On nonexistence of splash singularities for the \(\alpha\)-SQG patches
From MaRDI portal
Publication:2693732
DOI10.1007/s00332-023-09893-2OpenAlexW4321500118MaRDI QIDQ2693732
Publication date: 24 March 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.13794
Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Finite time singularity for the modified SQG patch equation
- Finite time singularities for the free boundary incompressible Euler equations
- On the finite-time splash and splat singularities for the 3-D free-surface Euler equations
- Small scale creation for solutions of the incompressible two-dimensional Euler equation
- Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation
- Mathematical theory of incompressible nonviscous fluids
- On the local existence and blow-up for generalized SQG patches
- Existence for the \(\alpha \)-patch model and the QG sharp front in Sobolev spaces
- Generalized surface quasi-geostrophic equations with singular velocities
- Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem
- Uniqueness for SQG patch solutions
- Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
- Global regularity for a modified critical dissipative quasi-geostrophic equation
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Growth of solutions for QG and 2D Euler equations
- Scale-invariant singularity of the surface quasigeostrophic patch
- On Squirt Singularities in Hydrodynamics
- On the evolution of sharp fronts for the quasi‐geostrophic equation
- Surface quasi-geostrophic dynamics
- Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation
- Evidence of singularities for a family of contour dynamics equations
- Global regularity and fast small-scale formation for Euler patch equation in a smooth domain