Periodic solutions of the Navier–Stokes equations with inhomogeneous boundary conditions

Solution of the first boundary value problem for the equation of continuity of an incompressible medium

M. E. Bogovskiï · Proceedings of the USSR Academy of Sciences · 1979 · 344 citations

Natural Sciences, Mathematics, Differential Equations +13

On the equations rot v=g and div u=f with zero boundary conditions

Wolfgang Borchers, Hermann Sohr · Hokkaido Mathematical Journal · 1990 · 234 citations · Full text

Natural Sciences, Mathematics, Applied Mechanics +12

Weak solutions of Navier-Stokes equations

Kyûya Masuda · Tohoku Mathematical Journal · 1984 · 233 citations · Full text

Natural Sciences, Physics, Differential Equations +10

The Navier-Stokes equations in the weak- $L^n$ space with time-dependent external force

Masao Yamazaki · Mathematische Annalen · 2000 · 231 citations

Natural Sciences, Mathematics, Physics +11

Generalized resolvent estimates for the Stokes system in bounded and unbounded domains

Reinhard Farwig, Hermann Sohr · Journal of the Mathematical Society of Japan · 1994 · 197 citations · Full text

Engineering, Mechanical Engineering, Aerodynamics +11