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Real Analyticity of Radiation Patterns on Asymptotically Hyperbolic Manifolds 渐近双曲流形上辐射方向图的实解析性
Applied mathematics research express : AMRX Pub Date : 2017-09-01 DOI: 10.1093/AMRX/ABX002
C. Zuily
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引用次数: 4
Upscaling of Solid-electrolyte Composite Intercalation Cathodes for Energy Storage Systems 储能系统固体电解质复合插层阴极的升级研究
Applied mathematics research express : AMRX Pub Date : 2017-09-01 DOI: 10.1093/AMRX/ABX003
M. Schmuck
{"title":"Upscaling of Solid-electrolyte Composite Intercalation Cathodes for Energy Storage Systems","authors":"M. Schmuck","doi":"10.1093/AMRX/ABX003","DOIUrl":"https://doi.org/10.1093/AMRX/ABX003","url":null,"abstract":"We investigate well-accepted formulations describing charge transport in composite cathodes of batteries. Our upscaling of carefully selected microscopic equations shows three main features: (i) a novel set of six equations equipped with nine effective parameters which systematically couple the microscale to the macroscale; (ii) the coupling of transport and flow equations allows to account for three scales: pore scale, Darcy scale, and macroscale; (iii) the upscaled equations take phase separation during Li-intercalation into account as well as specific particle configurations. The wide range of applications and interest in energy storage devices make these results a promising tool to study the influence of the microstructure on current-voltage characteristics and to optimize cathode designs.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"32 1","pages":"402-430"},"PeriodicalIF":0.0,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86169599","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
A bound on the pseudospectrum for a class of non-normal Schrödinger operators. 一类非常规Schrödinger算子的伪谱界。
Applied mathematics research express : AMRX Pub Date : 2016-12-21 DOI: 10.1093/amrx/abw011
P. Dondl, P. Dorey, F. Rösler
{"title":"A bound on the pseudospectrum for a class of non-normal Schrödinger operators.","authors":"P. Dondl, P. Dorey, F. Rösler","doi":"10.1093/amrx/abw011","DOIUrl":"https://doi.org/10.1093/amrx/abw011","url":null,"abstract":"We are concerned with the non-normal Schrodinger operator H=−Δ+VH=−Δ+V on L2(Rn)L2(Rn) , where V∈W1,∞loc(Rn)V∈Wloc1,∞(Rn) and ReV(x)≥c∣x∣2−dReV(x)≥c∣x∣2−d for some c,d>0c,d>0 . The spectrum of this operator is discrete and its real part is bounded below by −d−d . In general, the e-pseudospectrum of H will have an unbounded component for any e>0e>0 and thus will not approximate the spectrum in a global sense.By exploiting the fact that the semigroup e−tHe−tH is immediately compact, we show a complementary result, namely that for every δ>0δ>0 , R>0R>0 there exists an e>0e>0 such that the e-pseudospectrum σe(H)⊂{z:Rez≥R}∪⋃λ∈σ(H){z:∣∣z−λ∣∣<δ}.σe(H)⊂{z:Rez≥R}∪⋃λ∈σ(H){z:∣z−λ∣<δ}. In particular, the unbounded part of the pseudospectrum escapes towards +∞+∞ as e decreases. In addition, we give two examples of non-selfadjoint Schrodinger operators outside of our class and study their pseudospectra in more detail.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"12 1","pages":"271-296"},"PeriodicalIF":0.0,"publicationDate":"2016-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87812310","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
Aharonov–Bohm Effect in Resonances for Scattering by Three Solenoids at Large Separation 三螺线管大间距散射共振中的Aharonov-Bohm效应
Applied mathematics research express : AMRX Pub Date : 2016-10-12 DOI: 10.1093/AMRX/ABW009
H. Tamura
{"title":"Aharonov–Bohm Effect in Resonances for Scattering by Three Solenoids at Large Separation","authors":"H. Tamura","doi":"10.1093/AMRX/ABW009","DOIUrl":"https://doi.org/10.1093/AMRX/ABW009","url":null,"abstract":"","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"52 1","pages":"65-117"},"PeriodicalIF":0.0,"publicationDate":"2016-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81093635","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
A Diffusion Limit for a Finite Capacity Storage Allocation Model 有限容量存储分配模型的扩散极限
Applied mathematics research express : AMRX Pub Date : 2016-09-02 DOI: 10.1093/AMRX/ABW008
C. Knessl, E. Sohn
{"title":"A Diffusion Limit for a Finite Capacity Storage Allocation Model","authors":"C. Knessl, E. Sohn","doi":"10.1093/AMRX/ABW008","DOIUrl":"https://doi.org/10.1093/AMRX/ABW008","url":null,"abstract":"","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"15 1","pages":"118-141"},"PeriodicalIF":0.0,"publicationDate":"2016-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88634607","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
Expectation Dependence: The Banking Firm Under Risk 期望依赖:风险下的银行企业
Applied mathematics research express : AMRX Pub Date : 2016-09-01 DOI: 10.1093/AMRX/ABW005
Udo Broll, P. Welzel, K. Wong
{"title":"Expectation Dependence: The Banking Firm Under Risk","authors":"Udo Broll, P. Welzel, K. Wong","doi":"10.1093/AMRX/ABW005","DOIUrl":"https://doi.org/10.1093/AMRX/ABW005","url":null,"abstract":"","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"184 1","pages":"281-288"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86816865","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
