Homeomorphisms and Fredholm theory for perturbations of nonlinear Fredholm maps of index zero with applications.
Homoclinic orbits for a class of infinite dimensional hamiltonian systems
Homoclinic-type solutions for an almost periodic semilinear elliptic equation on
Homogénéisation
Homogénéisation de frontières par épi-convergence en élasticité linéaire
Homogénéisation d'équations hyperboliques du premier ordre et application aux écoulements miscibles en milieu poreux
Homogénéisation des équations de la diffusion stationnaire dans les domaines cylindriques aplatis
Homogénéisation du problème des courants de Foucault dans un transformateur
Homogénéisation et compacité par compensation
Homogénéisation et perturbations dans un problème lié à l'échauffement d'un câble électrique
Homogénéisation variationnelle des équations d’Euler
Homogeneous and isotropic statistical solutions of the Navier-Stokes equations.
Homogeneous Carnot groups related to sets of vector fields
In this paper, we are concerned with the following problem: given a set of smooth vector fields on , we ask whether there exists a homogeneous Carnot group such that is a sub-Laplacian on . We find necessary and sufficient conditions on the given vector fields in order to give a positive answer to the question. Moreover, we explicitly construct the group law i as above, providing direct proofs. Our main tool is a suitable version of the Campbell-Hausdorff formula. Finally, we exhibit several...
Homogeneous Cooling with Repulsive and Attractive Long-Range Potentials
The interplay between dissipation and long-range repulsive/attractive forces in homogeneous, dilute, mono-disperse particle systems is studied. The pseudo-Liouville operator formalism, originally introduced for hard-sphere interactions, is modified such that it provides very good predictions for systems with weak long-range forces at low densities, with the ratio of potential to fluctuation kinetic energy as control parameter. By numerical simulations, ...
Homogeneous estimates for oscillatory integrals.
Homogeneous two-point problem for PDE of the second order in time variable and infinite order in spatial variables
We prove that homogeneous problem for PDE of second order in time variable, and generally infinite order in spatial variables with local two-point conditions with respect to time variable, has only trivial solution in the case when the characteristic determinant of the problem is nonzero. In another, opposite case, we prove the existence of nontrivial solutions of the problem, and we propose a differential-symbol method of constructing them.
Homogeneous variational problems: a minicourse
A Finsler geometry may be understood as a homogeneous variational problem, where the Finsler function is the Lagrangian. The extremals in Finsler geometry are curves, but in more general variational problems we might consider extremal submanifolds of dimension . In this minicourse we discuss these problems from a geometric point of view.
Homogenization and corrector for the wave equation in domains with small holes
Homogenization and correctors for nonlinear elliptic equations
Homogenization and diffusion asymptotics of the linear Boltzmann equation
We investigate the diffusion limit for general conservative Boltzmann equations with oscillating coefficients. Oscillations have a frequency of the same order as the inverse of the mean free path, and the coefficients may depend on both slow and fast variables. Passing to the limit, we are led to an effective drift-diffusion equation. We also describe the diffusive behaviour when the equilibrium function has a non-vanishing flux.