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Now showing items 21-30 of 223

#### Complexity and regularity of maximal energy domains for the wave equation with fixed initial data

(Discrete and Continuous Dynamical Systems- Series A, 2015-12-31)

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 L2-norm of the ...

#### On the well-posedness of mathematical models for multicomponent biofilms

(Mathematical Methods in the Applied Sciences, 2015-12-31)

Bacterial biofilms are microbial depositions on immersed surfaces. Their mathematical description leads to degenerate diffusion-reaction equations with two non-Fickian effects: (i) a porous medium equation like degeneracy ...

#### Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces

(Mathematics of Computation, 2015-12-31)

We develop finite difference numerical schemes for a model arising in multi-body structures, previously analyzed by H. Koch and E. Zuazua, constituted by two n-dimensional wave equations coupled with a (n - 1)- dimensional ...

#### Critical points and symmetries of a free energy function for biaxial nematic liquid crystals

(Nonlinearity, 2015-12-31)

We describe a general mean field model for the free energy function for a homogeneous medium of mutually interacting molecules, based on the formalism for a biaxial nematic liquid crystal set out by Katriel et al (1986) ...

#### Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data

(Archive for Rational Mechanics and Analysis, 2015-12-31)

In this article, we consider parabolic equations on a bounded open connected subset Rn. We model and investigate the problem of optimal shape and location of the observation domain having a prescribed measure. This problem ...

#### A Systematization of the Unscented Kalman Filter Theory

(IEEE Transactions on Automatic Control, 2015-12-31)

In this paper, we propose a systematization of the (discrete-time) Unscented Kalman Filter (UKF) theory. We gather all available UKF variants in the literature, present corrections to theoretical inconsistencies, and provide ...

#### Emergence of cooperation in phenotypically heterogeneous populations: A replicator dynamics analysis

(Journal of Statistical Mechanics: Theory and Experiment, 2015-12-31)

The emergence of cooperation is analyzed in heterogeneous populations where two kinds of individuals exist according to their phenotypic appearance. Phenotype recognition is assumed for all individuals: individuals are ...

#### A uniform controllability result for the Keller-Segel system

(Asymptotic Analysis, 2015-12-31)

In this paper we study the controllability of the Keller-Segel system approximating its parabolic-elliptic version. We show that this parabolic system is locally uniform controllable around a constant solution of the ...

#### Sparse initial data identification for parabolic PDE and its finite element approximations

(Mathematical Control and Related Fields, 2015-12-31)

We address the problem of inverse source identication for parabolic equations from the optimal control viewpoint employing measures of minimal norm as initial data. We adopt the point of view of approximate controllability ...

#### Numerical aspects of large-time optimal control of Burgers equation

(ESAIM: Mathematical Modelling and Numerical Analysis, 2015-10-13)

In this paper, we discuss the efficiency of various numerical methods for the inverse design of the Burgers equation, both in the viscous and in the inviscid case, in long time-horizons. Roughly, the problem consists in, ...