Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws

Xianfa Song

doi:10.1016/j.na.2007.07.040

Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws

Nonlinear Analysis ◽

10.1016/j.na.2007.07.040 ◽

2008 ◽

Vol 69 (7) ◽

pp. 1971-1980 ◽

Cited By ~ 8

Author(s):

Xianfa Song

Keyword(s):

Blow Up ◽

Heat Equations ◽

Blow Up Analysis ◽

System Of Heat Equations

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Blow-up analysis for a system of heat equations coupledvia nonlinear boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.832 ◽

2007 ◽

Vol 30 (10) ◽

pp. 1135-1146 ◽

Cited By ~ 4

Author(s):

Xianfa Song

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Heat Equations ◽

Blow Up Analysis ◽

System Of Heat Equations

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Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition

Applied Mathematics Letters ◽

10.1016/s0893-9659(00)00131-2 ◽

2001 ◽

Vol 14 (2) ◽

pp. 171-176 ◽

Cited By ~ 29

Author(s):

M. Pedersen ◽

Zhigui Lin

Keyword(s):

Boundary Condition ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Heat Equations ◽

Blow Up Analysis ◽

System Of Heat Equations

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A finite-time blow-up result for a class of solutions with positive initial energy for coupled system of heat equations with memories

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4695 ◽

2017 ◽

Vol 41 (4) ◽

pp. 1674-1682

Author(s):

Abdelkader Braik ◽

Yamina Miloudi ◽

Khaled Zennir

Keyword(s):

Finite Time ◽

Blow Up ◽

Coupled System ◽

Initial Energy ◽

Heat Equations ◽

Positive Initial Energy ◽

System Of Heat Equations

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The blow-up property for a system of heat equations with nonlinear boundary conditions

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-998-0020-8 ◽

1998 ◽

Vol 13 (3) ◽

pp. 281-288 ◽

Cited By ~ 1

Author(s):

Lin Zhigui ◽

Xie Chunhong ◽

Wang Mingxin

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Heat Equations ◽

System Of Heat Equations

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The blow-up rate for a system of heat equations with neumann boundary conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-999-0086-0 ◽

1999 ◽

Vol 15 (4) ◽

pp. 549-554 ◽

Cited By ~ 1

Author(s):

Zhigui Lin ◽

Chunhong Xie

Keyword(s):

Boundary Conditions ◽

Blow Up ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Heat Equations ◽

Blow Up Rate ◽

System Of Heat Equations

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Blow-up estimates for system of heat equations coupled via nonlinear boundary flux

Nonlinear Analysis ◽

10.1016/s0362-546x(03)00060-9 ◽

2003 ◽

Vol 54 (2) ◽

pp. 251-259 ◽

Cited By ~ 7

Author(s):

Lizhong Zhao ◽

Sining Zheng

Keyword(s):

Nonlinear Boundary ◽

Blow Up ◽

Heat Equations ◽

Nonlinear Boundary Flux ◽

Boundary Flux ◽

System Of Heat Equations

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Global existence and blow-up for a system of heat equations with non-linear boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1670180405 ◽

1995 ◽

Vol 18 (4) ◽

pp. 307-315 ◽

Cited By ~ 31

Author(s):

Keng Deng

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Blow Up ◽

Heat Equations ◽

Linear Boundary ◽

Non Linear ◽

System Of Heat Equations

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The blow-up rate for a system of heat equations completely coupled in the boundary conditions

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00010-8 ◽

1999 ◽

Vol 35 (3) ◽

pp. 389-398 ◽

Cited By ~ 15

Author(s):

Shu Wang ◽

Chunhong Xie ◽

Mingxin Wang

Keyword(s):

Boundary Conditions ◽

Blow Up ◽

Heat Equations ◽

Blow Up Rate ◽

System Of Heat Equations

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The Blow-up Rate for a System of Heat Equations with Non-trivial Coupling at the Boundary

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(19970110)20:1<1::aid-mma843>3.0.co;2-e ◽

1997 ◽

Vol 20 (1) ◽

pp. 1-11 ◽

Cited By ~ 21

Author(s):

Julio D. Rossi

Keyword(s):

Blow Up ◽

Heat Equations ◽

Blow Up Rate ◽

System Of Heat Equations

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The blow-up rate for a system of heat equations with nonlinear boundary conditions

Nonlinear Analysis ◽

10.1016/s0362-546x(97)00573-7 ◽

1998 ◽

Vol 34 (5) ◽

pp. 767-778 ◽

Cited By ~ 28

Author(s):

Lin Zhigui ◽

Xie Chunhong

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Heat Equations ◽

Blow Up Rate ◽

System Of Heat Equations

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