[PDF] Top 20 Cauchy problem and exponential stability for the inhomogeneous Landau equation

... is the optimal rate given by the semigroup decay of the associated linearized operator in Theorem ...result and give an overview on the previous works on the Cauchy theory ... Voir le document complet

... of the paper. This paper is organized as follows: in Section 2 we use the ste- reographic projection to reduce matters to the study the initial value problem for the ... Voir le document complet

... well-posedness for the Gross-Pitaevskii equation on the plane for classes of initial data having non zero topological degree at infinity and therefore infinite Ginzburg- ... Voir le document complet

... 1.1. The model. In the present paper, we investigate the Cauchy theory and the asymp- totic behavior of solutions to the spatially inhomogeneous Boltzmann ... Voir le document complet

... investigate the problems of Cauchy theory and exponential stability for the inhomogeneous Boltzmann equation without angular ...with the physical case ... Voir le document complet

... where the limit problem has a different nature from the regularized ...one. For example in [ 18 ], the authors study a mixed Neumann-Robin problem where the small ... Voir le document complet

... time and the standard arguments ...estimates and Sobolev–Bourgain spaces) cannot be applied, at least not straightforwardly, to study the local well-posedness of the initial value ... Voir le document complet

... following the analysis in [ 21 ] with some modi- fications, we can also obtain more general solutions with exponential decay rather than perturbative solutions around monotonic shear ...2). The ... Voir le document complet

... In the classical Schrödinger equation, there are special solutions which are called standing ...] and the references ...solutions and solutions which have precisely one extreme ...kinks ... Voir le document complet

... been the subject of a thorough investigation in the recent ...in the experiments). For c 6= 0, orbital stability was proved via the Grillakis-Shatah-Strauss Theory [ 38 , 39 ] by ... Voir le document complet

... [22] the weak convergence of the corresponding solutions to the Maxwell-Landau-Lifschitz system towards the solutions of some reduced system driven by the magnetization, using ... Voir le document complet

... exponential decay to equilibrium in the Maxwellian molecules case γ = 0, and algebraic decay for hard potentials 0 < γ ≤ ...Later, the first author [8] proved exponential ... Voir le document complet

... to the case ε = ...theory for plasmas and received considerable attention in the past decades, ...cf. for example [ 23 , 24 , 13 , 12 ]. Up to our knowledge, the mathematical ... Voir le document complet

... to the process strongly modifies its behavior between two times s and s + t (where s,t ≥ 0 are fixed) when it is conditioned to not be killed before an arbitrarily large time horizon T > ...not ... Voir le document complet

... avoid the complexity corresponding to the 7 dimensions of the system ...to the Vlasov-Poisson system in the radial coordi- nates (|x|, |v|, |x · ... Voir le document complet

... For the dissipative equations, this non-trapping assumption can be replaced by the same damping condition (geometric control condition) on bounded trajectories as in the compact case (where ... Voir le document complet

... result for the self-similar fragmentation operator L with a su- perquadratic fragmentation rate ...concerning the long-time behaviour of the fragmentation equa- tion ...extend the ... Voir le document complet

... 1 the result of [17] is still valid for piecewise smooth solutions of the problem (1a), (2) with not necessary monotonic initial data f 0 (x) with the property f 0 (x) ∈ (α − , α + ) ∀ ... Voir le document complet

... nonlinearity. The gauge invariance structure of the nonlinearity plays no role, as we only work in Strichartz ...replace the Assumption 2 made on (g n ) n≥1 by any sequence of independent, centred ... Voir le document complet

... 1.2 Exponential decay and Hamiltonian flow: The main purpose of this paper is to investigate the exponential decay of the semigroup associated to ...M and λ > 0 such ... Voir le document complet