Existence of compressible current-vortex sheets: Variable coefficients linear analysis
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Publication:2571075
DOI10.1007/s00205-005-0364-7zbMath1094.76066OpenAlexW2029330560MaRDI QIDQ2571075
Publication date: 3 November 2005
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-005-0364-7
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Magnetohydrodynamics and electrohydrodynamics (76W05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Compressible fluid flow and systems of conservation laws in several space variables
- Uniqueness of the classical solution of a mixed problem for equations of gas dynamics with boundary conditions on the shock wave
- The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition
- An estimate of the energy integral of a mixed problem for the equations of gasdynamics with boundary conditions on a shock wave
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- On the initial-boundary-value problem for the linearized equations of magnetohydrodynamics
- The trace theorem on anisotropic Sobolev spaces
- A complete 2D stability analysis of fast MHD shocks in an ideal gas
- On a refinement of the regularity theorem for solutions to the characteristic initial boundary value problem for linear symmetric hyperbolic systems
- Some properties of anisotropic Sobolev spaces
- Well-posedness of characteristic symmetric hyperbolic systems
- An initial boundary value problem in ideal magneto-hydrodynamics
- The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity
- Non-linear wave propagation with applications to physics and magnetohydrodynamics
- Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
- Local boundary conditions for dissipative symmetric linear differential operators
- Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
- The existence of multidimensional shock fronts
- The stability of magnetohydrodynamic tangential discontinuities
- NOTE ON A PROBLEM OF MAGNETOHYDRODYNAMIC STABILITY
- Conservation equations and the laws of motion in classical physics
- Stability of Strong Discontinuities in Fluids and MHD
- On the transition to instability for compressible vortex sheets
- The stability of multidimensional shock fronts
- Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
- Weak Stability of Nonuniformly Stable Multidimensional Shocks
- Generic types and transitions in hyperbolic initial–boundary-value problems
- The stability of compressible vortex sheets in two space dimensions
- On an initial boundary value problem for the equations of ideal magneto‐hydrodynamics
- Linear symmetric hyperbolic systems with characteristic boundary
- THE TRACE THEOREMS IN ANISOTROPIC SOBOLEV SPACES AND THEIR APPLICATIONS TO THE CHARACTERISTIC INITIAL BOUNDARY VALUE PROBLEM FOR SYMMETRIC HYPERBOLIC SYSTEMS
- Initial boundary value problems for hyperbolic systems
- On the stability of a plane vortex sheet with respect to three-dimensional disturbances
- Hydromagnetic Stability at a Fluid Velocity Discontinuity between Compressible Fluids
- Effect of Compressibility on Kelvin-Helmholtz Instability in a Plasma
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