Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces $L^ p_ s({\mathbb{R}}^ 2)$

DOI10.4171/RMI/26zbMath0615.35078OpenAlexW1976512063MaRDI QIDQ1820936

Publication date: 1987

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39302

zbMATH Keywords

diffeomorphism existence uniqueness Banach algebra well-posedness Euler equations persistence Volterra integral equation evolution operator pseudo-differential operator Lebesgue spaces incompressible fluids vorticity equation equicontinuity Navier-Stokes fluid dynamical equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Applications of manifolds of mappings to the sciences (58D30) Miscellaneous applications of functional analysis (46N99) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

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Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\)