On the convergence rate of spectral approximation for the equations for nonhomogeneous asymmetric fluids

(2010) [2] we show that, in the case of periodic boundary conditions and for arbitrary space dimension d 2, there exist infinitely many global weak solutions to the

Keywords: Navier–Stokes equations; Uniqueness; Weak solution; Fourier localization; Losing derivative estimates.. In three dimensions, however, the question of regularity and

Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids.. Helmut Abels a, ∗ , Matthias

Coron (see [Sur la stabilisation des fluides parfaits incompressibles bidimensionnels, in: Séminaire Équations aux Dérivées Partielles, École Polytechnique, Centre de

S TEINHAUER , On analysis of steady flows of fluids with shear-dependent viscosity based on the Lipschitz truncation method, SIAM J.. F UCHS , On stationary incompressible Norton

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Under certain weak continuity hypothesis we shall obtain spectral representations of the abstract solutions of (1) and (S ) and of the generalized forms of (1) and

General results have been obtained earlier by Krylov for finite difference schemes in the stationary case with constant coefficients and in the time-dependent case with