01 DOI: 10.3233/ASY-181500
N. Bazarra, José R. Fernández, M. C. Leseduarte, A. Magaña, R. Quintanilla
{"title":"On the uniqueness and analyticity in viscoelasticity with double porosity","authors":"N. Bazarra, José R. Fernández, M. C. Leseduarte, A. Magaña, R. Quintanilla","doi":"10.3233/ASY-181500","DOIUrl":"https://doi.org/10.3233/ASY-181500","url":null,"abstract":"In this paper we analyze the system of equations that models the behaviour of materials with a double porous structure. We introduce dissipation mechanisms in both structures. We show existence, uniqueness and analyticity for the solutions of the system. As consequences, exponential stability and impossibility of localization for the solutions are obtained.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"17 1","pages":"151-164"},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80467061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface 在两相界面处具有热阻的周期性稀复合材料有效电导率的级数展开
Asymptot. Anal. Pub Date : 2019-02-13 DOI: 10.3233/ASY-181495
M. D. Riva, P. Musolino, R. Pukhtaievych
{"title":"Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface","authors":"M. D. Riva, P. Musolino, R. Pukhtaievych","doi":"10.3233/ASY-181495","DOIUrl":"https://doi.org/10.3233/ASY-181495","url":null,"abstract":". We study the asymptotic behavior of the effective thermal conductivity of a periodic two-phase dilute composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material, each of them of size proportional to a positive parameter (cid:2) . We assume that the normal component of the heat flux is continuous at the two-phase interface, while we impose that the temperature field displays a jump proportional to the normal heat flux. For (cid:2) small, we prove that the effective conductivity can be represented as a convergent power series in (cid:2) and we determine the coefficients in terms of the solutions of explicit systems of integral equations.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"101 1","pages":"217-250"},"PeriodicalIF":0.0,"publicationDate":"2019-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80605189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides 周期性复合压电波导中的Umov-Poynting-Mandelstam辐射条件
Asymptot. Anal. Pub Date : 2019-01-07 DOI: 10.3233/ASY-181487
G. Leugering, S. Nazarov, J. Taskinen
{"title":"Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides","authors":"G. Leugering, S. Nazarov, J. Taskinen","doi":"10.3233/ASY-181487","DOIUrl":"https://doi.org/10.3233/ASY-181487","url":null,"abstract":"We develop and investigate radiation conditions at infinity for composite piezo-elastic waveguides. The approach is based on the Mandelstam radiation principle according to which the energy flux at infinity is directed away from the source and which implies constraints on the (sign of the) group velocities. On the other side, the Sommerfeld radiation condition implies limitations on the wave phase velocity and is, in fact, not applicable in the context of piezo-elastic wave guides. We analyze the passage to the limit when the piezo-electric moduli tend to zero in certain regions yielding purely elastic inclusions there. We provide a number of examples, e.g. elastic and acoustic waveguides as well as purely elastic insulating and conducting inclusions.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":" 10","pages":"69-111"},"PeriodicalIF":0.0,"publicationDate":"2019-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91413088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonexistence results for systems of parabolic differential inequalities in 2D exterior domains 二维外域抛物型微分不等式系统的不存在性结果
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/ASY-181506
M. Jleli, B. Samet
{"title":"Nonexistence results for systems of parabolic differential inequalities in 2D exterior domains","authors":"M. Jleli, B. Samet","doi":"10.3233/ASY-181506","DOIUrl":"https://doi.org/10.3233/ASY-181506","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"124 1","pages":"29-49"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77475440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Diffusion process in a perforated domain around a vanishing suspension 消失悬浮液周围穿孔区域的扩散过程
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/asy-191529
Selwa Chennouf, F. Bentalha
{"title":"Diffusion process in a perforated domain around a vanishing suspension","authors":"Selwa Chennouf, F. Bentalha","doi":"10.3233/asy-191529","DOIUrl":"https://doi.org/10.3233/asy-191529","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"87 1","pages":"127-145"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81227338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On asymptotic forms of solutions to the Riccati equation Riccati方程解的渐近形式
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/asy-191534
V. S. Samovol
{"title":"On asymptotic forms of solutions to the Riccati equation","authors":"V. S. Samovol","doi":"10.3233/asy-191534","DOIUrl":"https://doi.org/10.3233/asy-191534","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"88 1","pages":"223-239"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79727181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Dynamics and stability of the 3D Brinkman-Forchheimer equation with variable delay (I) 变延迟三维Brinkman-Forchheimer方程的动力学与稳定性(I)
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/ASY-181512
Lu Li, Xinguang Yang, Xuezhi Li, Xingjie Yan, Yongjin Lu
{"title":"Dynamics and stability of the 3D Brinkman-Forchheimer equation with variable delay (I)","authors":"Lu Li, Xinguang Yang, Xuezhi Li, Xingjie Yan, Yongjin Lu","doi":"10.3233/ASY-181512","DOIUrl":"https://doi.org/10.3233/ASY-181512","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"6 1","pages":"167-194"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81169709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
Fractional p-Kirchhoff problems involving critical exponents and sign-changing weight functions 涉及临界指数和变号权函数的分数阶p-Kirchhoff问题
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/asy-191527
Sihua Liang, Binlin Zhang
{"title":"Fractional p-Kirchhoff problems involving critical exponents and sign-changing weight functions","authors":"Sihua Liang, Binlin Zhang","doi":"10.3233/asy-191527","DOIUrl":"https://doi.org/10.3233/asy-191527","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"49 1","pages":"47-61"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89506498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Well-posedness for modified higher-order anisotropic Cahn-Hilliard equations 修正高阶各向异性Cahn-Hilliard方程的适定性
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/ASY-181494
Shuiran Peng, Hongyi Zhu
{"title":"Well-posedness for modified higher-order anisotropic Cahn-Hilliard equations","authors":"Shuiran Peng, Hongyi Zhu","doi":"10.3233/ASY-181494","DOIUrl":"https://doi.org/10.3233/ASY-181494","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"1 1","pages":"201-215"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88822708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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