Browsing 1 - Oberwolfach Preprints (OWP) by MSC "76"

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Local Existence and Conditional Regularity for the Navier-Stokes-Fourier System Driven by Inhomogeneous Boundary Conditions

[OWP-2024-10] Abbatiello, Anna; Basarić, Danica; Chaudhuri, Nilasis; Feireisl, Eduard (Mathematisches Forschungsinstitut Oberwolfach, 2024-09-25)

We consider the Navier–Stokes–Fourier system with general inhomogeneous Dirichlet–Neumann boundary conditions. We propose a new approach to the local well-posedness problem based on conditional regularity estimates. By ...
Space-Time Euler Discretization Schemes for the Stochastic 2D Navier-Stokes Equations

[OWP-2020-12] Bessaih, Hakima; Millet, Annie (Mathematisches Forschungsinstitut Oberwolfach, 2020-05-06)

We prove that the implicit time Euler scheme coupled with finite elements space discretization for the 2D Navier-Stokes equations on the torus subject to a random perturbation converges in $L^2(\Omega)$ , and describe the ...
A Well-Posedness Result for Viscous Compressible Fluids with Only Bounded Density

[OWP-2018-10] Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius (Mathematisches Forschungsinstitut Oberwolfach, 2018-05-28)

We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible Navier-Stokes equations. Assuming that the initial velocity has slightly sub-critical regularity and ...