Global Existence of Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems

Emerging Topics on Differential Equations and Their Applications ◽

10.1142/9789814449755_0011 ◽

2013 ◽

pp. 132-144

Author(s):

Peng Qu ◽

Cunming Liu

Keyword(s):

Global Existence ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems

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Weak linear degeneracy and global existence of classical solutions for quasilinear hyperbolic systems

Nonlinear Evolutionary Partial Differential Equations - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/003/23 ◽

1996 ◽

pp. 283-291

Keyword(s):

Global Existence ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Linear Degeneracy ◽

Weak Linear Degeneracy

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Global existence of classical solutions to the mixed initial–boundary value problem for quasilinear hyperbolic systems of diagonal form with large BV data

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.06.066 ◽

2009 ◽

Vol 360 (2) ◽

pp. 398-411 ◽

Author(s):

Zhi-Qiang Shao

Keyword(s):

Global Existence ◽

Boundary Value Problem ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Classical Solutions ◽

Diagonal Form ◽

Quasilinear Hyperbolic Systems ◽

Initial Boundary Value

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Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields

Journal of Differential Equations ◽

10.1016/j.jde.2006.12.020 ◽

2007 ◽

Vol 235 (1) ◽

pp. 127-165 ◽

Author(s):

Wen-Rong Dai ◽

De-Xing Kong

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Linearly Degenerate

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Corrigendum to “Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields” [J. Differential Equations 235 (2007) 127–165]

Journal of Differential Equations ◽

10.1016/j.jde.2007.09.004 ◽

2007 ◽

Vol 242 (2) ◽

pp. 322-323

Author(s):

Wen-Rong Dai ◽

De-Xing Kong

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Differential Equations ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Linearly Degenerate

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Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems of diagonal form with large BV data

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2013.12.2739 ◽

2013 ◽

Vol 12 (6) ◽

pp. 2739-2752

Author(s):

Zhi-Qiang Shao ◽

Keyword(s):

Global Existence ◽

Hyperbolic Systems ◽

Goursat Problem ◽

Classical Solutions ◽

Diagonal Form ◽

Quasilinear Hyperbolic Systems

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Global existence of classical solutions to the Cauchy problem for a kind of quasilinear hyperbolic systems in divergence form

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.05.050 ◽

2009 ◽

Vol 359 (2) ◽

pp. 570-580

Author(s):

Yan Guan

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Hyperbolic Systems ◽

Divergence Form ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

The Cauchy Problem

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A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30669-0 ◽

2000 ◽

Vol 20 (4) ◽

pp. 571-576

Author(s):

Yongshu Zheng ◽

Fagui Liu

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Diagonal Form ◽

Sufficient Condition ◽

Necessary And Sufficient Condition ◽

Quasilinear Hyperbolic Systems ◽

Necessary And Sufficient

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Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems

Nonlinear Analysis ◽

10.1016/j.na.2003.10.022 ◽

2004 ◽

Vol 56 (7) ◽

pp. 961-974 ◽

Author(s):

Ta-Tsien Li ◽

Libin B. Wang

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

The Cauchy Problem

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Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems with BV data

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2930 ◽

2013 ◽

Vol 37 (11) ◽

pp. 1700-1716

Author(s):

Zhi-Qiang Shao

Keyword(s):

Global Existence ◽

Hyperbolic Systems ◽

Goursat Problem ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems

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Asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.797 ◽

2007 ◽

Vol 30 (4) ◽

pp. 479-500 ◽

Author(s):

Jianli Liu ◽

Yi Zhou

Keyword(s):

Asymptotic Behaviour ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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