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  1. Journal of Mathematical Fluid Mechanics
  2. Journal of Mathematical Fluid Mechanics : Volume 7
  3. Journal of Mathematical Fluid Mechanics : Volume 7, Issue 2, Supplement,May 2005
  4. On Compressible Vortex Sheets
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Journal of Mathematical Fluid Mechanics : Volume 19
Journal of Mathematical Fluid Mechanics : Volume 18
Journal of Mathematical Fluid Mechanics : Volume 17
Journal of Mathematical Fluid Mechanics : Volume 16
Journal of Mathematical Fluid Mechanics : Volume 15
Journal of Mathematical Fluid Mechanics : Volume 14
Journal of Mathematical Fluid Mechanics : Volume 13
Journal of Mathematical Fluid Mechanics : Volume 12
Journal of Mathematical Fluid Mechanics : Volume 11
Journal of Mathematical Fluid Mechanics : Volume 10
Journal of Mathematical Fluid Mechanics : Volume 9
Journal of Mathematical Fluid Mechanics : Volume 8
Journal of Mathematical Fluid Mechanics : Volume 7
Journal of Mathematical Fluid Mechanics : Volume 7, Issue 4, November 2005
Journal of Mathematical Fluid Mechanics : Volume 7, Issue 3, Supplement,August 2005
Journal of Mathematical Fluid Mechanics : Volume 7, Issue 3, August 2005
Journal of Mathematical Fluid Mechanics : Volume 7, Issue 2, Supplement,May 2005
Preface
The Role of Abstract Numerical Properties in the Change of Character of Reactive Flows
On the Large Eddy Simulation of the Taylor–Green vortex
Superconvergence of Piecewise Linear Semi-Discretizations for Parabolic Equations with Nonuniform Triangulations
The Relation Between Flow Rate and Axial Pressure Gradient for Time-Periodic Poiseuille Flow in a Pipe
Optimal Convergence Rates to Diffusion Waves for Solutions of the Hyperbolic Conservation Laws with Damping
Cauchy Problem for Diagonalized System of Nonlinear Hyperbolic Equations of First Order
Journal of Mathematical Fluid Mechanics
On Compressible Vortex Sheets
Existence Results for Steady Flows of Quasi-Newtonian Fluids Using Weak Monotonicity
Traveling Waves in Neural Models
Journal of Mathematical Fluid Mechanics : Volume 7, Issue 2, May 2005
Journal of Mathematical Fluid Mechanics : Volume 7, Issue 1, Supplement,March 2005
Journal of Mathematical Fluid Mechanics : Volume 7, Issue 1, March 2005
Journal of Mathematical Fluid Mechanics : Volume 6
Journal of Mathematical Fluid Mechanics : Volume 5
Journal of Mathematical Fluid Mechanics : Volume 4
Journal of Mathematical Fluid Mechanics : Volume 3
Journal of Mathematical Fluid Mechanics : Volume 2
Journal of Mathematical Fluid Mechanics : Volume 1

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On Compressible Vortex Sheets

Content Provider SpringerLink
Author Secchi, Paolo
Copyright Year 2005
Abstract We introduce the main known results of the theory of incompressible and compressible vortex sheets. Moreover, we present recent results obtained by the author with J. F. Coulombel about supersonic compressible vortex sheets in two space dimensions. The problem is a nonlinear free boundary hyperbolic problem with two difficulties: the free boundary is characteristic and the Lopatinski condition holds only in a weak sense, yielding losses of derivatives. Under a supersonic condition that precludes violent instabilities, we prove an energy estimate for the boundary value problem obtained by linearization around an unsteady piecewise solution.
Ending Page S272
Starting Page S254
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 2
Volume Number 7
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2005-01-01
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword energy estimates Initial-boundary value problems for first-order hyperbolic systems Mechanics, Fluids, Thermodynamics Vortex sheets compressible fluids Mathematical Methods in Physics Fluids PDEs in connection with fluid mechanics symmetrizers Interfacial stability and instability stability Existence, uniqueness, and regularity theory
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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