Compressible Navier–Stokes Equations with a Non-Monotone Pressure Law

123 citations recorded by the source corpus.

How researchers see this paper

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

Global existence of weak solutions for compressible Navier--Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor (2015, methodology): “Feireisl [34] where the hypothesis imposed on the pressure P imply that P (z) = r3(z)− r4(z) where r3 is non-decreasing in [0,+∞) with r4 ∈ C2([0,+∞)) satisfying r4 ≥ 0 and r4(z) ≡ 0 when z ≥ Z for a certain Z ≥ 0.”
Compressible Flow in a Half-Space with Navier Boundary Conditions (2005, methodology): “On the other hand, our solutions are somewhat more regular than those of the large-weak theories of Lions [10] or Feireisl [6]–[7] in which size restrictions are eliminated altogether, but certain restrictions are imposed on P .”
Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows (2009, unknown): “Similarly to [8], our approach also works for the general barotropic flow: p(ρ) = aρ + z(ρ), lim ρ→∞ z(ρ) ργ ∈ [0,∞), where a > 0, γ > 3 2 .”
On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities (2006, background): “Then Lions’ theory has been improved by several authors to deduce more general results; see [7, 8, 9, 10, 14, 15] for details.”