Lagrangian-eulerian methods for uniqueness in hydrodynamic systems

Peter Constantin

doi:10.1016/j.aim.2015.03.010

Lagrangian-eulerian methods for uniqueness in hydrodynamic systems

Peter Constantin

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

21 Scopus citations

Abstract

We present a Lagrangian-Eulerian strategy for proving uniqueness and local existence of solutions of limited smoothness for a class of incompressible hydrodynamic models including Oldroyd-B type complex fluid models and zero magnetic resistivity magneto-hydrodynamics equations.

Original language	English (US)
Pages (from-to)	67-102
Number of pages	36
Journal	Advances in Mathematics
Volume	278
DOIs	https://doi.org/10.1016/j.aim.2015.03.010
State	Published - Jun 5 2015

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Lagrangian methods
Magnetohydrodynamics
Navier-Stokes equations
Oldroyd-B
Stokes equations
Uniqueness

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10.1016/j.aim.2015.03.010

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title = "Lagrangian-eulerian methods for uniqueness in hydrodynamic systems",

abstract = "We present a Lagrangian-Eulerian strategy for proving uniqueness and local existence of solutions of limited smoothness for a class of incompressible hydrodynamic models including Oldroyd-B type complex fluid models and zero magnetic resistivity magneto-hydrodynamics equations.",

keywords = "Lagrangian methods, Magnetohydrodynamics, Navier-Stokes equations, Oldroyd-B, Stokes equations, Uniqueness",

author = "Peter Constantin",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = jun,

day = "5",

doi = "10.1016/j.aim.2015.03.010",

language = "English (US)",

volume = "278",

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journal = "Advances in Mathematics",

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publisher = "Academic Press Inc.",

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AU - Constantin, Peter

PY - 2015/6/5

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N2 - We present a Lagrangian-Eulerian strategy for proving uniqueness and local existence of solutions of limited smoothness for a class of incompressible hydrodynamic models including Oldroyd-B type complex fluid models and zero magnetic resistivity magneto-hydrodynamics equations.

AB - We present a Lagrangian-Eulerian strategy for proving uniqueness and local existence of solutions of limited smoothness for a class of incompressible hydrodynamic models including Oldroyd-B type complex fluid models and zero magnetic resistivity magneto-hydrodynamics equations.

KW - Lagrangian methods

KW - Magnetohydrodynamics

KW - Navier-Stokes equations

KW - Oldroyd-B

KW - Stokes equations

KW - Uniqueness

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M3 - Article

AN - SCOPUS:84927514320

SN - 0001-8708

VL - 278

SP - 67

EP - 102

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Lagrangian-eulerian methods for uniqueness in hydrodynamic systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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