Anisotropic regularity of linearized compressible vortex sheets

DOI10.1142/S0219891620500113zbMath1451.35139arXiv2008.05956WikidataQ115245199 ScholiaQ115245199MaRDI QIDQ3387938

Paolo Secchi

Publication date: 8 January 2021

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.05956

zbMATH Keywords

linear stabilitycontact discontinuityvortex sheetcompressible Euler equationsloss of derivativesweak stability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Interfacial stability and instability in hydrodynamic stability (76E17) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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• Mathematical theory of incompressible nonviscous fluids
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• Nonlinear compressible vortex sheets in two space dimensions
• Nonlinear Stability of the Current‐Vortex Sheet to the Incompressible MHD Equations
• The stability of compressible vortex sheets in two space dimensions
• On the evolution equation of compressible vortex sheets
• On the stability of a plane vortex sheet with respect to three-dimensional disturbances

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