Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model

被引：5
|
作者：
Li, Shengxin [1 ]
Wang, Jing [2 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200232, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 222卷
关键词：
Compressible radiation; hydrodynamics; Formation of singularities; Characteristic curve methods; Riemann invariants; Shock singularity; NONLINEAR-WAVE-EQUATIONS; ASYMPTOTIC STABILITY; SHOCK PROFILES; CONTACT DISCONTINUITY; RAREFACTION WAVES; BEHAVIOR; SYSTEMS; DECAY; LIMIT; TIME;
D O I：
10.1016/j.na.2022.112969
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we are concerned with a 1D compressible radiation hydrodynamics model, which is described by a Navier-Stokes-elliptic coupled system of equations without viscosity. We prove that the smooth solutions to this model would blow up in finite time provided the first derivatives of the initial data are less than some negative constant although the initial data themselves are small. Moreover, it is shown that the singularity is indeed a shock singularity. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：16
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