Local and global well-posedness of the fractional order EPDiff equation onRd
Author:
Funder
Austrian Science Fund
FWF
Publisher
Elsevier BV
Subject
Analysis,Applied Mathematics
Reference45 articles.
1. Dynamic theory of quasilinear parabolic equations. II. Reaction–diffusion systems;Amann;Differential Integral Equations,1990
2. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits;Arnold;Ann. Inst. Fourier (Grenoble),1966
3. Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation;Bauer;Ann. Global Anal. Geom.,2012
4. Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group;Bauer;Ann. Global Anal. Geom.,2013
5. Homogeneous Sobolev metric of order one on diffeomorphism groups on real line;Bauer;J. Nonlinear Sci.,2014
Cited by 21 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. Liouville comparison theory for breakdown of Euler-Arnold equations;Journal of Differential Equations;2024-10
2. Smooth Perturbations of the Functional Calculus and Applications to Riemannian Geometry on Spaces of Metrics;Communications in Mathematical Physics;2022-01
3. Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics;Calculus of Variations and Partial Differential Equations;2021-02-10
4. Well-posedness of the EPDiff equation with a pseudo-differential inertia operator;Journal of Differential Equations;2020-06
5. Geodesic completeness of the $$H^{3/2}$$ metric on $$\mathrm {Diff}(S^{1})$$;Monatshefte für Mathematik;2020-03-21
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