Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum

Li Yachun; Xi Shuai

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Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum

机译：真空三维可压缩辐射流体动力学方程的爆破标准

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摘要

We consider the blow-up criteria for the Cauchy problems of three-dimensional compressible radiation fluids with vacuum. It is shown to own the same BKM-type criterion as the compressible Navier Stokes equations [14], while the L-(p) over tilde ((p) over tilde is an element of [2,3]) norm of the density gradient should be involved for the Serrin-type criterion. (C) 2017 Elsevier Inc. All rights reserved.

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《Journal of Mathematical Analysis and Applications》 |2018年第2期|共27页
作者
Li Yachun; Xi Shuai;
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作者单位

Shanghai Jiao Tong Univ MOE LSC Sch Math Sci Shanghai 200240 Peoples R China;

Shanghai Jiao Tong Univ Sch Math Sci Shanghai 200240 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学分析;应用数学;
关键词
Navier-Stokes-Boltzmann; Strong solutions; Vacuum; Blow-up criterion; Radiation;

机译：Navier-Stokes-Boltzmann;强溶液;真空;爆炸标准;辐射;

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专利

1. Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum [J] . Li Yachun, Xi Shuai Journal of Mathematical Analysis and Applications . 2018,第2期

机译：真空三维可压缩辐射流体动力学方程的爆破标准
2. Existence Results and Blow-Up Criterion of Compressible Radiation Hydrodynamic Equations [J] . Li Yachun, Zhu Shengguo Journal of dynamics and differential equations . 2017,第2期

机译：可压缩辐射流体动力方程的存在结果与爆破判据
3. EXISTENCE RESULTS FOR COMPRESSIBLE RADIATION HYDRODYNAMIC EQUATIONS WITH VACUUM [J] . Li Yachun, Zhu Shengguo Communications on pure and applied analysis . 2015,第3期

机译：真空可压缩辐射动力方程的存在性结果
4. A Blow-up criterion for the 3-D compressible Navier-Stokes equations [C] . Dongfen Bian, Baoquan Yuan, Yue Hu 2011 International Conference on Information Science and Technology . 2011

机译：3-D可压缩Navier-Stokes方程的爆破准则
5. Three-dimensional inverse problems of the acoustic wave equation with variable density and compressibility. [D] . Lam, Tuan Hoang. 1993

机译：具有可变密度和可压缩性的声波方程的三维逆问题。
6. Blow-up of solutions of nonlinear wave equations in three space dimensions [O] . Fritz John 1979

机译：三维空间中非线性波动方程解的爆破
7. 4 EXISTENCE RESULTS AND BLOW-UP CRITERION OF COMPRESSIBLE RADIATION HYDRODYNAMIC EQUATIONS [O] . Yachun Li, Shengguo Zhu 2016

机译：4可压缩辐射水动力方程的存在性和爆破准则
8. Calculation of three-dimensional compressible laminar and turbulent boundary layers. An implicit finite-difference procedure for solving the three-dimensional compressible laminar, transitional, and turbulent boundary-layer equations [R] . Harris, J. E. 1975

机译：三维可压缩层流和湍流边界层的计算。求解三维可压缩层流，过渡和湍流边界层方程的隐式有限差分程序

Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum

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