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Tail convergences of pullback attractors for asymptotically converging multi-valued dynamical systems 渐近收敛多值动力系统的回拉吸引子的尾收敛性
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/ASY-181501
Hongyong Cui, P. Kloeden
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引用次数: 11
Asymptotic analysis of an advection-diffusion equation and application to boundary controllability 一类平流扩散方程的渐近分析及其在边界可控性上的应用
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/ASY-181497
Y. Amirat, A. Münch
{"title":"Asymptotic analysis of an advection-diffusion equation and application to boundary controllability","authors":"Y. Amirat, A. Münch","doi":"10.3233/ASY-181497","DOIUrl":"https://doi.org/10.3233/ASY-181497","url":null,"abstract":"We perform the asymptotic analysis of the scalar advection-diffusion equation y e t −ey e xx +M y e x = 0, (x, t) ∈ (0, 1) × (0, T), with respect to the diffusion coefficient e. We use the matched asymptotic expansion method which allows to describe the boundary layers of the solution. We then use the asymptotics to discuss the controllability property of the solution for T ≥ 1/M .","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"60 8 1","pages":"59-106"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86801766","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: 10
Spectral non-self-adjoint analysis of complex Dirac, Pauli and Schrödinger operators with constant magnetic fields of full rank 具有满秩恒磁场的复Dirac、Pauli和Schrödinger算子的谱非自伴随分析
Asymptot. Anal. Pub Date : 2019-01-01 DOI: 10.3233/ASY-181491
D. Sambou
{"title":"Spectral non-self-adjoint analysis of complex Dirac, Pauli and Schrödinger operators with constant magnetic fields of full rank","authors":"D. Sambou","doi":"10.3233/ASY-181491","DOIUrl":"https://doi.org/10.3233/ASY-181491","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"7 1","pages":"113-136"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81082971","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
Asymptotic behavior for a class of parabolic equations in weighted variable Sobolev spaces 一类抛物型方程在加权变量Sobolev空间中的渐近性态
Asymptot. Anal. Pub Date : 2018-12-10 DOI: 10.3233/ASY-181486
S. Shmarev, J. Simsen, M. S. Simsen, M. Tovani-Palone
{"title":"Asymptotic behavior for a class of parabolic equations in weighted variable Sobolev spaces","authors":"S. Shmarev, J. Simsen, M. S. Simsen, M. Tovani-Palone","doi":"10.3233/ASY-181486","DOIUrl":"https://doi.org/10.3233/ASY-181486","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"18 1","pages":"43-68"},"PeriodicalIF":0.0,"publicationDate":"2018-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88841158","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
On Pizzetti's formula 根据Pizzetti的公式
Asymptot. Anal. Pub Date : 2018-12-10 DOI: 10.3233/ASY-181483
R. Estrada
{"title":"On Pizzetti's formula","authors":"R. Estrada","doi":"10.3233/ASY-181483","DOIUrl":"https://doi.org/10.3233/ASY-181483","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"69 1","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2018-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75943297","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: 4
Interacting double-state scattering system 相互作用双态散射系统
Asymptot. Anal. Pub Date : 2018-12-10 DOI: 10.3233/ASY-181485
Boulbeba Abdelmoumen, H. Baklouti, Slaheddine Ben Abdeljeilil
{"title":"Interacting double-state scattering system","authors":"Boulbeba Abdelmoumen, H. Baklouti, Slaheddine Ben Abdeljeilil","doi":"10.3233/ASY-181485","DOIUrl":"https://doi.org/10.3233/ASY-181485","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"65 1","pages":"15-42"},"PeriodicalIF":0.0,"publicationDate":"2018-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75795211","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: 3
Homogenization of biased convolution type operators 偏卷积型算子的均匀化
Asymptot. Anal. Pub Date : 2018-11-30 DOI: 10.3233/asy-191533
Andrey L. Piatnitski, E. Zhizhina
