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Communications in Partial Differential Equations最新文献

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Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system 耗散 Aw-Rascle 系统硬拥塞模型的对偶解
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-08-05 DOI: 10.1080/03605302.2024.2380696
Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin, Ewelina Zatorska
{"title":"Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system","authors":"Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin, Ewelina Zatorska","doi":"10.1080/03605302.2024.2380696","DOIUrl":"https://doi.org/10.1080/03605302.2024.2380696","url":null,"abstract":"We introduce the notion of duality solution for the hard-congestion model on the real line, and additionally prove an existence result for this class of solutions. Our study revolves around the ana...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media 基于三维随机椭圆介质二阶校正器的最佳人工边界条件
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-07-17 DOI: 10.1080/03605302.2024.2374568
Jianfeng Lu, Felix Otto, Lihan Wang
{"title":"Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media","authors":"Jianfeng Lu, Felix Otto, Lihan Wang","doi":"10.1080/03605302.2024.2374568","DOIUrl":"https://doi.org/10.1080/03605302.2024.2374568","url":null,"abstract":"We are interested in numerical algorithms for computing the electrical field generated by a charge distribution localized on scale l in an infinite heterogeneous medium, in a situation where the m...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations 空间相关守恒定律和汉密尔顿-雅可比方程中的初始数据识别
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-07-08 DOI: 10.1080/03605302.2024.2348047
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
{"title":"Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations","authors":"Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla","doi":"10.1080/03605302.2024.2348047","DOIUrl":"https://doi.org/10.1080/03605302.2024.2348047","url":null,"abstract":"Consider a Conservation Law and a Hamilton-Jacobi equation with a flux/Hamiltonian depending also on the space variable. We characterize first the attainable set of the two equations and, second, t...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141612511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Steady solutions for the Schrödinger map equation 薛定谔映射方程的稳定解
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-07-01 DOI: 10.1080/03605302.2024.2358500
Claudia García, Luis Vega
{"title":"Steady solutions for the Schrödinger map equation","authors":"Claudia García, Luis Vega","doi":"10.1080/03605302.2024.2358500","DOIUrl":"https://doi.org/10.1080/03605302.2024.2358500","url":null,"abstract":"In this paper we use bifurcation methods to construct a new family of solutions of the binormal flow, also known as the vortex filament equation, which do not change their form. Our examples are co...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141612509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity 关于具有等速扩散性的稳定分层流体的静水极限
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-06-27 DOI: 10.1080/03605302.2024.2366226
Roberta Bianchini, Vincent Duchêne
{"title":"On the hydrostatic limit of stably stratified fluids with isopycnal diffusivity","authors":"Roberta Bianchini, Vincent Duchêne","doi":"10.1080/03605302.2024.2366226","DOIUrl":"https://doi.org/10.1080/03605302.2024.2366226","url":null,"abstract":"This article is concerned with rigorously justifying the hydrostatic limit for continuously stratified incompressible fluids under the influence of gravity. The main distinction of this work compar...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141612510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability estimates for the holonomy inverse problem 整体逆问题的稳定性估计
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-05-27 DOI: 10.1080/03605302.2024.2346942
Mihajlo Cekić, Thibault Lefeuvre
{"title":"Stability estimates for the holonomy inverse problem","authors":"Mihajlo Cekić, Thibault Lefeuvre","doi":"10.1080/03605302.2024.2346942","DOIUrl":"https://doi.org/10.1080/03605302.2024.2346942","url":null,"abstract":"On a Riemannian manifold (M, g) with Anosov geodesic flow, the problem of recovering a connection from the knowledge of traces of its holonomies along primitive closed geodesics is known as the hol...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence towards equilibrium for a model with partial diffusion 部分扩散模型向平衡的收敛
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-05-09 DOI: 10.1080/03605302.2024.2344806
Delphine Salort, Didier Smets
{"title":"Convergence towards equilibrium for a model with partial diffusion","authors":"Delphine Salort, Didier Smets","doi":"10.1080/03605302.2024.2344806","DOIUrl":"https://doi.org/10.1080/03605302.2024.2344806","url":null,"abstract":"","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140996502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Standing waves and global well-posedness for the 2d Hartree equation with a point interaction 具有点相互作用的哈特里二维方程的驻波和全局好求解性
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-04-27 DOI: 10.1080/03605302.2024.2338534
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
{"title":"Standing waves and global well-posedness for the 2d Hartree equation with a point interaction","authors":"Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone","doi":"10.1080/03605302.2024.2338534","DOIUrl":"https://doi.org/10.1080/03605302.2024.2338534","url":null,"abstract":"We study a class of two-dimensional nonlinear Schrödinger equations with point-like singular perturbation and Hartree non-linearity. The point-like singular perturbation of the free Laplacian induc...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the limiting amplitude principle for the wave equation with variable coefficients 关于可变系数波方程的极限振幅原理
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-04-26 DOI: 10.1080/03605302.2024.2341070
Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev
{"title":"On the limiting amplitude principle for the wave equation with variable coefficients","authors":"Anton Arnold, Sjoerd Geevers, Ilaria Perugia, Dmitry Ponomarev","doi":"10.1080/03605302.2024.2341070","DOIUrl":"https://doi.org/10.1080/03605302.2024.2341070","url":null,"abstract":"In this paper, we prove new results on the validity of the limiting amplitude principle (LAP) for the wave equation with nonconstant coefficients, not necessarily in divergence form. Under suitable...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A fractional Hopf Lemma for sign-changing solutions 符号变化解的分数霍普夫定理
IF 1.9 2区 数学
Communications in Partial Differential Equations Pub Date : 2024-04-25 DOI: 10.1080/03605302.2024.2337637
Serena Dipierro, Nicola Soave, Enrico Valdinoci
{"title":"A fractional Hopf Lemma for sign-changing solutions","authors":"Serena Dipierro, Nicola Soave, Enrico Valdinoci","doi":"10.1080/03605302.2024.2337637","DOIUrl":"https://doi.org/10.1080/03605302.2024.2337637","url":null,"abstract":"In this paper we prove some results on the boundary behavior of solutions to fractional elliptic problems. Firstly, we establish a Hopf Lemma for solutions to some integro-differential equations. T...","PeriodicalId":50657,"journal":{"name":"Communications in Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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