• A splitting method for the augmented Burgers equation 

  Ignat, L.I.; Pozo, A. (2017-07-01)

  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 large-time behavior of the approximated solution by obtaining the first term in the ...

• A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation 

  Ignat, L.I.; Pozo, A. (2017-06-01)

  In this paper we analyze the large-time behavior of the augmented Burgers equation. We first study the well-posedness of the Cauchy problem and obtain $L^1-L^p$ decay rates. The asymptotic behavior of the solution is ...

• Regularity issues for the null-controllability of the linear 1-d heat equation 

  Micu, S.; Zuazua, E. (2011-12-31)

  The fact that the heat equation is controllable to zero in any bounded domain of the Euclidean space, any time T>0 and from any open subset of the boundary is well known. On the other hand, numerical experiments show ...

• Full characterization of the fractional Poisson process 

  Politi, M.; Kaizoji, T.; Scalas, E. (2011-12-31)

  The fractional Poisson process (FPP) is a counting process with independent and identically distributed inter-event times following the Mittag-Leffler distribution. This process is very useful in several fields of applied ...

• Homogenization of the Neumann problem in perforated domains: An alternative approach 

  Barchiesi, M.; Focardi, M. (2011-12-31)

  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 

  Ou, Y. (2011-12-31)

  This paper studies the singular limit of the non-isentropic Navier-Stokes equations with zero thermal coefficient in a two-dimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained ...

• Solvability via viscosity solutions for a model of phase transitions driven by configurational forces 

  Zhu, P. (2011-12-31)

  This article is concerned with an initial-boundary value problem for an elliptic-parabolic coupled system arising in martensitic phase transition theory of elastically deformable solid materials, e.g., steel. This model ...

• Flux identification for 1-d scalar conservation laws in the presence of shocks 

  Castro, C.; Zuazua, E. (2011-12-31)

  We consider the problem of flux identification for 1-d scalar conservation laws formulating it as an optimal control problem. We introduce a new optimization strategy to compute numerical approximations of minimizing fluxes. ...

• Approximation of Hölder continuous homeomorphisms by piecewise affine homeomorphisms 

  Bellido, J.C.; Mora-Corral, C. (2011-12-31)

  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 ...

• A splitting method for the nonlinear Schrödinger equation 

  Ignat, L.I. (2011-12-31)

  We introduce a splitting method for the semilinear Schrödinger equation and prove its convergence for those nonlinearities which can be handled by the classical well-posedness L2(Rd)-theory. More precisely, we prove that ...

• Dispersion for the Schrödinger equation on networks 

  Banica, V.; Ignat, L.I. (2011-12-31)

  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 ...

• The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide 

  Krejčiřík, D.; Zuazua, E. (2011-12-31)

  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 ...

• Best constants and Pohozaev identity for hardy-sobolev-type operators 

  Adimurthi (2013-12-31)

  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 ...

• Stationary policies for the second moment stability in a class of stochastic systems 

  Vargas, A.N.; Do Val, J.B.R. (2011-12-31)

  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 long-run average cost under a stationary policy is equivalent ...

• Nematic elastomers: Gamma-limits for large bodies and small particles 

  Cesana, P. (2011-12-31)

  We compute the large-body and the small-particle Gamma-limit of a family of energies for nematic elastomers. We work under the assumption of small deformations (linearized kinematics) and consider both compressible and ...

• Dispersive Properties for Discrete Schrödinger Equations 

  Ignat, L.I.; Stan, D. (2011-12-31)

  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 ...

• Interface motion by interface diffusion driven by bulk energy: Justification of a diffusive interface model 

  Alber, H.-D.; Zhu, P. (2011-12-31)

  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 ...

• Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces 

  Haspot, B. (2011-12-31)

  This paper is dedicated to the study of viscous compressible barotropic fluids in dimension N≥2. We address the question of well-posedness for large data having critical Besov regularity. Our result improves the analysis ...

• Propagation of chaos in a coagulation model 

  Escobedo, M.; Pezzotti, F. (2013-12-31)

  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.

• Compressible primitive equations: Formal derivation and stability of weak solutions 

  Ersoy, M.; Ngom, T.; Sy, M. (2011-12-31)

  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 ...

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