Local well-posedness of the 1d compressible Navier–Stokes system with rough data

Ke Chen; Ruilin Hu; Quoc Hung Nguyen

doi:10.1007/s00526-023-02653-w

Local well-posedness of the 1d compressible Navier–Stokes system with rough data

Ke Chen
, Ruilin Hu
, Quoc Hung Nguyen

Department of Mathematical Sciences

Fudan University
Chinese Academy of Sciences

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

Abstract

This paper presents a new approach to the local well-posedness of the 1d compressible Navier–Stokes systems with rough initial data. Our approach is based on establishing some smoothing and Lipschitz-type estimates for the 1d parabolic equation with piecewise continuous coefficients.

Original language	English
Article number	42
Journal	Calculus of Variations and Partial Differential Equations
Volume	63
Issue number	2
Early online date	28 Jan 2024
DOIs	https://doi.org/10.1007/s00526-023-02653-w
Publication status	Published - 31 Mar 2024

Bibliographical note

Publisher Copyright:
© 2024, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00526-023-02653-w

Cite this

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title = "Local well-posedness of the 1d compressible Navier–Stokes system with rough data",

abstract = "This paper presents a new approach to the local well-posedness of the 1d compressible Navier–Stokes systems with rough initial data. Our approach is based on establishing some smoothing and Lipschitz-type estimates for the 1d parabolic equation with piecewise continuous coefficients.",

author = "Ke Chen and Ruilin Hu and Nguyen, \{Quoc Hung\}",

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Local well-posedness of the 1d compressible Navier–Stokes system with rough data

Abstract

Bibliographical note

ASJC Scopus subject areas

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