• A splitting method for the augmented Burgers equation 

  Ignat L.; Pozo A. (BIT Numerical Mathematics, 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. (ESAIM: Mathematical Modelling and Numerical Analysis, 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 ...

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

  Castro C.; Zuazua E. (Mathematics of Computation, 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. ...

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

  Micu S.; Zuazua E. (Systems and Control Letters, 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 ...

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

  Adimurthi (Communications in Contemporary Mathematics, 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 ...

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

  Cesana P. (SIAM Journal on Mathematical Analysis, 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 ...

• Approximation of Hölder continuous homeomorphisms by piecewise affine homeomorphisms 

  Bellido J.C.; Mora-Corral C. (Houston Journal of Mathematics, 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 ...

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

  Vargas A.N.; Do Val J.B.R. (Proceedings of the IEEE Conference on Decision and Control, 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 ...

• Quasiconvex envelopes of energies for nematic elastomers in the small strain regime and applications 

  Cesana P.; Desimone A. (Journal of the Mechanics and Physics of Solids, 2011-12-31)

  We provide some explicit formulas for the quasiconvex envelope of energy densities for nematic elastomers in the small strain regime and plane strain conditions. We then demonstrate their use as a powerful tool for the ...

• Full characterization of the fractional Poisson process 

  Politi M.; Kaizoji T.; Scalas E. (EPL, 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 ...

• Dispersion for the Schrödinger equation on networks 

  Banica V.; Ignat L.I. (Journal of Mathematical Physics, 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. (Journal of Differential Equations, 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 ...

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

  Zhu P. (Journal of Differential Equations, 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 ...

• Low Mach number limit of viscous polytropic fluid flows 

  Ou Y. (Journal of Differential Equations, 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 ...

• A splitting method for the nonlinear Schrödinger equation 

  Ignat L.I. (Journal of Differential Equations, 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 ...

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

  Haspot B. (Journal of Differential Equations, 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 ...

• Spherically symmetric solutions to a model for phase transitions driven by configurational forces 

  Ou Y.; Zhu P. (Journal of Mathematical Physics, 2011-12-31)

  We prove the global-in-time existence of spherically symmetric solutions to an initial-boundary value problem for a system of partial differential equations, which consists of the equations of linear elasticity and a ...

• Propagation of chaos in a coagulation model 

  Escobedo M.; Pezzotti F. (Mathematical Models and Methods in Applied Sciences, 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. © ...

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

  Alber H.-D.; Zhu P. (Continuum Mechanics and Thermodynamics, 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 ...

• A kinetic scheme for transient mixed flows in non uniform closed pipes: A global manner to upwind all the source terms 

  Bourdarias C.; Ersoy M.; Gerbi S. (Journal of Scientific Computing, 2011-12-31)

  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 ...

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