Existence of multi-dimensional infinite volume self-organized critical forest-fire models.
Existence of solutions for a model of self-gravitating particles with external potential
We study the existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential. The initial data are in spaces of (generalized) pseudomeasures. We prove existence of local and global-in-time solutions, and also a kind of stability of global solutions.
Existence of solutions to a phase-field model with phase-dependent heat absorption.
Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation.
Existence theorems for the initial value problem for the Bogolyubov chain of equations in the space of sequences of bounded functions.
Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process
We study a free energy computation procedure, introduced in [Darve and Pohorille, J. Chem. Phys.115 (2001) 9169–9183; Hénin and Chipot, J. Chem. Phys.121 (2004) 2904–2914], which relies on the long-time behavior of a nonlinear stochastic differential equation. This nonlinearity comes from a conditional expectation computed with respect to one coordinate of the solution. The long-time convergence of the solutions to this equation has been proved in [Lelièvre et al., Nonlinearity21 (2008) 1155–1181],...
Existence, uniqueness and stability for spatially inhomogeneous Becker-Döring equations with diffusion and convection terms
We consider the spatially inhomogeneous Bekker-Döring infinite-dimensional kinetic system describing the evolution of coagulating and fragmenting particles under the influence of convection and diffusion. The simultaneous consideration of opposite coagulating and fragmenting processes causes many additional difficulties in the investigation of spatially inhomogeneous problems, where the space variable changes differently for distinct particle sizes. To overcome these difficulties, we use a modified...
Expansion for the Lyapunov exponent of the one-dimensional Anderson model at low disorder.
Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials.
This paper deals with explicit spectral gap estimates for the linearized Boltzmann operator with hard potentials (and hard spheres). We prove that it can be reduced to the Maxwellian case, for which explicit estimates are already known. Such a method is constructive, does not rely on Weyl's Theorem and thus does not require Grad's splitting. The more physical idea of the proof is to use geometrical properties of the whole collision operator. In a second part, we use the fact that the Landau operator...
Exploring the interplay between virology and molecular crystallography.
Exponential decay of averaged Green functions for random Schrödinger operators. A direct approach
Exponential waiting time for filling a large interval in the symmetric simple exclusion process
Extendability of equilibria of nematic polymers.
Extended thermodynamics of ideal gases with 14 fields