Viscous profiles of vortex patches
From MaRDI portal
Publication:2937356
DOI10.1017/S1474748013000285zbMath1309.35058OpenAlexW2319545148MaRDI QIDQ2937356
Publication date: 9 January 2015
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1474748013000285
Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20) Singularity in context of PDEs (35A21) Wave front sets in context of PDEs (35A18) Euler equations (35Q31)
Related Items
Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System ⋮ Regularity of the velocity field for Euler vortex patch evolution ⋮ Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient ⋮ The Inviscid Limit of Navier--Stokes Equations for Vortex-Wave Data on $\mathbb R^2$ ⋮ Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability
Cites Work
- Unnamed Item
- Unnamed Item
- A discrete transform and decompositions of distribution spaces
- Remarques sur l'instabilité du problème des poches de tourbillon. (Remarks on the instability of the vortex patch problem)
- Viscous approach of discontinuous solutions of semilinear symmetric hyperbolic systems
- Remarks about the inviscid limit of the Navier-Stokes system
- A fast adaptive vortex method for patches of constant vorticity in two dimensions
- Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
- Global vortex sheet solutions of Euler equations in the plane
- On the evolution of nearly circular vortex patches
- Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
- Finite time analyticity for the two and three dimensional Kelvin- Helmholtz instability
- The motion of the particles of a two-dimensional ideal incompressible fluid
- Pointwise decay to contact discontinuities for systems of viscous conservation laws
- Vortex patch for the 2D Euler equation inside a bounded domain
- Viscous vortex patches
- Hölderian regularity of the viscous vortex patches.
- Characteristic boundary layers in real vanishing viscosity limits
- Existence and stability of multidimensional shock fronts in the vanishing viscosity limit
- Uniqueness for the two-dimensional Navier-Stokes equation with a measure as initial vorticity
- Global regularity for vortex patches
- Boundary layer and long time stability for multidimensional viscous shocks
- Propagation of oscillations in real vanishing viscosity limit
- Incompressible Euler system and analytic microlocal regularity
- Semilinear boundary layers
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- On 3D domain walls for the Landau Lifshitz equations
- Well-posedness of 3D vortex sheets with surface tension
- Asymptotics and vortex patches for the quasigeostrophic approximation
- Comportement d'un opérateur pseudo-différentiel sur une variété à bord. I: La propriété de transmission, II: Pseudo-noyaux de Poisson
- Boundary problems for pseudo-differential operators
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- Global stability of vortex solutions of the two-dimensional Navier-Stokes equation
- Hölder regularity of the viscous vortex patches. (Régularité höldérienne des poches de tourbillon visqueuses).
- On the local smoothness of solutions of the Navier-Stokes equations
- Vorticity and Incompressible Flow
- Singular integral system approach to regularity of 3D vortex patches
- Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
- Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability
- Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
- Vorticity and the mathematical theory of incompressible fluid flow
- Long time existence for a slightly perturbed vortex sheet
- On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
- The transmission property.
- Evolution temporelle d'une poche de tourbillon singuliere
- Régularité du problème de Kelvin–Helmholtz pour l'équation d'Euler 2d
- On 3-D Vortex Patches in Bounded Domains
- Intrinsic characterizations of Besov spaces on Lipschitz domains
- Multidimensional viscous shocks II: The small viscosity limit
- Extension of range of functions
- Inviscid limit for vortex patches
- Multiscale Approximation of Vortex Patches
- Couches Limites: Un Problème Inverse
- NONLINEAR ASYMPTOTICS FOR HYPERBOLIC INTERNAL WAVES OF SMALL WIDTH
- Mathematical analysis of vortex sheets
- The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.
- Cauchy problems with characteristic initial hypersurface
- The long-time motion of vortex sheets with surface tension
- Contour dynamics for the Euler equations in two dimensions
- Advances in the theory of shock waves
This page was built for publication: Viscous profiles of vortex patches
