Stationary homogeneous solutions for the inviscid SQG equation

2025/10/03 by Pascual-Caballo, Miguel M. G. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.03108

Abstract

In this paper, we prove existence of stationary nontrivial homogeneous solutions for SQG equation with infinite energy (unbounded at the infinity). Our analysis also covers the existence of stationary solutions for generalized De Gregorio equation w_t+αuw_x=u_xw, u_x=Hw with α>(1)/(2).

Citations

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• Global smooth solutions for the inviscid SQG equation
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Cited by

• Homogeneous steady states for the generalized surface quasi-geostrophic equations

Related

• On the existence of stationary patches
• Global smooth solutions for the inviscid SQG equation
• Nonuniqueness of weak solutions to the SQG equation
• On the well-posedness of the inviscid SQG equation
• Homogeneous steady states for the generalized surface quasi-geostrophic equations