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Now showing items 31-40 of 47

#### Counterexample of loss of regularity for fractional order evolution equations with both degenerating and oscillating coefficients

(Nonlinear Analysis, Theory, Methods and Applications, 2014-12-31)

For weak evolution models of fractional order with singularity near the origin, the joint influence from the principal œÉ-Laplacian operator, degenerating part and oscillating part is of prime concern in the discussion of ...

#### Finite time blow-up and condensation for the bosonic Nordheim equation

(Inventiones mathematicae, 2014-12-31)

The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the ...

#### Null controllability of a system of viscoelasticity with a moving control

(Journal des Mathematiques Pures et Appliquees, 2014-12-31)

In this paper, we consider the wave equation with both viscous Kelvin-Voigt and frictional damping as a model of viscoelasticity in which we incorporate an internal control with a moving support. We prove the null ...

#### Attractors met X-elliptic operators

(Journal of Mathematical Analysis and Applications, 2014-12-31)

We consider degenerate parabolic and damped hyperbolic equations involving an operator L, that is X-elliptic with respect to a family of locally Lipschitz continuous vector fields X={X1,... Xm}. The local well-posedness ...

#### Parallel Schwarz wave form relaxation algorithm for an n-dimensional semilinear heat equation

(ESAIM Mathematical Modelling and Numerical Analysis, 2014-12-31)

We present in this paper a proof of well-posedness and convergence for the parallel Schwarz Waveform Relaxation Algorithm adapted to an N-dimensional semilinear heat equation. Since the equation we study is an evolution ...

#### Gradient-based optimization techniques for the design of static controllers for Markov jump linear systems with unobservable modes

(International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2014-12-31)

The paper formulates the static control problem of Markov jump linear systems, assuming that the controller does not have access to the jump variable. We derive the expression of the gradient for the cost motivated by the ...

#### Derivation of a homogenized von-Kármán shell theory from 3D elasticity

(Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 2014-12-31)

We derive homogenized von Kármán shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains two small parameters: the period of oscillation $\epsilon$ of the material ...

#### Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach

(Lecture Notes in Computational Science and Engineering, 2014-12-31)

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 semi-discretizations. It is well-known ...

#### Optimal sensor location for wave and Schrödinger equations

(Proceedings of the Conference in Hyperbolic Problems: theory, Numerics and Applications, Padova, 2012, Fabio Ancona, Alberto Bressan, Pierangelo Marcati and Andrea Marson, eds., AIMS on Applied Mathematics, Vol. 8, American Institute of Mathematical Sciences (AIMS), 2014-12-31)

This paper summarizes the research we have carried out recently on the problem of the optimal location of sensors and actuators for wave equa- tions, which has been the object of the talk of the third author at the Hyp2012 ...

#### The turnpike property infinite-dimensional nonlinear optimal control

(Journal of Differential Equations, 2014-12-31)

Turnpike properties have been established long time ago in finite-dimensional optimal control problems arising in econometry. They refer to the fact that, under quite general assumptions, the optimal solutions of a given ...