Classical Solutions of Hyperbolic Systems of PDEs with Kinetic Structure

Misha Perepelitsa

doi:10.1137/19m1244160

Classical Solutions of Hyperbolic Systems of PDEs with Kinetic Structure

SIAM Journal on Mathematical Analysis ◽

10.1137/19m1244160 ◽

2020 ◽

Vol 52 (2) ◽

pp. 1864-1883

Author(s):

Misha Perepelitsa

Keyword(s):

Hyperbolic Systems ◽

Classical Solutions ◽

Systems Of Pdes

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Entropy and the stability of classical solutions of hyperbolic systems of conservation laws

Lecture Notes in Mathematics - Recent Mathematical Methods in Nonlinear Wave Propagation ◽

10.1007/bfb0093706 ◽

1996 ◽

pp. 48-69 ◽

Cited By ~ 16

Author(s):

C. M. Dafermos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Systems Of Conservation Laws ◽

The Stability

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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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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 ◽

Cited By ~ 15

Author(s):

Jianli Liu ◽

Yi Zhou

Keyword(s):

Asymptotic Behaviour ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Global classical solutions to a kind of mixed initial-boundary value problem for inhomogeneous quasilinear hyperbolic systems

Applications of Mathematics ◽

10.1007/s10492-012-0015-x ◽

2012 ◽

Vol 57 (3) ◽

pp. 231-261

Author(s):

Yong-Fu Yang

Keyword(s):

Boundary Value Problem ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions ◽

Initial Boundary Value

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Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data

Chinese Annals of Mathematics Series B ◽

10.1007/bf02498781 ◽

2000 ◽

Vol 21 (4) ◽

pp. 413-440

Author(s):

Kong Dexing

Keyword(s):

Initial Data ◽

Life Span ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Slow Decay

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Point-wise decay estimate for the global classical solutions to quasilinear hyperbolic systems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1103 ◽

2009 ◽

Vol 32 (13) ◽

pp. 1669-1680 ◽

Cited By ~ 10

Author(s):

Yi Zhou

Keyword(s):

Decay Estimate ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Asymptotic behaviour of global classical solutions to the mixed initial-boundary value problem for diagonalizable quasilinear hyperbolic systems

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxr032 ◽

2011 ◽

Vol 78 (1) ◽

pp. 1-31 ◽

Cited By ~ 4

Author(s):

Z.-Q. Shao

Keyword(s):

Boundary Value Problem ◽

Asymptotic Behaviour ◽

Hyperbolic Systems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions ◽

Initial Boundary Value

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GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS

Chinese Annals of Mathematics Series B ◽

10.1142/s0252959902000316 ◽

2002 ◽

Vol 23 (03) ◽

pp. 335-348 ◽

Cited By ~ 7

Author(s):

PING YAN

Keyword(s):

Total Variation ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Global Classical Solutions

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Breakdown of classical solutions to quasilinear hyperbolic systems

Nonlinear Analysis ◽

10.1016/s0362-546x(00)85025-7 ◽

2000 ◽

Vol 40 (1-8) ◽

pp. 407-437 ◽

Cited By ~ 21

Author(s):

Ta-tsien Li ◽

De-xing Kong

Keyword(s):

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems

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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 ◽

Cited By ~ 3

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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