Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics
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Publication:777342
DOI10.1007/s00033-020-01344-2zbMath1442.76154arXiv1911.06295OpenAlexW3104628480MaRDI QIDQ777342
Publication date: 7 July 2020
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06295
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Initial value problems for first-order hyperbolic systems (35L45)
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Incompressible limit of nonisentropic Hookean elastodynamics ⋮ Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics ⋮ An initial-boundary value problem for the one-dimensional rotating shallow water magnetohydrodynamic equations ⋮ Asymptotic shallow models arising in magnetohydrodynamics ⋮ Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates
Cites Work
- Unnamed Item
- Compressible fluid flow and systems of conservation laws in several space variables
- Stability of incompressible current-vortex sheets
- The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
- Fluid dynamics of viscoelastic liquids
- Well-posedness of the free boundary problem in compressible elastodynamics
- Two-dimensional vortex sheets for the nonisentropic Euler equations: nonlinear stability
- Local existence of MHD contact discontinuities
- Hyperbolic boundary value problems for symmetric systems with variable multiplicities
- Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics
- Structural stability of shock waves in 2D compressible elastodynamics
- An introduction to continuum mechanics
- Linear stability of compressible vortex sheets in 2D elastodynamics: variable coefficients
- Linear stability of compressible vortex sheets in two-dimensional elastodynamics
- Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
- Existence of compressible current-vortex sheets: Variable coefficients linear analysis
- Shear flow instabilities in shallow-water magnetohydrodynamics
- Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws
- Hyperbolic systems of conservation laws II
- Stability of Strong Discontinuities in Fluids and MHD
- Dissipative Symmetrizers of Hyperbolic Problems and Their Applications to Shock Waves and Characteristic Discontinuities
- TWO-DIMENSIONAL VORTEX SHEETS FOR THE NONISENTROPIC EULER EQUATIONS: LINEAR STABILITY
- Initial boundary value problems for hyperbolic systems
- Hyperbolic Conservation Laws in Continuum Physics