The Initial Value Problem for the Navier-Stokes Equations with General Slip Boundary Condition in Hölder Spaces

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations

Natural Sciences, Mechanical Engineering, Differential Equations +10

<i>The Mathematical Theory of Viscous Incompressible Flow</i>

O. A. Ladyzhenskaya, Richard A. Silverman, Jacob T. Schwartz et al. · Physics Today · 1964 · 2.9K citations

Natural Sciences, Mathematics, Physics +12

Estimates for solutions of nonstationary Navier-Stokes equations

V. A. Solonnikov · Journal of Mathematical Sciences · 1977 · 372 citations

Natural Sciences, Mathematics, Differential Equations +11

Solvability in Hölder spaces of a model initial-boundary value problem generated by a problem on the motion of two fluids

V. A. Solonnikov · Journal of Mathematical Sciences · 1994 · 36 citations

Natural Sciences, Mathematics, Differential Equations +13

Solvability of a noncoercive initial-boundary value problem for the Stokes system in Hölder classes of functions (the half-space case) (in Russian)

I. Sh. Mogilevskii, V. A. Solonnikov · Zeitschrift für Analysis und ihre Anwendungen · 1989 · 27 citations · Full text

Natural Sciences, Computational Engineering, Computational Fluid Dynamics +13