Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD

DOI10.1007/s00033-018-1063-1OpenAlexW2897344325WikidataQ128699985 ScholiaQ128699985MaRDI QIDQ667754

Lizhi Ruan, Yu. L. Trakhinin

Publication date: 1 March 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07073

zbMATH Keywords

shock wavessymmetric hyperbolic systemlocal-in-time existencecharacteristic discontinuitiesinviscid two-fluid magnetohydrodynamic flows

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Multiphase and multicomponent flows (76T99) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) First-order hyperbolic systems (35L40)

Related Items (3)

Large time behavior of global strong solutions to a two-phase model with a magnetic field ⋮ Vanishing resistivity limit of one-dimensional two-phase model with magnetic field ⋮ On the low Mach number limit of a two-fluid model with magnetic field and ill-prepared initial data in bounded domain

Cites Work

• Unnamed Item
• Unnamed Item
• Rectilinear vortex sheets of inviscid liquid-gas two-phase flow: linear stability
• Global well-posedness and large time behavior of classical solutions to the Vlasov-Fokker-Planck and magnetohydrodynamics equations
• The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Stability of plane MHD shock waves in an ideal gas
• A complete 2D stability analysis of fast MHD shocks in an ideal gas
• Global well-posedness and decay estimates of strong solutions to a two-phase model with magnetic field
• Global weak solution to the viscous two-fluid model with finite energy
• Local existence of MHD contact discontinuities
• Hyperbolic boundary value problems for symmetric systems with variable multiplicities
• Stabilization effect of magnetic fields on two-dimensional compressible current-vortex sheets
• Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results
• Well-posedness of the linearized problem for MHD contact discontinuities
• Nonlinear stability and existence of vortex sheets for inviscid liquid-gas two-phase flow
• Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
• Existence of compressible current-vortex sheets: Variable coefficients linear analysis
• Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws
• Hyperbolic systems of conservation laws II
• Structural conditions for full MHD equations
• The existence of multidimensional shock fronts
• Stability of Strong Discontinuities in Fluids and MHD
• The stability of multidimensional shock fronts
• Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model
• ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS

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