History-dependent scalar conservation laws
Hitting properties of a random string.
Hölder-continuous solution for a nonlinear elasticity system.
Homeomorphisms and Fredholm theory for perturbations of nonlinear Fredholm maps of index zero with applications.
Homogénéisation d'équations hyperboliques du premier ordre et application aux écoulements miscibles en milieu poreux
Homogenization and corrector for the wave equation in domains with small holes
Homogenization and uniform stabilization for a nonlinear hyperbolic equation in domains with holes of small capacity.
Homogenization of evolution problems for a composite medium with very small and heavy inclusions
We study the homogenization of parabolic or hyperbolic equations likewhen the coefficients , (defined in ) take possibly high values on a -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.
Homogenization of evolution problems for a composite medium with very small and heavy inclusions
We study the homogenization of parabolic or hyperbolic equations like when the coefficients , (defined in Ω) take possibly high values on a ε-periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.
How parabolic free boundaries approximate hyperbolic fronts.
Huygens' principle
Huygens’ principle and equipartition of energy for the modified wave equation associated to a generalized radial Laplacian
In this paper we consider the modified wave equation associated with a class of radial Laplacians generalizing the radial part of the Laplace-Beltrami operator on hyperbolic spaces or Damek-Ricci spaces. We show that the Huygens’ principle and the equipartition of energy hold if the inverse of the Harish-Chandra -function is a polynomial and that these two properties hold asymptotically otherwise. Similar results were established previously by Branson, Olafsson and Schlichtkrull in the case of...
Huygens' principle on Petrov type N space-times
Huyghens' principle in Riemannian symmetric spaces.
Hybrid central-upwind schemes for numerical resolution of two-phase flows
In this paper we present a methodology for constructing accurate and efficient hybrid central-upwind (HCU) type schemes for the numerical resolution of a two-fluid model commonly used by the nuclear and petroleum industry. Particularly, we propose a method which does not make use of any information about the eigenstructure of the jacobian matrix of the model. The two-fluid model possesses a highly nonlinear pressure law. From the mass conservation equations we develop an evolution equation which...
Hybrid central-upwind schemes for numerical resolution of two-phase flows
In this paper we present a methodology for constructing accurate and efficient hybrid central-upwind (HCU) type schemes for the numerical resolution of a two-fluid model commonly used by the nuclear and petroleum industry. Particularly, we propose a method which does not make use of any information about the eigenstructure of the Jacobian matrix of the model. The two-fluid model possesses a highly nonlinear pressure law. From the mass conservation equations we develop an evolution equation which...
Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems
Hyperbolic boundary value problem with equivalued surface on a domain with thin layer
This paper deals with a kind of hyperbolic boundary value problems with equivalued surface on a domain with thin layer. Existence and uniqueness of solutions are given, and the limit behavior of solutions is studied in this paper.
Hyperbolic Cauchy problem and Leray's residue formula
We give an algebraic description of (wave) fronts that appear in strictly hyperbolic Cauchy problems. A concrete form of a defining function of the wave front issued from the initial algebraic variety is obtained with the aid of Gauss-Manin systems satisfied by Leray's residues.
Hyperbolic differential-operator equations on a whole axis.