Transformations de Laplace sur des sous-variétés de et représentations d’ondes entrantes et sortantes
Transition layer for the heterogeneous Allen–Cahn equation
Transverse evolution operator for the Gross-Pitaevskii equation in semiclassical approximation.
Trapping obstacles with nonhyperbolic periodic ray, asymptotic behaviour of solutions.
Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane.
Traveling wave solutions of Burgers equation for power-law non-Newtonian flows.
Travelling graphs for the forced mean curvature motion in an arbitrary space dimension
We construct travelling wave graphs of the form , , , solutions to the -dimensional forced mean curvature motion () with prescribed asymptotics. For any -homogeneous function , viscosity solution to the eikonal equation , we exhibit a smooth concave solution to the forced mean curvature motion whose asymptotics is driven by . We also describe in terms of a probability measure on .
Travelling Waves in Near-Degenerate Bistable Competition Models
We study a class of bistable reaction-diffusion systems used to model two competing species. Systems in this class possess two uniform stable steady states representing semi-trivial solutions. Principally, we are interested in the case where the ratio of the diffusion coefficients is small, i.e. in the near-degenerate case. First, limiting arguments are presented to relate solutions to such systems to those of the degenerate case where one species...
Travelling waves in the lattice epidemic model.
Two examples of an alternative approach to systems analogous to the heat polynomials
Two problems in homogenization of porous media.
The main goal of this work is to present two different problems arising in Fluid Dynamics of perforated domains or porous media. The first problem concerns the compressible flow of an ideal gas through a porous media and our goal is the mathematical derivation of Darcy's law. This is relevant in oil reservoirs, agriculture, soil infiltration, etc. The second problem deals with the incompressible flow of a fluid reacting with the exterior of many packed solid particles. This is related with absorption...
Über ein System partieller Differentialgleichungen und einen zugehörigen Bergman-Operator.
Über Integraltransformationen, die analytische Funktionen in Lösungen elliptischer Differentialgleichungssysteme überführen
Über lineare partielle Differentialgleichungen zweiter Ordnung mit Bergman-Operatoren der Klasse P.
Über Zusammenhänge zwischen Fundamentalsystemen, Riemann-Funktion und Bergman-Operatoren.
Una classe di soluzioni asintotiche per una equazione ellittica degenere
Une justification de modèles de plaques viscoplastiques
Unicité pour les équations non linéaires du premier ordre
Uniqueness and stability of regional blow-up in a porous-medium equation
Uniqueness and stability properties of monostable pulsating fronts
We prove the uniqueness, up to shifts, of pulsating traveling fronts for reaction-diffusion equations in periodic media with Kolmogorov–Petrovskiĭ–Piskunov type nonlinearities. These results provide in particular a complete classification of all KPP pulsating fronts. Furthermore, in the more general case of monostable nonlinearities, we also derive several global stability properties and convergence to pulsating fronts for solutions of the Cauchy problem with front-like initial data. In particular,...