Blow-up for compressible Euler system with space-dependent damping in 1-D-Reference-Cited by-同舟云学术

Blow-up for compressible Euler system with space-dependent damping in 1-D

Published:2023-01-01 Issue:1 Volume:12 Page:
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Geng Jinbo¹,Lai Ning-An¹,Yuen Manwai²,Zhou Jiang¹

Affiliation:

1. Department of Mathematics, Zhejiang Normal University , Jinhua 321004 , China

2. Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Po Ling Road, Tai Po, New Territories , Hong Kong , China

Abstract

AbstractThis article considers the Cauchy problem for compressible Euler system in

{\bf{R}}

with damping, in which the coefficient depends on the space variable. Assuming the initial density has a small perturbation around a constant state and both the small perturbation and the small initial velocity field are compact supported, finite-time blow-up result will be established. This result reveals the fact that if the space-dependent damping coefficient decays fast enough in the far field (belongs to

L1(R)

{L}^{1}\left({\bf{R}})

), then the damping is non-effective to the long-time behavior of the solution.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2022-0304/pdf

Reference34 articles.

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