Global solutions of a surface quasigeostrophic front equation
From MaRDI portal
Publication:2668144
DOI10.2140/paa.2021.3.403zbMath1486.35346arXiv1808.07631OpenAlexW2888594921MaRDI QIDQ2668144
John K. Hunter, Qingtian Zhang, Jingyang Shu
Publication date: 3 March 2022
Published in: Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.07631
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86)
Related Items
Temperature patches for the subcritical Boussinesq-Navier-Stokes system with no diffusion ⋮ Existence of solutions to fluid equations in Hölder and uniformly local Sobolev spaces ⋮ On the approximation of vorticity fronts by the Burgers–Hilbert equation ⋮ Contour Dynamics and Global Regularity for Periodic Vortex Patches and Layers ⋮ Global solutions of quasi-linear Hamiltonian mKdV equation
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations
- Finite time singularity for the modified SQG patch equation
- Almost sharp fronts for SQG: the limit equations
- Nonlinear fractional Schrödinger equations in one dimension
- Construction of almost-sharp fronts for the Surface Quasi-Geostrophic equation
- Analytic sharp fronts for the surface quasi-geostrophic equation
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- \(L^2\) estimates for Weyl quantization
- Uniformly rotating analytic global patch solutions for active scalars
- On the existence of stationary patches
- On Kato-Ponce and fractional Leibniz
- Global solutions of the gravity-capillary water-wave system in three dimensions
- Local well-posedness of an approximate equation for SQG fronts
- Global regularity for vortex patches
- The Euler-Maxwell system for electrons: global solutions in 2D
- Global solutions for the gravity water waves system in 2d
- On the local existence and blow-up for generalized SQG patches
- Local existence of analytic sharp fronts for singular SQG
- On sharp fronts and almost-sharp fronts for singular SQG
- Global solutions for the generalized SQG patch equation
- Existence and regularity of weak solutions to the quasi-geostrophic equations in the spaces \(L^p\) or \(\dot{H}^{-1/2}\)
- Existence for the \(\alpha \)-patch model and the QG sharp front in Sobolev spaces
- Global Analysis of a Model for Capillary Water Waves in Two Dimensions
- Generalized surface quasi-geostrophic equations with singular velocities
- Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem
- Fourier Analysis and Nonlinear Partial Differential Equations
- The spine of an SQG almost-sharp front
- Uniqueness for SQG patch solutions
- Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
- Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension
- Global Smooth Solutions for the Inviscid SQG Equation
- Global Solutions for 3D Quadratic Schrodinger Equations
- Regularized and approximate equations for sharp fronts in the surface quasi-geostrophic equation and its generalizations
- Global Regularity for 2d Water Waves with Surface Tension
- Scale-invariant singularity of the surface quasigeostrophic patch
- On the evolution of sharp fronts for the quasi‐geostrophic equation
- Singular front formation in a model for quasigeostrophic flow
- A direct approach to nonuniqueness and failure of compactness for the SQG equation
- Contour dynamics for surface quasi-geostrophic fronts
- Nonuniqueness of Weak Solutions to the SQG Equation
- The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution
- Local Regularity for the Modified SQG Patch Equation
- Evidence of singularities for a family of contour dynamics equations
- Almost sharp fronts for the surface quasi-geostrophic equation
- Two dimensional water waves in holomorphic coordinates II: global solutions
- Global solutions for the gravity water waves equation in dimension 3
