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Now showing items 1-10 of 44

#### Pullback exponential attractors for evolution processes in banach spaces: Theoretical results

(2013-12-31)

We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding ...

#### On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device

(2013-12-31)

This paper deals with the control problem of discrete-time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is ...

#### The subelliptic ∞-Laplace system on Carnot-Carathéodory spaces

(2013-12-31)

Given a Carnot-Carathéodory space Ω ⊆ ℝn with associated frame of vector fields X = {X<inf>1</inf>,⋯, X<inf>m</inf>}, we derive the subelliptic ∞-Laplace system for mappings u: Ω → ℝN, which reads δX∞u:=(Xu ⊗ Xu +

#### Analysis and numerical simulations of a chemotaxis model of aggregation of microglia in Alzheimer's disease

(2013-12-31)

In this paper, we study the well-posedness in scales of Hilbert spaces Eα, α ∈ ℝ defined by the non-coupled system partial differential operator of a chemotaxis model of aggregation of microglia in Alzheimer's disease for ...

#### The L∞-null controllability of parabolic equation with equivalued surface boundary conditions

(2013-12-31)

In this paper, we obtain the L∞-null controllability of the parabolic equation with equivalued surface boundary conditions in Ω×[0,T]. The control is supported in the product of an open subset of Ω and a subset of [0,T] ...

#### Maximum Principles for vectorial approximate minimizers of nonconvex functionals

(2013-12-31)

We establish Maximum Principles which apply to vectorial approximate minimizers of the general integral functional of Calculus of Variations. Our main result is a version of the Convex Hull Property. The primary advance ...

#### Attractors for a class of semi-linear degenerate parabolic equations

(2013-12-31)

We consider degenerate parabolic equations of the form ∂tu = Δλu + f(u) u{pipe}∂Ω = 0, u{pipe}t=0 = u0 in a bounded domain Ω ⊂N, where Δλ is a subelliptic operator of the type (Formula presented.) We prove global existence ...

#### On the positivity of solutions of systems of stochastic PDEs

(2013-12-31)

We study the positivity of solutions of a class of semi-linear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit ...

#### A comparison of the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method for solutions of partial differential equations

(2013-12-31)

We compare numerical experiments from the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method, applied to three benchmark problems based on two different ...

#### A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators

(2013-12-31)

In this paper, a lower bound is established for the local energy of partial sum of eigenfunctions for Laplace-Beltrami operators (in Riemannian manifolds with low regularity data) with general boundary condition. This ...