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math.APApr 30, 2019
5
citations (OpenAlex)
authors
  • Matthew Novack
  • Alexis Vasseur
institutions
  • Courant Institute of Mathematical Sciences
  • New York University
  • The University of Texas at Austin
arXiv abstractPDF
paper

Classical Solutions for the 3D Quasi-Geostrophic System on a Bounded Domain

arXiv:1904.13050 · doi:10.1016/j.physd.2020.132362

Abstract

We revisit a model for three-dimensional, inviscid quasi-geostrophic flow on bounded, cylindrical domains introduced by the authors in \cite{nv18}. We prove the local-in-time existence of classical solutions.

References in corpus (8)

  • Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
  • Local and global strong solutions for SQG in bounded domains
  • Global weak solutions for generalized SQG in bounded domains
  • Global in Time Classical Solutions to the 3D Quasi-geostrophic System for Large Initial Data
  • Global weak solutions to the inviscid 3D Quasi-Geostrophic equation
  • Non-uniqueness of Weak Solutions to the 3D Quasi-Geostrophic Equations
  • On the Weak Solutions to the 3D Inviscid Quasi-Geostrophic System
  • The Inviscid 3D Quasi-Geostrophic System on Bounded Domains

Cited by in corpus (2)

  • Non-uniqueness of Weak Solutions to the 3D Quasi-Geostrophic Equations
  • The Inviscid 3D Quasi-Geostrophic System on Bounded Domains
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