Evolution temporelle d'une poche de tourbillon singuliere
From MaRDI portal
Publication:4346988
DOI10.1080/03605309708821280zbMath0882.35093OpenAlexW1975266390MaRDI QIDQ4346988
Publication date: 1 February 1998
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309708821280
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47)
Related Items (16)
Algebraic spiral solutions of the 2d incompressible Euler equations ⋮ Self-similar 2d Euler solutions with mixed-sign vorticity ⋮ Existence and uniqueness of two dimensional Euler-Poisson system and WKB approximation to the nonlinear Schrödinger-Poisson system ⋮ Viscous profiles of vortex patches ⋮ Singular vortex patches in a fluid of low viscosity ⋮ On the striated regularity for the 2D anisotropic Boussinesq system ⋮ On the Yudovich's type solutions for the 2D Boussinesq system with thermal diffusivity ⋮ Regularity of the velocity field for Euler vortex patch evolution ⋮ Smoothness of the trajectories of ideal fluid particles with Yudovich vorticities in a planar bounded domain ⋮ On singular vortex patches, II: Long-time dynamics ⋮ Global regularity and fast small-scale formation for Euler patch equation in a smooth domain ⋮ Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids ⋮ Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque ⋮ Rigidity aspects of singular patches in stratified flows ⋮ On the inviscid Boussinesq system with rough initial data ⋮ On Singular Vortex Patches, I: Well-posedness Issues
Cites Work
- Remarques sur l'instabilité du problème des poches de tourbillon. (Remarks on the instability of the vortex patch problem)
- Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
- The motion of the particles of a two-dimensional ideal incompressible fluid
- Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations)
- Vorticity and the mathematical theory of incompressible fluid flow
This page was built for publication: Evolution temporelle d'une poche de tourbillon singuliere
