Commutator estimates and the euler and navier-stokes equations

DOI10.1002/cpa.3160410704zbMath0671.35066OpenAlexW2079706362MaRDI QIDQ3824789

Gustavo Ponce, Tosio Kato

Publication date: 1988

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160410704

zbMATH Keywords

existenceCauchy problemmultiplication operatorviscositycommutatorslocal solutionsLebesgue spacesNavier-Stokesuniquecontinuous dependenceEuler

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

• Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\)
• Nonselfadjoint Schrödinger operators with singular first-order coefficients