4 papers
Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness
Timothée Crin-Barat, Nicola De Nitti, Stefan Škondrić +1
We characterize the Leray--Hopf solutions of the 2D inhomogeneous Navier--Stokes system that become strong for positive times. This characterization relies on the strong energy ine…
Relative Energy Method For Weak-Strong Uniqueness Of The Inhomogeneous Navier-Stokes Equations
Timothée Crin-Barat, Stefan Škondrić, Alessandro Violini
We present a weak-strong uniqueness result for the inhomogeneous Navier-Stokes (INS) equations in () for bounded initial densities that are far from vacuum. G…
Asymptotic-preserving finite difference method for partially dissipative hyperbolic systems
Timothée Crin-Barat, Dragoş Manea
In this paper, we analyze the preservation of asymptotic properties of partially dissipative hyperbolic systems when switching to a discrete setting. We prove that one of the simpl…
The Cattaneo-Christov approximation of Fourier heat-conductive compressible fluids
Timothée Crin-Barat, Shuichi Kawashima, Jiang Xu
We investigate the Navier-Stokes-Cattaneo-Christov (NSC) system in (), a model of heat-conductive compressible flows serving as a finite speed of propagation…