Hopf Bifurcation From Viscous Shock Waves

Björn Sandstede; Arnd Scheel

doi:10.1137/060675587

Hopf Bifurcation From Viscous Shock Waves

SIAM Journal on Mathematical Analysis ◽

10.1137/060675587 ◽

2008 ◽

Vol 39 (6) ◽

pp. 2033-2052 ◽

Cited By ~ 19

Author(s):

Björn Sandstede ◽

Arnd Scheel

Keyword(s):

Hopf Bifurcation ◽

Shock Waves ◽

Viscous Shock Waves

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Hopf Bifurcation of Viscous Shock Waves in Compressible Gas Dynamics and MHD

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-008-0112-x ◽

2008 ◽

Vol 190 (1) ◽

pp. 107-140 ◽

Cited By ~ 22

Author(s):

Benjamin Texier ◽

Kevin Zumbrun

Keyword(s):

Hopf Bifurcation ◽

Shock Waves ◽

Gas Dynamics ◽

Viscous Shock Waves ◽

Compressible Gas

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O(2)Hopf bifurcation of viscous shock waves in a channel

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2015.03.002 ◽

2015 ◽

Vol 308 ◽

pp. 59-79 ◽

Cited By ~ 4

Author(s):

Alin Pogan ◽

Jinghua Yao ◽

Kevin Zumbrun

Keyword(s):

Hopf Bifurcation ◽

Shock Waves ◽

Viscous Shock Waves

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Numerical Investigation of Examples of Unstable Viscous Shock Waves

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8372-6_15 ◽

2001 ◽

pp. 613-621

Author(s):

Gunilla Kreiss ◽

Mattias Liefvendahl

Keyword(s):

Shock Waves ◽

Numerical Investigation ◽

Viscous Shock Waves

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Numerical Error in the k-ε Turbulence Model Applied to Eddy-Viscous Shock Waves

AIAA Journal ◽

10.2514/1.j055208 ◽

2016 ◽

Vol 54 (11) ◽

pp. 3673-3678 ◽

Cited By ~ 2

Author(s):

Krishnendu Sinha ◽

Rachit S. Singh

Keyword(s):

Shock Waves ◽

Turbulence Model ◽

Numerical Error ◽

Viscous Shock Waves

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Stability of a Composite Wave of Two Viscous Shock Waves for the Full Compressible Navier-Stokes Equation

Communications in Mathematical Physics ◽

10.1007/s00220-009-0843-z ◽

2009 ◽

Vol 289 (3) ◽

pp. 841-861 ◽

Cited By ~ 44

Author(s):

Feimin Huang ◽

Akitaka Matsumura

Keyword(s):

Shock Waves ◽

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Composite Wave ◽

Viscous Shock Waves

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Pointwise semigroup methods and stability of viscous shock waves

Indiana University Mathematics Journal ◽

10.1512/iumj.1998.47.1604 ◽

1998 ◽

Vol 47 (3) ◽

pp. 741-872 ◽

Cited By ~ 144

Author(s):

Kevin Zumbrun ◽

Peter Howard

Keyword(s):

Shock Waves ◽

Viscous Shock Waves

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Lp-decay rates for perturbations of degenerate scalar viscous shock waves

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.04.091 ◽

2011 ◽

Vol 382 (2) ◽

pp. 864-882

Author(s):

Ramón G. Plaza

Keyword(s):

Shock Waves ◽

Decay Rates ◽

Viscous Shock Waves

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Nonlinear Stability of Large Amplitude Viscous Shock Waves to the One-dimensional System of Viscoelasticity

SIAM Journal on Mathematical Analysis ◽

10.1137/20m1319139 ◽

2021 ◽

Vol 53 (2) ◽

pp. 1818-1830

Author(s):

Jinjing Liu ◽

Zhenhua Guo

Keyword(s):

Shock Waves ◽

Nonlinear Stability ◽

Large Amplitude ◽

Dimensional System ◽

One Dimensional ◽

Viscous Shock Waves ◽

The One

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Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas

Journal of Differential Equations ◽

10.1016/j.jde.2014.10.010 ◽

2015 ◽

Vol 258 (4) ◽

pp. 1129-1157 ◽

Cited By ~ 10

Author(s):

Lili Fan ◽

Akitaka Matsumura

Keyword(s):

Asymptotic Stability ◽

Shock Waves ◽

Ideal Gas ◽

Dimensional System ◽

One Dimensional ◽

Composite Wave ◽

Viscous Shock Waves

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Spectral Stability of Small-Amplitude Viscous Shock Waves in Several Space Dimensions

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-009-0272-3 ◽

2009 ◽

Vol 195 (2) ◽

pp. 353-373 ◽

Cited By ~ 9

Author(s):

Heinrich Freistühler ◽

Peter Szmolyan

Keyword(s):

Shock Waves ◽

Small Amplitude ◽

Spectral Stability ◽

Viscous Shock Waves

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