Blow-Up for a Semi-linear Advection-Diffusion System with Energy Conservation 被引量：2

Blow-Up for a Semi-linear Advection-Diffusion System with Energy Conservation

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摘要 The authors study radial solutions to a model equation for the Navier-Stokes equations. It is shown that the model equation has self-similar singular solution if 5 ≤ n ≤ 9. It is also shown that the solution will blow up if the initial data is radial, large enough and n ≥ 5.

作者 Dapeng DU Jing LU

机构地区 Scho of Mathematical Sciences Department of Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第4期433-446,共14页 数学年刊（B辑英文版）

基金 supported by the China Postdoctoral Science Foundation (No. 20070410683).

关键词 Navier-Stokes equations Self-similar singular solutions BLOW-UP 扩散系统半线性 Stokes方程节能对流模型方程径向解奇性解

分类号 O175.25 [理学—基础数学] Q141 [生物学—生态学]

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参考文献1

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共引文献2

1Gang XU,Huicheng YIN.On the Existence and Stability of a Global Subsonic Flow in a 3D Infinitely Long Cylindrical Nozzle[J].Chinese Annals of Mathematics,Series B,2010,31(2):163-190. 被引量：1
2Ruilin HU,Ping ZHANG.On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L^(p)[J].Chinese Annals of Mathematics,Series B,2022,43(5):749-772.

引证文献2

1都大鹏.非线性数学物理方程的特解[J].东北师大学报（自然科学版）,2020,52(1):1-3. 被引量：1
2Dapeng DU.On Some Model Equations of Euler and Navier-Stokes Equations[J].Chinese Annals of Mathematics,Series B,2021,42(2):281-290. 被引量：1

二级引证文献2

1Dapeng DU.An Alternative Way of Utilizing Fixed Point Theory[J].Chinese Annals of Mathematics,Series B,2020,41(6):861-872.
2杜润梅,吕晓娜.一维线性化可压缩Navier-Stokes方程组的近似能控性[J].吉林大学学报（理学版）,2022,60(2):303-306.

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7ZHANG Shuorui,SUN Jitao.On Existence and Uniqueness of Random Impulsive Differential Equations[J].Journal of Systems Science & Complexity,2016,29(2):300-314. 被引量：1
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9罗兰,喻洪俊.BOUNDED SOLUTION OF THE RELATIVISTIC BOLTZMANN EQUATION[J].Acta Mathematica Scientia,2015,35(4):777-786.
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Chinese Annals of Mathematics,Series B

2009年第4期

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