THE NAVIER-STOKES EQUATIONS WITH INITIAL VALUES IN BESOV SPACES OF TYPE B -1+3/q q, ∞

DOI10.4134/JKMS.j160529zbMath1390.35229OpenAlexW3045811477MaRDI QIDQ4609962

Pen-Yuan Hsu, Yoshikazu Giga, Reinhard Farwig

Publication date: 27 March 2018

Full work available at URL: http://koreascience.or.kr:80/article/JAKO201725864427066.pdf

zbMATH Keywords

initial valueslocal strong solutionsinstationary Navier-Stokes systemlimiting type of Besov spaceweighted Serrin conditionrestricted Serrin's uniquenesss theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (8)

About local continuity with respect to \(L_2\) initial data for energy solutions of the Navier-Stokes equations ⋮ Jean Leray: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 63 (1934), 193--248 ⋮ Global in time solvability of the Navier-Stokes equations in the half-space ⋮ Localised necessary conditions for singularity formation in the Navier-Stokes equations with curved boundary ⋮ Navier-Stokes equations: a new estimate of a possible gap related to the energy equality of a suitable weak solution ⋮ Global well-posedness of the half space problem of the Navier-Stokes equations in critical function spaces of limiting case ⋮ Strong solutions of the Navier-Stokes equations with singular data ⋮ On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces

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