{"title":"Homogenization of biased convolution type operators","authors":"Andrey L. Piatnitski, E. Zhizhina","doi":"10.3233/asy-191533","DOIUrl":"https://doi.org/10.3233/asy-191533","url":null,"abstract":"This paper deals with homogenization of parabolic problems for integral convolution type operators with a non-symmetric jump kernel in a periodic elliptic medium. It is shown that the homogenization result holds in moving coordinates. We determine the corresponding effective velocity and prove that the limit operator is a second order parabolic operator with constant coefficients. We also consider the behaviour of the effective velocity in the case of small antisymmetric perturbations of a symmetric kernel.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"49 1","pages":"241-262"},"PeriodicalIF":0.0,"publicationDate":"2018-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88889264","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: 7
Energy conservation for the Euler equations on T2×R+ for weak solutions defined without reference to the pressure 在T2×R+上的欧拉方程的能量守恒，对于不参考压力定义的弱解
Asymptot. Anal. Pub Date : 2018-11-19 DOI: 10.3233/ASY-181482
James C. Robinson, José L. Rodrigo, Jack W. D. Skipper
{"title":"Energy conservation for the Euler equations on T2×R+ for weak solutions defined without reference to the pressure","authors":"James C. Robinson, José L. Rodrigo, Jack W. D. Skipper","doi":"10.3233/ASY-181482","DOIUrl":"https://doi.org/10.3233/ASY-181482","url":null,"abstract":"We study weak solutions of the incompressible Euler equations on T2×R+; we use test functions that are divergence free and have zero normal component, thereby obtaining a definition that does not involve the pressure. We prove energy conservation under the assumptions that u∈L3(0,T;L3(T2×R+)), lim|y|→01|y|∫0T∫T2∫x3>|y|∞|u(x+y)−u(x)|3dxdt=0, and an additional continuity condition near the boundary: for some δ>0 we require u∈L3(0,T;C0(T2×[0,δ])). We note that all our conditions are satisfied whenever u(x,t)∈Cα, for some α>1/3, with Holder constant C(x,t)∈L3(T2×R+×(0,T)).","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"19 1","pages":"185-202"},"PeriodicalIF":0.0,"publicationDate":"2018-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90167895","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: 16
Second-order approximation of free-discontinuity problems with linear growth 线性增长的自由不连续问题的二阶逼近
Asymptot. Anal. Pub Date : 2018-10-09 DOI: 10.3233/ASY-181476
Teresa Esposito
{"title":"Second-order approximation of free-discontinuity problems with linear growth","authors":"Teresa Esposito","doi":"10.3233/ASY-181476","DOIUrl":"https://doi.org/10.3233/ASY-181476","url":null,"abstract":"with g : [0,+∞) → [0,+∞) increasing and bounded. The approximating functionals are of AmbrosioTortorelli type and depend on the Hessian or on the Laplacian of the edge variable v which thus belongs to W (Ω). When the space dimension is equal to two and three v is then continuous and this improved regularity leads to a sequence of approximating functionals which are ready to be used for numerical simulations.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"5 1","pages":"21-52"},"PeriodicalIF":0.0,"publicationDate":"2018-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73656968","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
Structural theorems for quasiasymptotics of ultradistributions 超分布的拟渐近性结构定理
Asymptot. Anal. Pub Date : 2018-09-23 DOI: 10.3233/ASY-181514
L. Neyt, J. Vindas
{"title":"Structural theorems for quasiasymptotics of ultradistributions","authors":"L. Neyt, J. Vindas","doi":"10.3233/ASY-181514","DOIUrl":"https://doi.org/10.3233/ASY-181514","url":null,"abstract":"We provide complete structural theorems for the so-called quasiasymptotic behavior of ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ultradistributions and discuss connections with Gelfand-Shilov spaces.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"142 1","pages":"1-18"},"PeriodicalIF":0.0,"publicationDate":"2018-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76208293","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: 3
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