The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data 裂纹沿规定路径增长区域上的波动方程:存在性、唯一性和对数据的连续依赖性
Applied mathematics research express : AMRX Pub Date : 2016-08-24 DOI: 10.1093/AMRX/ABW006
G. Maso, I. Lucardesi
{"title":"The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data","authors":"G. Maso, I. Lucardesi","doi":"10.1093/AMRX/ABW006","DOIUrl":"https://doi.org/10.1093/AMRX/ABW006","url":null,"abstract":"MIUR Project ``Calculus of Variations\" (PRIN 2010-11), \u0000ERC Grant No. 290888 ``Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture''.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"68 1","pages":"184-241"},"PeriodicalIF":0.0,"publicationDate":"2016-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75873423","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: 24
Interactions Between Moderately Close Inclusions for the Two-Dimensional Dirichlet–Laplacian 二维Dirichlet-Laplacian中紧密夹杂间的相互作用
Applied mathematics research express : AMRX Pub Date : 2016-01-01 DOI: 10.1093/AMRX/ABV008
V. Bonnaillie-Noël, M. Dambrine, C. Lacave
{"title":"Interactions Between Moderately Close Inclusions for the Two-Dimensional Dirichlet–Laplacian","authors":"V. Bonnaillie-Noël, M. Dambrine, C. Lacave","doi":"10.1093/AMRX/ABV008","DOIUrl":"https://doi.org/10.1093/AMRX/ABV008","url":null,"abstract":"This paper concerns the asymptotic expansion of the solution of the Dirichlet-Laplace problem in a domain with small inclusions. This problem is well understood for the Neumann condition in dimension greater than two or Dirichlet condition in dimension greater than three. The case of two circular inclusions in a bidimensional domain was considered in [1]. In this paper, we generalize the previous result to any shape and relax the assumptions of regularity and support of the data. Our approach uses conformal mapping and suitable lifting of Dirichlet conditions. We also analyze configurations with several scales for the distance between the inclusions (when the number is larger than 2).","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"2 1","pages":"1-23"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82047074","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
A Time-Parallel Framework for Coupling Finite Element and Lattice Boltzmann Methods 有限元与晶格玻尔兹曼方法耦合的时间并行框架
Applied mathematics research express : AMRX Pub Date : 2016-01-01 DOI: 10.1093/AMRX/ABV009
M. Astorino, F. Chouly, A. Quarteroni
{"title":"A Time-Parallel Framework for Coupling Finite Element and Lattice Boltzmann Methods","authors":"M. Astorino, F. Chouly, A. Quarteroni","doi":"10.1093/AMRX/ABV009","DOIUrl":"https://doi.org/10.1093/AMRX/ABV009","url":null,"abstract":"In this work we propose a new numerical procedure for the simulation of time-dependent problems based on the coupling between the finite element method and the lattice Boltzmann method. The procedure is based on the Parareal paradigm and allows to couple efficiently the two numerical methods, each one working with its own grid size and time-step size. The motivations behind this approach are manifold. Among others, we have that one technique may be more efficient, or physically more appropriate or less memory consuming than the other depending on the target of the simulation and/or on the sub-region of the computational domain. Furthermore, the coupling with finite element method may circumvent some difficulties inherent to lattice Boltzmann discretization, for some domains with complex boundaries, or for some boundary conditions. The theoretical and numerical framework is presented for parabolic equations, in order to describe and validate numerically the methodology in a simple situation.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"173 1","pages":"24-67"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79591561","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
Laplace Eigenfunctions and Damped Wave Equation on Product Manifolds 积流形上的拉普拉斯特征函数与阻尼波动方程
Applied mathematics research express : AMRX Pub Date : 2015-03-18 DOI: 10.1093/AMRX/ABV005
N. Burq, C. Zuily
{"title":"Laplace Eigenfunctions and Damped Wave Equation on Product Manifolds","authors":"N. Burq, C. Zuily","doi":"10.1093/AMRX/ABV005","DOIUrl":"https://doi.org/10.1093/AMRX/ABV005","url":null,"abstract":"- The purpose of this article is to study possible concentrations of eigenfunc-tions of Laplace operators (or more generally quasi-modes) on product manifolds. We show that the approach of the first author and Zworski [10, 11] applies (modulo rescalling) and deduce new stabilization results for weakly damped wave equations which extend to product manifolds previous results by Leautaud-Lerner [12] obtained for products of tori.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"19 1","pages":"296-310"},"PeriodicalIF":0.0,"publicationDate":"2015-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/AMRX/ABV005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72515719","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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