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A splitting method for the augmented Burgers equation
(20170701)In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of ﬁrst order. We also analyze the largetime behavior of the approximated solution by obtaining the ﬁrst term in the ... 
A semidiscrete largetime behavior preserving scheme for the augmented Burgers equation
(20170601)In this paper we analyze the largetime behavior of the augmented Burgers equation. We first study the wellposedness of the Cauchy problem and obtain $L^1L^p$ decay rates. The asymptotic behavior of the solution is ... 
Dispersive Properties for Discrete Schrödinger Equations
(20111231)In this paper we prove dispersive estimates for the system formed by two coupled discrete Schrödinger equations. We obtain estimates for the resolvent of the discrete operator and prove that it satisfies the limiting ... 
Solvability via viscosity solutions for a model of phase transitions driven by configurational forces
(20111231)This article is concerned with an initialboundary value problem for an ellipticparabolic coupled system arising in martensitic phase transition theory of elastically deformable solid materials, e.g., steel. This model ... 
The asymptotic behaviour of the heat equation in a twisted DirichletNeumann waveguide
(20111231)We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay ... 
Stationary policies for the second moment stability in a class of stochastic systems
(20111231)This paper presents a study on the uniform second moment stability for a class of stochastic control system. The main result states that the existence of the longrun average cost under a stationary policy is equivalent ... 
Approximation of Hölder continuous homeomorphisms by piecewise affine homeomorphisms
(20111231)This paper is concerned with the problem of approximating a homeomorphism by piecewise affine homeomorphisms. The main result is as follows: every homeomorphism from a planar domain with a polygonal boundary to ℝ2 that is ... 
Interface motion by interface diffusion driven by bulk energy: Justification of a diffusive interface model
(20111231)We construct an asymptotic solution of a system consisting of the partial differential equations of linear elasticity theory coupled with a degenerate parabolic equation, and show that when a regularity parameter tends to ... 
Homogenization of the Neumann problem in perforated domains: An alternative approach
(20111231)The main result of this paper is a compactness theorem for families of functions in the space SBV (Special functions of Bounded Variation) defined on periodically perforated domains. Given an open and bounded set Ω n, and ... 
Low Mach number limit of viscous polytropic fluid flows
(20111231)This paper studies the singular limit of the nonisentropic NavierStokes equations with zero thermal coefficient in a twodimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained ... 
Dispersion for the Schrödinger equation on networks
(20111231)In this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We give an explicit description of the solution of the linear Schrödinger ... 
Compressible primitive equations: Formal derivation and stability of weak solutions
(20111231)We present a formal derivation of compressible primitive equations for atmosphere modelling. They are obtained from the 3D compressible Navier Stokes equations with an anisotropic viscous stress tensor depending on the ... 
Traveling waves to models of solidsolid phase transitions driven by configurational forces
(20111231)We study the existence of traveling/standing waves to models based on configurational forces. These models describe, respectively, structural phase transitions in solids, e.g., Shape memory alloys, and phase transitions ... 
Best constants and Pohozaev identity for hardysobolevtype operators
(20131231)This paper is threefold. Firstly, we reformulate the definition of the norm induced by the Hardy inequality (see [J. L. Vázquez and N. B. Zographopoulos, Functional aspects of the Hardy inequality. Appearance of a hidden ... 
A kinetic scheme for transient mixed flows in non uniform closed pipes: A global manner to upwind all the source terms
(20111231)We present a numerical kinetic scheme for an unsteady mixed pressurized and free surface model. This model has a source term depending on both the space variable and the unknown U of the system. Using the Finite Volume and ... 
Flux identification for 1d scalar conservation laws in the presence of shocks
(20111231)We consider the problem of flux identification for 1d scalar conservation laws formulating it as an optimal control problem. We introduce a new optimization strategy to compute numerical approximations of minimizing fluxes. ... 
Nematic elastomers: Gammalimits for large bodies and small particles
(20111231)We compute the largebody and the smallparticle Gammalimit of a family of energies for nematic elastomers. We work under the assumption of small deformations (linearized kinematics) and consider both compressible and ... 
Wellposedness in critical spaces for the system of compressible NavierStokes in larger spaces
(20111231)This paper is dedicated to the study of viscous compressible barotropic fluids in dimension N≥2. We address the question of wellposedness for large data having critical Besov regularity. Our result improves the analysis ... 
Full characterization of the fractional Poisson process
(20111231)The fractional Poisson process (FPP) is a counting process with independent and identically distributed interevent times following the MittagLeffler distribution. This process is very useful in several fields of applied ... 
Propagation of chaos in a coagulation model
(20131231)The dynamics of a finite system of coalescing particles in a finite volume is considered. It is shown that, in the thermodynamic limit, a coagulation equation is recovered and propagation of chaos holds for all time.