Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2017.12.003 ◽

2018 ◽

Vol 367 ◽

pp. 11-18 ◽

Cited By ~ 1

Author(s):

Blake Barker ◽

Soyeun Jung ◽

Kevin Zumbrun

Keyword(s):

Conservation Laws ◽

Parabolic Systems ◽

Turing Patterns ◽

Periodic Waves ◽

Systems Of Conservation Laws

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Long Tails in the Long-Time Asymptotics of Quasi-Linear Hyperbolic-Parabolic Systems of Conservation Laws

SIAM Journal on Mathematical Analysis ◽

10.1137/070684835 ◽

2008 ◽

Vol 39 (6) ◽

pp. 1951-1977 ◽

Cited By ~ 1

Author(s):

Guillaume van Baalen ◽

Nikola Popović ◽

C. Eugene Wayne

Keyword(s):

Conservation Laws ◽

Parabolic Systems ◽

Time Asymptotics ◽

Long Tails ◽

Long Time ◽

Systems Of Conservation Laws ◽

Long Time Asymptotics

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On the time decay of diffusion waves for a class of parabolic systems of conservation laws

Revista Matemática Contemporânea ◽

10.21711/231766361998/rmc1518 ◽

1998 ◽

Vol 15 (18) ◽

Author(s):

Paulo Zingano

Keyword(s):

Conservation Laws ◽

Parabolic Systems ◽

Time Decay ◽

Diffusion Waves ◽

Systems Of Conservation Laws

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Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws

Memoirs of the American Mathematical Society ◽

10.1090/memo/0599 ◽

1997 ◽

Vol 125 (599) ◽

pp. 0-0 ◽

Cited By ~ 39

Author(s):

Tai-Ping Liu ◽

Yanni Zeng

Keyword(s):

Conservation Laws ◽

Large Time ◽

Parabolic Systems ◽

Large Time Behavior ◽

Time Behavior ◽

Systems Of Conservation Laws

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L p asymptotic behavior of solutions to hyperbolic-parabolic systems of conservation laws

Archiv der Mathematik ◽

10.1007/bf01207832 ◽

1996 ◽

Vol 66 (4) ◽

pp. 310-319 ◽

Cited By ~ 4

Author(s):

Yanni Zeng

Keyword(s):

Asymptotic Behavior ◽

Conservation Laws ◽

Parabolic Systems ◽

Asymptotic Behavior Of Solutions ◽

Systems Of Conservation Laws

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Large-time behavior of solutions for hyperbolic-parabolic systems of conservation laws

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.62.285 ◽

1986 ◽

Vol 62 (8) ◽

pp. 285-287 ◽

Cited By ~ 7

Author(s):

Shuichi Kawashima

Keyword(s):

Conservation Laws ◽

Large Time ◽

Parabolic Systems ◽

Large Time Behavior ◽

Time Behavior ◽

Systems Of Conservation Laws

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Systems of Conservation Laws 1

10.1017/cbo9780511612374 ◽

1999 ◽

Cited By ~ 214

Author(s):

Denis Serre

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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Hermite WENO limiting for multi-moment finite-volume methods using the ADER-DT time discretization for 1-D systems of conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2014.11.017 ◽

2015 ◽

Vol 282 ◽

pp. 381-396 ◽

Cited By ~ 2

Author(s):

Matthew R. Norman

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Time Discretization ◽

Finite Volume Methods ◽

Systems Of Conservation Laws

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On the uniqueness of solutions to hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.034 ◽

2021 ◽

Vol 291 ◽

pp. 110-153

Author(s):

Shyam Sundar Ghoshal ◽

Animesh Jana ◽

Konstantinos Koumatos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Uniqueness Of Solutions ◽

Systems Of Conservation Laws

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New developments of delta shock waves and its applications in systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.015 ◽

2012 ◽

Vol 252 (11) ◽

pp. 5951-5993 ◽

Cited By ~ 81

Author(s):

Hanchun Yang ◽

Yanyan Zhang

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

New Developments ◽

Delta Shock ◽

Systems Of Conservation Laws ◽

Delta Shock Waves

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Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

Mathematical Notes ◽

10.1134/s0001434621110365 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 972-975

Author(s):

Yu. G. Rykov

Keyword(s):

Conservation Laws ◽

Variational Formulation ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws

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