Note on Lagrangian–Eulerian methods for uniqueness in hydrodynamic systems

Peter Constantin; Joonhyun La

doi:10.1016/j.aim.2019.01.011

Note on Lagrangian–Eulerian methods for uniqueness in hydrodynamic systems

Peter Constantin, Joonhyun La

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We discuss the Lagrangian–Eulerian framework for hydrodynamic models and provide a proof of Lipschitz dependence of solutions on initial data in path space. The paper presents a corrected version of the result in [1].

Original language	English (US)
Pages (from-to)	27-52
Number of pages	26
Journal	Advances in Mathematics
Volume	345
DOIs	https://doi.org/10.1016/j.aim.2019.01.011
State	Published - Mar 17 2019

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Eulerian
Lagrangian
Path space

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10.1016/j.aim.2019.01.011

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title = "Note on Lagrangian–Eulerian methods for uniqueness in hydrodynamic systems",

abstract = "We discuss the Lagrangian–Eulerian framework for hydrodynamic models and provide a proof of Lipschitz dependence of solutions on initial data in path space. The paper presents a corrected version of the result in [1].",

keywords = "Eulerian, Lagrangian, Path space",

author = "Peter Constantin and Joonhyun La",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = mar,

day = "17",

doi = "10.1016/j.aim.2019.01.011",

language = "English (US)",

volume = "345",

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journal = "Advances in Mathematics",

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TY - JOUR

T1 - Note on Lagrangian–Eulerian methods for uniqueness in hydrodynamic systems

AU - Constantin, Peter

AU - La, Joonhyun

PY - 2019/3/17

Y1 - 2019/3/17

N2 - We discuss the Lagrangian–Eulerian framework for hydrodynamic models and provide a proof of Lipschitz dependence of solutions on initial data in path space. The paper presents a corrected version of the result in [1].

AB - We discuss the Lagrangian–Eulerian framework for hydrodynamic models and provide a proof of Lipschitz dependence of solutions on initial data in path space. The paper presents a corrected version of the result in [1].

KW - Eulerian

KW - Lagrangian

KW - Path space

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U2 - 10.1016/j.aim.2019.01.011

DO - 10.1016/j.aim.2019.01.011

M3 - Article

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SN - 0001-8708

VL - 345

SP - 27

EP - 52

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Note on Lagrangian–Eulerian methods for uniqueness in hydrodynamic systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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