A global existence result for the semigeostrophic equations in three dimensional convex domains

Author:

Ambrosio Luigi, ,Colombo Maria,De Philippis Guido,Figalli Alessio, , ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference26 articles.

1. Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case,;L. Ambrosio;Comm. Partial Differential Equations,2012

2. "Functions of Bounded Variation and Free Discontinuity Problems,";L. Ambrosio;Oxford Mathematical Monographs,2000

3. Transport equation and Cauchy problem for $BV$ vector fields,;L. Ambrosio;Invent. Math.,2004

4. Transport equation and Cauchy problem for non-smooth vector fields,;L. Ambrosio;in,2008

5. Weak existence for the semigeostrophic equation formulated as a coupled Monge-Ampère/transport problem,;J.-D. Benamou;SIAM J. Appl. Math.,1998

Cited by 23 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A new implementation of the geometric method for solving the Eady slice equations;Journal of Computational Physics;2022-11

2. Semi-discrete optimal transport methods for the semi-geostrophic equations;Calculus of Variations and Partial Differential Equations;2022-01-16

3. Linear Dynamics of the Semi-geostrophic Equations in Eulerian Coordinates on $${\mathbb {R}}^{3}$$;Journal of Mathematical Fluid Mechanics;2021-05-05

4. On the convexity condition for the Semi-Geostrophic system;ESAIM: Control, Optimisation and Calculus of Variations;2021

5. Global W2,1+ estimates for Monge-Ampère equation with natural boundary condition;Journal de Mathématiques Pures et Appliquées;2020-05

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3