The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier-Stokes equations

DOI10.1007/BF01109732zbMath0388.35059MaRDI QIDQ1250572

Vsevolod A. Solonnikov

Publication date: 1978

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Related Items (9)

On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions ⋮ Unsteady motion of a finite mass of fluid, bounded by a free surface ⋮ Small-time existence for the Navier-Stokes equations with a free surface ⋮ Un problème de Navier-Stokes avec surface libre et tension superficielle ⋮ Reduction of the fundamental initial-boundary-value problems for Stokes equations to initial-boundary-value problems for parabolic systems of pseudo-differential equations ⋮ Numerical simulation of two-phase free surface flows ⋮ Power series solutions to basic stationary boundary value problems of elasticity ⋮ Local existence theorems for the first and second initial-boundary value problems for a weakly non-Newtonian fluid ⋮ Large-time regularity of viscous surface waves

Cites Work

• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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