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Existence and stability of viscous shock profiles for 2-D isentropic MHD with infinite electrical resistivity

  • Published:2010-03 Issue:2 Volume:30 Page:447-498
  • ISSN:0252-9602
  • Container-title:Acta Mathematica Scientia
  • language:en
  • Short-container-title:Acta Mathematica Scientia

Author:

Barker Blake,Lafitte Olivier,Zumbrun Kevin

Publisher

Elsevier BV

Subject

General Physics and Astronomy,General Mathematics

Reference76 articles.

1. A topological invariant arising in the stability analysis of travelling waves;Alexander;J Reine Angew Math,1990

2. Nonuniqueness of solutions of Riemann problems;Azevedo;Z Angew Math Phys,1996

3. Linear instability of solitary waves of a Boussinesq-type equation: a computer assisted computation;Alexander;Nonlinear World,1995

4. Magnetohydrodynamic Shock Waves;Anderson,1963

5. Stability of viscous shocks in isentropic gas dynamics;Barker;Comm Math Phys,2008

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1. Transverse bifurcation of viscous slow MHD shocks;Physica D: Nonlinear Phenomena;2021-06

2. Stability of Hydraulic Shock Profiles;Archive for Rational Mechanics and Analysis;2019-07-29

3. Non-contraction of intermediate admissible discontinuities for 3-D planar isentropic magnetohydrodynamics;Kinetic & Related Models;2018

4. Criteria on Contractions for Entropic Discontinuities of Systems of Conservation Laws;Archive for Rational Mechanics and Analysis;2016-04-18

5. Convex Entropy, Hopf Bifurcation, and Viscous and Inviscid Shock Stability;Archive for Rational Mechanics and Analysis;2015-01-20
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