Blowup of smooth solutions to the isentropic compressible quantum hydrodynamic model

被引：0

作者：

Zhang, Jie ^{[1
]}

Wang, Shu ^{[1
,2
]}

Geng, Fan ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Beijing Univ Technol, Fac Sci, Sch Math, Beijing 100124, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 17期

基金：

中国国家自然科学基金;

关键词：

blowup; compressible quantum hydrodynamic model; smooth solutions;

D O I：

10.1002/mma.8425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the blowup phenomenon of smooth solutions to the isentropic compressible quantum hydrodynamic model (QHD) with the initial density of compact support in arbitrary space dimensions.

引用

页码：10917 / 10924

页数：8

共 50 条

[21] Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
Kong DeXing
Liu KeFeng
Wang YuZhu
SCIENCE CHINA-MATHEMATICS, 2010, 53 (03) : 719 - 738
[22] Blowup of the axis-symmetric solutions for the IBVP of the isentropic Euler equations
Zhu, Xusheng
Tu, Aihua
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 95 : 99 - 106
[23] Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species
Zhu, C
Hattori, H
JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 166 (01) : 1 - 32
[24] Entropies and weak solutions of the compressible isentropic Euler equations
Chen, G.-Q.
Lefloch, P. G.
Comptes Rendus De L'Academie Des Sciences. Serie I, Mathematique, 324 (10):
[25] Entropies and weak solutions of the compressible isentropic Euler equations
Chen, GQ
Lefloch, PG
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (10): : 1105 - 1110
[26] Blowup of smooth solutions for relativistic Euler equations
Pan, R
Smoller, JA
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 262 (03) : 729 - 755
[27] Blowup of Smooth Solutions for Relativistic Euler Equations
Ronghua Pan
Joel A. Smoller
Communications in Mathematical Physics, 2006, 262 : 729 - 755
[28] Traveling wave solutions for a quantum hydrodynamic model
Gasser, I
APPLIED MATHEMATICS LETTERS, 2001, 14 (03) : 279 - 283
[29] On Blowup of Classical Solutions to the Compressible Navier-Stokes Equations
Xin, Zhouping
Yan, Wei
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 321 (02) : 529 - 541
[30] Blowup phenomena of solutions to the Euler equations for compressible fluid flow
Li, TH
Wang, DH
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 221 (01) : 91 - 101

← 1 2 3 4 5 →