Stability of Compressible Vortex Sheets in Steady Supersonic Euler Flows over Lipschitz Walls

DOI10.1137/050642976zbMath1129.35013OpenAlexW2091954343WikidataQ57386482 ScholiaQ57386482MaRDI QIDQ3593058

Dianwen Zhu, Yongqian Zhang, Gui-Qiang G. Chen

Publication date: 24 September 2007

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cdeca94b0a0f2baccc52bfcf0218d9f7cf1130b2

zbMATH Keywords

global existence nonlinear interaction Glimm scheme Riemann solutions BV boundary perturbation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (15)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows ⋮ Stability of contact discontinuities to 1-D piston problem for the compressible Euler equations ⋮ \( L^1 \)-stability of vortex sheets and entropy waves in steady supersonic Euler flows over Lipschitz walls ⋮ Stability of contact discontinuities in three-dimensional compressible steady flows ⋮ Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle ⋮ Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall ⋮ Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles ⋮ Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows ⋮ Non-relativistic limits and stability of composite wave patterns to the relativistic Euler equations ⋮ Stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow ⋮ Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows

This page was built for publication: Stability of Compressible Vortex Sheets in Steady Supersonic Euler Flows over Lipschitz Walls