CONVERGENCE RATES TO NONLINEAR DIFFUSION WAVES FOR SOLUTIONS OF EULER EQUATIONS WITH TIME-DEPENDENT DAMPING ON QUADRANT

Mina Jiang

doi:10.17654/ms119010049

CONVERGENCE RATES TO NONLINEAR DIFFUSION WAVES FOR SOLUTIONS OF EULER EQUATIONS WITH TIME-DEPENDENT DAMPING ON QUADRANT

Far East Journal of Mathematical Sciences (FJMS) ◽

10.17654/ms119010049 ◽

2019 ◽

Vol 119 (1) ◽

pp. 49-104

Author(s):

Mina Jiang

Keyword(s):

Euler Equations ◽

Nonlinear Diffusion ◽

Convergence Rates ◽

Time Dependent ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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Optimal convergence rates to nonlinear diffusion waves for the compressible Euler–Poisson system with damping

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.04.047 ◽

2010 ◽

Vol 370 (2) ◽

pp. 511-529

Author(s):

Hongfang Ma

Keyword(s):

Nonlinear Diffusion ◽

Convergence Rates ◽

Poisson System ◽

Optimal Convergence ◽

Diffusion Waves ◽

Compressible Euler ◽

Optimal Convergence Rates ◽

Nonlinear Diffusion Waves

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Convergence rates to nonlinear diffusion waves for weak entropy solutions to p-system with damping

Science in China Series A Mathematics ◽

10.1360/03ys9057 ◽

2003 ◽

Vol 46 (4) ◽

pp. 562 ◽

Cited By ~ 2

Author(s):

Changjiang ZHU

Keyword(s):

Nonlinear Diffusion ◽

Convergence Rates ◽

Entropy Solutions ◽

P System ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping

Journal of Differential Equations ◽

10.1016/j.jde.2017.12.012 ◽

2018 ◽

Vol 264 (7) ◽

pp. 4564-4602 ◽

Cited By ~ 9

Author(s):

Haibo Cui ◽

Haiyan Yin ◽

Jinshun Zhang ◽

Changjiang Zhu

Keyword(s):

Euler Equations ◽

Nonlinear Diffusion ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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L p -convergence rates to nonlinear diffusion waves for quasilinear equations with nonlinear damping

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-013-0392-3 ◽

2013 ◽

Vol 66 (1) ◽

pp. 31-50 ◽

Cited By ~ 4

Author(s):

Shifeng Geng ◽

Lina Zhang

Keyword(s):

Nonlinear Diffusion ◽

Convergence Rates ◽

Nonlinear Damping ◽

Quasilinear Equations ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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Convergence rates to nonlinear diffusion waves for $p$-system with nonlinear damping on quadrant

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2009.23.887 ◽

2009 ◽

Vol 23 (3) ◽

pp. 887-918 ◽

Cited By ~ 13

Author(s):

Mina Jiang ◽

◽

Changjiang Zhu

Keyword(s):

Nonlinear Diffusion ◽

Convergence Rates ◽

Nonlinear Damping ◽

P System ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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Convergence rates to nonlinear diffusion waves for weak entropy solutions top-system with damping

Science in China Series A Mathematics ◽

10.1007/bf02884028 ◽

2003 ◽

Vol 46 (4) ◽

pp. 562-575 ◽

Cited By ~ 2

Author(s):

Changjiang Zhu

Keyword(s):

Nonlinear Diffusion ◽

Convergence Rates ◽

Entropy Solutions ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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Convergence Rates to Nonlinear Diffusion Waves for Solutions of System of Hyperbolic Conservation Laws with Damping

Journal of Differential Equations ◽

10.1006/jdeq.1996.0159 ◽

1996 ◽

Vol 131 (2) ◽

pp. 171-188 ◽

Cited By ~ 111

Author(s):

Kenji Nishihara

Keyword(s):

Conservation Laws ◽

Nonlinear Diffusion ◽

Hyperbolic Conservation Laws ◽

Convergence Rates ◽

Hyperbolic Conservation ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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Optimal convergence rate to nonlinear diffusion waves for Euler equations with critical overdamping

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106882 ◽

2021 ◽

Vol 113 ◽

pp. 106882

Author(s):

Haitong Li ◽

Jingyu Li ◽

Ming Mei ◽

Kaijun Zhang

Keyword(s):

Convergence Rate ◽

Euler Equations ◽

Nonlinear Diffusion ◽

Optimal Convergence Rate ◽

Optimal Convergence ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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Convergence to nonlinear diffusion waves for solutions of p-system with time-dependent damping

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.07.025 ◽

2017 ◽

Vol 456 (2) ◽

pp. 849-871 ◽

Cited By ~ 8

Author(s):

Haitong Li ◽

Jingyu Li ◽

Ming Mei ◽

Kaijun Zhang

Keyword(s):

Nonlinear Diffusion ◽

Time Dependent ◽

P System ◽

Diffusion Waves ◽

Nonlinear Diffusion Waves

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Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media

Communications in Partial Differential Equations ◽

10.1080/03605302.2010.520052 ◽

2010 ◽

Vol 36 (5) ◽

pp. 850-872 ◽

Cited By ~ 11

Author(s):

Shifeng Geng ◽

Zhen Wang

Keyword(s):

Porous Media ◽

Nonlinear Diffusion ◽

Convergence Rates ◽

Flow Through Porous Media ◽

Adiabatic Flow ◽

Diffusion Waves ◽

Flow Through ◽

Nonlinear Diffusion Waves

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