Convergence of a Brinkman-type penalization for compressible fluid flows

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

A penalization method to take into account obstacles in incompressible viscous flows

Philippe Angot, Charles‐Henri Bruneau, Pierre Fabrie · Numerische Mathematik · 1999 · 813 citations

Natural Sciences, Computational Engineering, Mechanical Engineering +11

Transport equation and Cauchy problem for BV vector fields

Luigi Ambrosio · Inventiones mathematicae · 2004 · 631 citations

Natural Sciences, Physics, Differential Equations +13

A Brinkman penalization method for compressible flows in complex geometries

Qianlong Liu, Oleg V. Vasilyev · Journal of Computational Physics · 2007 · 224 citations

Engineering, Mechanical Engineering, Physics +12