Homogenization of Stationary Navier–Stokes Equations in Domains with Tiny Holes

Ordinary differential equations, transport theory and Sobolev spaces

Ronald J. DiPerna, Pierre Louis Lions · Inventiones mathematicae · 1989 · 2K citations

Natural Sciences, Mathematics, Physics +16

On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations

Eduard Feireisl, Antonín Novotný, Hana Petzeltová · Journal of Mathematical Fluid Mechanics · 2001 · 861 citations

Natural Sciences, Mathematics, Physics +14

Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes I. Abstract framework, a volume distribution of holes

Gr�goire Allaire · Archive for Rational Mechanics and Analysis · 1991 · 273 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +14

Solution of Some Vector Analysis Problems connected with Operators div and grad

M. E. Bogovskiï · Medical Entomology and Zoology · 1980 · 166 citations

Natural Sciences, Mathematics, Applied Mathematics +11

Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes

Gr�goire Allaire · Archive for Rational Mechanics and Analysis · 1991 · 156 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +14