Transparent potentials and hamiltonian systems
Transport dans les milieux composites fortement contrastés : le modèle du billard
Transport Equation Reduction for a Mathematical Model in Plant Growth
In this article a variational reduction method, how to handle the case of heterogenous domains for the Transport equation, is presented. This method allows to get rid of the restrictions on the size of time steps due to the thin parts of the domain. In the thin part of the domain, only a differential problem, with respect to the space variable, is to be approximated numerically. Numerical results are presented with a simple example. The variational...
Transport equations in cell population dynamics. I.
Transport equations in cell population dynamics. II.
Transverse evolution operator for the Gross-Pitaevskii equation in semiclassical approximation.
Transverse nonlinear instability for two-dimensional dispersive models
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.
Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
Travelling wave analysis of an isothermal Euler-Poisson model
Travelling wave solutions for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations which describe pseudospherical surfaces.
Travelling wave solutions for the Painlevé-integrable coupled KdV equations.
Travelling wave solutions to some PDEs of mathematical physics.
Travelling waves for a neural network.
Travelling waves for the Gross-Pitaevskii equation I
Travelling Waves in Partially Degenerate Reaction-Diffusion Systems
We study the existence and some properties of travelling waves in partially degenerate reaction-diffusion systems. Such systems may for example describe intracellular calcium dynamics in the presence of immobile buffers. In order to prove the wave existence, we first consider the non degenerate case and then pass to the limit as some of the diffusion coefficient converge to zero. The passage to the limit is based on a priori estimates of solutions independent of the values of the diffusion coefficients....
Tree algebras: An algebraic axiomatization of intertwining vertex operators
We describe a completely algebraic axiom system for intertwining operators of vertex algebra modules, using algebraic flat connections, thus formulating the concept of a tree algebra. Using the Riemann-Hilbert correspondence, we further prove that a vertex tensor category in the sense of Huang and Lepowsky gives rise to a tree algebra over . We also show that the chiral WZW model of a simply connected simple compact Lie group gives rise to a tree algebra over .
Treibich-Verdier potentials and the stationary (m)KDV hierarchy.
Trudinger–Moser inequality on the whole plane with the exact growth condition
Trudinger-Moser inequality is a substitute to the (forbidden) critical Sobolev embedding, namely the case where the scaling corresponds to . It is well known that the original form of the inequality with the sharp exponent (proved by Moser) fails on the whole plane, but a few modied versions are available. We prove a precised version of the latter, giving necessary and sufficient conditions for the boundedness, as well as for the compactness, in terms of the growth and decay of the nonlinear function....