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5 papers · 2 filters
Probabilistic well-posedness for supercritical wave equation on
Chenmin Sun, Bo Xia
In this article, we follow the strategies, listed in \cite{Burq2011} and \cite{OhPo}, in dealing with supercritical cubic and quintic wave equations, we obtain that, the equation \…
Collision of almost parallel vortex filaments
Valeria Banica, Erwan Faou, Evelyne Miot
We investigate the occurrence of collisions in the evolution of vortex filaments through a system introduced by Klein, Majda and Damodaran [KMD95] and Zakharov [Z88,Z99]. We first…
Non uniform stability for the Timoshenko beam with tip load
Denis Mercier, Virginie Régnier
In this paper we consider a hybrid elastic model consisting of a Timoshenko beam and a tip load at the free end of the beam. Under the equal speed wave propagation condition, we sh…
Small data solutions of the Vlasov-Poisson system and the vector field method
Jacques Smulevici
The aim of this article is to demonstrate how the vector field method of Klainerman can be adapted to the study of transport equations. After an illustration of the method for the…
Mathematical existence results for the Doi-Edwards polymer model
Laurent Chupin
In this paper, we present some mathematical results on the Doi-Edwards model describing the dynamics of flexible polymers in melts and concentrated solutions. This model, developed…