Displaying similar documents to “Global existence of solutions for the non linear Boltzmann equation of semiconductor physics.”

Global well-posedness for the primitive equations with less regular initial data

Frédéric Charve (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in H ˙ 1 2 given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter ε is small enough, and for regular initial data (oscillating part in H ˙ 1 2 H ˙ 1 and quasigeostrophic part in H 1 ).

New Results in Velocity Averaging

François Golse (2001-2002)

Séminaire Équations aux dérivées partielles

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This paper discusses two new directions in velocity averaging. One is an improvement of the known velocity averaging results for L 1 functions. The other shows how to adapt some of the ideas of velocity averaging to a situation that is essentially a new formulation of the Vlasov-Maxwell system.