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Asymptot. Anal.最新文献

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Exponential convergence to equilibrium of solutions of the Kac equation and homogeneous Boltzmann equation for Maxwellian without angular cut-off 麦克斯韦方程组无角截止的Kac方程和齐次Boltzmann方程解的指数收敛平衡
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171407
Fei Meng, Xiao-Ping Yang
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引用次数: 0
Higher order asymptotic analysis of the Klein-Gordon equation in the non-relativistic limit regime 非相对论极限区Klein-Gordon方程的高阶渐近分析
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171414
Yong Lu, Zhifei Zhang
{"title":"Higher order asymptotic analysis of the Klein-Gordon equation in the non-relativistic limit regime","authors":"Yong Lu, Zhifei Zhang","doi":"10.3233/ASY-171414","DOIUrl":"https://doi.org/10.3233/ASY-171414","url":null,"abstract":"In this paper, we study the asymptotic behavior of nonlinear Klein-Gordon equations in the non-relativistic limit regime. By employing the techniques in geometric optics, we show that the Klein-Gordon equation can be approximated by nonlinear Schrödinger equations. In particular, we show error estimates which are of the same order as the initial error. Our result gives a mathematical verification for some numerical results obtained in [1, 2], and offers a rigorous justification for a technical assumption in the numerical studies [1].","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"197 1","pages":"157-175"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72919310","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
Development of congestion in compressible flow with singular pressure 奇异压力下可压缩流堵塞研究进展
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171421
D. Bresch, M. Renardy
{"title":"Development of congestion in compressible flow with singular pressure","authors":"D. Bresch, M. Renardy","doi":"10.3233/ASY-171421","DOIUrl":"https://doi.org/10.3233/ASY-171421","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"42 1","pages":"95-101"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76374348","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
High frequency approximation of solutions to Klein-Gordon equation in Orlicz framework Orlicz框架下Klein-Gordon方程解的高频逼近
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-161398
I. B. Ayed
{"title":"High frequency approximation of solutions to Klein-Gordon equation in Orlicz framework","authors":"I. B. Ayed","doi":"10.3233/ASY-161398","DOIUrl":"https://doi.org/10.3233/ASY-161398","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"28 1","pages":"181-206"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79688414","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
Asymptotic behavior of a model for order-disorder and phase separation 有序-无序和相分离模型的渐近行为
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171419
A. Miranville, Wafa Saoud, Raafat Talhouk
{"title":"Asymptotic behavior of a model for order-disorder and phase separation","authors":"A. Miranville, Wafa Saoud, Raafat Talhouk","doi":"10.3233/ASY-171419","DOIUrl":"https://doi.org/10.3233/ASY-171419","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"13 1","pages":"57-76"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84648663","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: 15
Mathematical justification of the obstacle problem for a piezoelectric shallow shell 压电浅壳障碍问题的数学证明
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171411
G. Yan, B. Miara
{"title":"Mathematical justification of the obstacle problem for a piezoelectric shallow shell","authors":"G. Yan, B. Miara","doi":"10.3233/ASY-171411","DOIUrl":"https://doi.org/10.3233/ASY-171411","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"39 1","pages":"71-97"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73917335","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
A phase-field damage model based on evolving microstructure 基于微观结构演化的相场损伤模型
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-161396
H. Hanke, D. Knees
{"title":"A phase-field damage model based on evolving microstructure","authors":"H. Hanke, D. Knees","doi":"10.3233/ASY-161396","DOIUrl":"https://doi.org/10.3233/ASY-161396","url":null,"abstract":"In this paper we discuss a damage model that is based on microstructure evolution. In the context of evolutionary Γ-convergence we derive a corresponding effective macroscopic model. In this model, the damage state of a given material point is related to a unit cell problem incorporating a specific microscopic defect. The size and shape of this underlying microscopic defect is determined by the evolution. According to the small intrinsic length scale inherent to the original models a numerical simulation of damage progression in a device of realistic size is hopeless. Due to the scale separation in the effective model, its numerical treatment seems promising.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"23 1","pages":"149-180"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83930106","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: 20
Existence results for a Kirchhoff-type second-order differential equation on the half-line with impulses 一类带脉冲半线上kirchhoff型二阶微分方程的存在性结果
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171437
S. Heidarkhani, G. Afrouzi, S. Moradi
{"title":"Existence results for a Kirchhoff-type second-order differential equation on the half-line with impulses","authors":"S. Heidarkhani, G. Afrouzi, S. Moradi","doi":"10.3233/ASY-171437","DOIUrl":"https://doi.org/10.3233/ASY-171437","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"107 1","pages":"137-158"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80793963","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
Existence and stability of the steady state solution of a thin film on an inclined periodic solid substrate under gravity 重力作用下倾斜周期性固体衬底上薄膜稳态解的存在性和稳定性
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171431
Ahmad Alhasanat, Chunhua Ou
{"title":"Existence and stability of the steady state solution of a thin film on an inclined periodic solid substrate under gravity","authors":"Ahmad Alhasanat, Chunhua Ou","doi":"10.3233/ASY-171431","DOIUrl":"https://doi.org/10.3233/ASY-171431","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"17 1","pages":"191-207"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88826781","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
Spectral analysis of a non-selfadjoint operator generated by an energy harvesting model and application to an exact controllability problem 能量收集模型产生的非自伴随算子的谱分析及其在精确可控问题中的应用
Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171413
M. Shubov
{"title":"Spectral analysis of a non-selfadjoint operator generated by an energy harvesting model and application to an exact controllability problem","authors":"M. Shubov","doi":"10.3233/ASY-171413","DOIUrl":"https://doi.org/10.3233/ASY-171413","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"27 1","pages":"119-156"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89402401","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
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