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

[31] Blowup of classical solutions to the pressureless Euler/isentropic Navier-Stokes equations
Dong, Jianwei
Lou, Guangpu
Yang, Yong
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 7425 - 7431
[32] On Blowup of Classical Solutions to the Compressible Navier-Stokes Equations
Zhouping Xin
Wei Yan
Communications in Mathematical Physics, 2013, 321 : 529 - 541
[33] Blowup of smooth solution for non-isentropic magnetohydrodynamic equations without heat conductivity
Duan, Qin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 1865 - 1879
[34] Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
Amster, P
Varela, MPB
Jüngel, A
Mariani, MC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (01) : 52 - 62
[35] On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping
Hou, Fei
Yin, Huicheng
NONLINEARITY, 2017, 30 (06) : 2485 - 2517
[36] Existence of periodic solutions for a one-dimensional isentropic model system of compressible viscous gas
Yanagi, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (02) : 279 - 298
[37] On the regularity of solutions of the compressible isentropic Navier-Stokes equations
Desjardins, B
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL 1, 1999, 129 : 215 - 224
[38] Weak solutions of the compressible isentropic Navier-Stokes equations
Desjardins, B
APPLIED MATHEMATICS LETTERS, 1999, 12 (07) : 107 - 111
[39] Blowup of smooth solutions of a class of complex conservation laws
Kong, De-Xing
Wei, Chang-Hua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 406 (02) : 464 - 474
[40] Blowup phenomenon for the initial-boundary value problem of the non-isentropic compressible Euler equations
Cheung, Ka Luen
Wong, Sen
Yuen, Manwai
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (04)

← 1 2 3 4 5 →