Well-posedness of a degenernate parabolic equation issuing from two-dimensional perfect fluid dynamics

DOI10.1080/00036810008840859zbMath1162.76339OpenAlexW2001307958WikidataQ58138084 ScholiaQ58138084MaRDI QIDQ2729490

Lionel Rosier, Carole Rosier

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840859

zbMATH Keywords

Degenerate parabolic equationStatistical equilibriumYoudovitch's method

Mathematics Subject Classification ID

Related Items (7)

Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid ⋮ Mathematical Analysis of a Seawater Intrusion Model Including Storativity ⋮ Well-posedness of a degenernate parabolic equation issuing from two-dimensional perfect fluid dynamics ⋮ On the global existence for a degenerate elliptic-parabolic seawater intrusion problem ⋮ On the global existence of solutions for a non-local problem occurring in statistical mechanics ⋮ Numerical analysis for the wave equation with locally nonlinear distributed damping ⋮ Mathematical analysis of a sharp-diffuse interfaces model for seawater intrusion

Cites Work

• A maximum-entropy principle for two-dimensional perfect fluid dynamics
• The modeling of small scales in two-dimensional turbulent flows: A statistical mechanics approach
• Strong solutions in \(L^ 1\) of degenerate parabolic equations
• Well-posedness of a degenernate parabolic equation issuing from two-dimensional perfect fluid dynamics
• Vortex dynamics in a shearing zonal flow
• Statistical equilibrium states for two-dimensional flows
• On the Equations Describing a Relaxation Toward a Statistical Equilibrium State in the Two-Dimensional Perfect Fluid Dynamics
• Finite speed propagation in the relaxation of vortex patches
• Statistical mechanics of Euler equations in two dimensions
• Relaxation towards a statistical equilibrium state in two-dimensional perfect fluid dynamics
• Statistical Equilibrium Computations of Coherent Structures in Turbulent Shear Layers
• Emergence of intense jets and Jupiter's Great Red Spot as maximum-entropy structures

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