Navier-Stokes regularization of multidimensional Euler shocks

• For λ = 1, the relevant linear system is again the Oseen equation, but the results concerning the decay are limited to small data, since, as for the case n = 3, λ = 0,

On the PALS laser facility, aging of the Iodine active medium of the laser is now the main origin of the variability (contamination comes from glass cells, pumps and

Such a more general form of the solution of the Poisson equations as in MAJDA, A.J- BERTOZZI, A. 2002 §1.9.2 Lemma 1.12 pp 38, and in particular when smooth bounded input

L’accès aux archives de la revue « Rendiconti del Seminario Matematico della Università di Padova » ( http://rendiconti.math.unipd.it/ ) implique l’accord avec les

To recover compactness in space, we will use the regularity of the limit system and extend the method used in [12] to the case of general initial data as was done in [16]..

More precisely, given a curved Lax shock solution u 0 of the corresponding inviscid equations for which (i) each of the associated planar shocks tangent to the shock front possesses

— We proved in Section 2 of [7] a local existence and uniqueness theorem (Theorem 2.2) for solutions of the Navier- Stokes equations with initial data in a space 7-^1 ^2,<5s ^

Numerical analysis of the stability, dissipation and error behaviour in linear filter based stabilization of the Crank−Nicolson method with finite element discretization was performed