[PDF] Top 20 Stability and asymptotic behaviour of solutions of the heat equation

... much the referee for the valuable remarks and suggestions which greatly improve the clarity and the presentation of the ...on the blow up and ... Voir le document complet

... harmonic solutions of wave propagation problems is the limiting absorption principle; this aims to characterize the physical solution as the limit, when it exists, of the ... Voir le document complet

... study of the oscillatory behavior of the solutions of hyperbolic dierential equations of neutral type had an increasing interest these last ...that the rst ... Voir le document complet

... . The solutions of Theorem ...construct the Lipschitz manifold as in [6, 33, 28, 17]. 3. The flow near the ground ...state. The question of the ... Voir le document complet

... revisit the construction of radially symmetric self similar solutions per- formed through an ode approach in [51], [2], and propose a bifurcation type argument suggested in [3] which allows ... Voir le document complet

... corollaries of the Datko-Pazy theorem [25, Theorem ...form of decay in B(W s,p (R))-norm for (S(t)) t∈R . In short, in the former paragraph we have recalled why for situations similar to those ... Voir le document complet

... Soffer and Weinstein studied the asymptotic stability of ground states for the nonlinear Schrödinger equation with a potential in a regime for which the nonlinear ... Voir le document complet

... shows the stable behaviors detected by Theorem 1 with N = 0, with a quite fast convergence to the ...equilibrium. The illustration of the second case Figure 2(b) is consistent with ... Voir le document complet

... called the black soliton. In dimension one, the Gross-Pitaevskii equation is integrable by means of the inverse scattering method ...description of the long-time dynamics, ... Voir le document complet

... generalize the methodology sketched above to the path-dependent ...in the path-dependent ...approximation of v itself starting from its probabilistic representation ...exploit the ... Voir le document complet

... 2.a and 2.b that the system is unstable for γ = 1 and ...1.048, the solution of the system is oscillating, allowing us to think that it is the minimal value of γ ... Voir le document complet

... Abstract. The Webster-Lokshin equation is a partial differential equation considered in this ...models the sound velocity in an acoustic domain. The dynamics contains linear fractional ... Voir le document complet

... At the end of nineteenth century, Nernst and Planck introduced a sys- tem of equations for representing the evolution of charged particles sub- ject to electrostatic ...forces. ... Voir le document complet

... publication and for a useful e-mail discussion, to my stu- dent Alexei Zykin for many fruitful discussions and for computer verification of my calculations, and to Don Zagier for several ... Voir le document complet

... in the sense that a fixed fraction of these points are located on the boundary ...experiments. The rest of this paper is organized as follow: we give a brief account in §2 on ... Voir le document complet

... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ... Voir le document complet

... University of Basel Library, on 11 Jul 2017 at 11:51:02, subject to the Cambridge Core terms of use, available at https:/www.cambridge.org/core/terms... The linear operator Lb [u] gives [r] ... Voir le document complet

... 101 - 54602 Villers lès Nancy Cedex France Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex France Unité de recherche INRIA Rhône-Alpes : 65[r] ... Voir le document complet

... type of systems may be studied in the context of control of engineering ...Indeed, the damping term −a(x)σ(z t ) corresponds in this case to a feedback law and the ... Voir le document complet

... These results were confirmed by the fluorescence analyses. The emission maximum observed at 342 nm corresponds to the maximal unfolding of the heated molecule. Thus, the refolding of cer[r] ... Voir le document complet