Browsing Past Topics (PT) by Title
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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 ... 
Blowup for a timeoscillating nonlinear heat equation
(20131231)In this paper, we study a nonlinear heat equation with a periodic time oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according ... 
Boundary stabilization of numerical approximations of the 1D variable coefficients wave equation: A numerical viscosity approach
(20141231)In this paper, we consider the boundary stabilization problem associated to the 1 d wave equation with both variable density and diffusion coefficients and to its finite difference semidiscretizations. It is wellknown ... 
Boundary unique continuation for stochastic parabolic equations
(20121231)This paper is devoted to the study the boundary unique continuation property for forward stochastic parabolic equations, i.e., determine the value of the solution by means of the observation on arbitrary open subset of the ... 
Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems
(20121231)In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we study two inverse problems for stochastic parabolic equations. One is concerned with a determination ... 
Classical nonmasspreserving solutions of coagulation equations
(20121231)In this paper we construct classical solutions of a family of coagulation equations with homogeneous kernels that exhibit the behaviour known as gelation. This behaviour consists in the loss of mass due to the fact that ... 
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data
(20151231)We consider the homogeneous wave equation on a bounded open connected subset Î© of IRn. Some initial data being specified, we consider the problem of determining a measurable subset Ï‰ of Î© maximizing the L2norm of the ... 
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 ... 
Continuous adjoint approach for the spalartallmaras model in aerodynamic optimization
(20121231)In this paper, the continuous adjoint method to compute shape sensitivities in aerodynamic design with turbulence modeling is described and developed. The focus is on compressible flows described by the Reynoldsaveraged ... 
Control and stabilization of waves on 1d networks
(20131231)We present some recent results on control and stabilization of waves on 1d networks.The fine timeevolution of solutions of wave equations on networks and, consequently, their control theoretical properties, depend in a ... 
Control of 2D scalar conservation laws in the presence of shocks
(20160101)We analyze a model optimal control problem for a 2D scalar conservation lawthe socalled inverse design problemwith the goal being to identify the initial datum leading to a given final time configuration. The presence ... 
Control of a hysteresis model subject to random failures
(20151231)The note presents conditions to assure weak stability in the mean for a hysteresis BoucWen model controlled by a proportionalintegral controller subject to random failures. When a failure happens, the controller turns ... 
Control of temperature to suppress the population of Rhyzopertha dominica (F.) (Coleoptera, Bostrichidae) in a grain silo prototype
(20131231)This note presents some results from laboratory experiments that were conducted to characterize the influence of temperature in the mortality of adults of the insect known as lesser grain borer, Rhyzopertha dominica (F.). ... 
Control of underwater vehicles in inviscid fluids: I. Irrotational flows
(20141231)In this paper, we investigate the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid whose flow is assumed to be irrotational. Taking as control input the flow of the fluid through ... 
Controllability of fast diffusion coupled parabolic systems
(20141231)In this work we are concerned with the null controllability of coupled parabolic systems depending on a parameter and converging to a parabolicelliptic system. We show the uniform null controllability of the family of ... 
Convergence of a twogrid algorithm for the control of the wave equation
(20091231)We analyze the problem of boundary observability of the finitedifference space semidiscretizations of the 2d wave equation in the square.We prove the uniform (with respect to the meshsize) boundary observability for the ... 
Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations
(20121231)This article is devoted to the analysis of the convergence rates of several numerical approximation schemes for linear and nonlinear Schrödinger equations on the real line. Recently, the authors have introduced viscous and ... 
Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature
(20150901)We consider an approximation of the linearised equation of the homogeneous Boltzmann equation that describes the distribution of quasiparticles in a dilute gas of bosons at low temperature. The corresponding collision ... 
Convergence to equilibrium of some kinetic models
(20131231)We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies ... 
Counterexamples of regularity behavior for σevolution equations
(20111231)In this paper, we mainly discuss the infinite loss of regularity and μloss for a σevolution type model with oscillating in time coefficients. On the one hand, an explicit counterexample has been constructed in the ...