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Well-posedness of the Euler and Navier-Stokes equations in the Lebesque spaces Lsp(R2).

Tosio Kato, Gustavo Ponce (1986)

Revista Matemática Iberoamericana

In this paper we show that the Euler equation for incompressible fluids in R2 is well posed in the (vector-valued) Lebesgue spacesLsp = (1 - ∆)-s/2 Lp(R2) with s > 1 + 2/p, 1 < p < ∞and that the same is true of the Navier-Stokes equation uniformly in the viscosity ν.

Weyl formula with optimal remainder estimate of some elastic networks and applications

Kaïs Ammari, Mouez Dimassi (2010)

Bulletin de la Société Mathématique de France

We consider a network of vibrating elastic strings and Euler-Bernoulli beams. Using a generalized Poisson formula and some Tauberian theorem, we give a Weyl formula with optimal remainder estimate. As a consequence we prove some observability and stabilization results.

Displaying 41 – 45 of 45

Well-posedness of the Euler and Navier-Stokes equations in the Lebesque spaces Lsp(R2).

Weyl formula with optimal remainder estimate of some elastic networks and applications

Whitney elements on pyramids.

Wigner series and (semi)classical limits with periodic potentials

WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity

Currently displaying 41 – 45 of 45