On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable

By Eduard Feireisl. 2001

187 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e1096fdcad8aff3fa5f4a44db840b364ab7d6a60

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Homogenization of the compressible Navier–Stokes equations in a porous medium (2002, background): “The fourth term is the most technical and requires some spatial regularization of v (see for instance [9]).”
On the flow of chemically reacting gaseous mixture (2012, background): “Later on, his ideas were extended by Feireisl to handle the case when the density is not square integrable [11].”
The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations (2006, result): “The proof is completely similar to those of Lions (1998), Feireisl et al. (2001), Feireisl (2001), and Ducomet et al. (2001).”
The Equations of Magnetohydrodynamics: On the Interaction Between Matter and Radiation in the Evolution of Gaseous Stars (2006, background): “In order to solve this problem, a concept of oscillations defect measure was introduced in [ 17 ].”
On the domain dependence of solutions to the compressible Navier–Stokes equations of a barotropic fluid (2002, unknown): “Following the idea of [16] we consider the defect measure oscp(Q)[%n − %]= sup k¿1 ( lim sup n→∞ ‖Tk(%n)− Tk(%)‖Lp(Q) )”
On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations (2001, background): “At this final stage, we follow the line of arguments of [7].”
GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS (2007, background): “It shows the existence of weak solutions under only physical assumptions for the initial data (finite mass and energy), and when γ > 9/5 (in dimension 3).”