Global smooth solutions for the inviscid SQG equation

2016/03/10 by Angel Castro, Diego Córdoba, Castro, Angel +3 · 7 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1603.03325

85 pages, 2 figures, approx. 5.000 lines of code

arxiv created 2021/04/28 · arxiv updated 2021/04/29

Abstract

In this paper, we show the existence of the first non trivial family of classical global solutions of the inviscid surface quasi-geostrophic equation.

Cited by

• A contractible Schiffer counterexample on the half-sphere
• Stationary homogeneous solutions for the inviscid SQG equation
• Homogeneous steady states for the generalized surface quasi-geostrophic equations
• Discovery of Unstable Singularities
• Global Existence, Hamiltonian Conservation and Vanishing Viscosity for the Surface Quasi-Geostrophic Equation
• Electroconvection in a Magnetic Field
• Smooth nonradial stationary solutions to SQG via the half-Yamabe equation

Related

• On the global classical solutions for the generalized SQG equation
• Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations
• Smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation
• Global solutions for the generalized SQG patch equation
• Global Flows with Invariant Measures for the Inviscid Modified SQG\n Equations