Remarks on shear flows of the Euler equations

DOI10.1007/s00028-014-0225-7zbMath1300.35086OpenAlexW1985506792MaRDI QIDQ742224

Okihiro Sawada

Publication date: 18 September 2014

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-014-0225-7

zbMATH Keywords

Euler equationsstrong solutionrenormalization solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Renormalization and other field-theoretical methods for turbulence (76F30) Euler equations (35Q31)

Cites Work

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• On the analyticity and the almost periodicity of the solution to the Euler equations with non-decaying initial velocity
• Weak solutions to the incompressible Euler equations with vortex sheet initial data
• Loss of smoothness and energy conserving rough weak solutions for the \(3d\) Euler equations
• Local existence and blow-up criterion for the Euler equations in Besov spaces of weak type
• Propagation de l'analyticité locale pour les solutions de l'équation d'Euler. (Propagation of local analyticity for the solutions of the Euler equation)
• Hydrodynamics in Besov spaces
• A remark on the Navier-Stokes flow with bounded initial data having a special structure
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Vorticity and Incompressible Flow
• On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations
• Existence of Solution for the Euler Equations in a Critical Besov Space (ℝⁿ)
• On the radius of analyticity of solutions to the three-dimensional Euler equations
• Commutator estimates and the euler and navier-stokes equations

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