This dissertation studies the detection and reconstruction of the space term for a variable separable source in acoustic and elastic wave problems. To do this, we study the time-reversal mirror method, which exploits an intrinsic invariance of physics at microscopic level that is also observed at...
This thesis presents theoretical results for stability and string stability of formation control architectures for platooning. We consider three important interconnection topologies for vehicles travelling in a straight line as a string: leader following, cyclic and bidirectional.
For the leade...
In this thesis we study the rational Cherednik algebra attached to the complex
reflection group G(r,1,2). Each irreducible representation of G(r; 1; 2) corresponds
to a standard module for the rational Cherednik algebra. We give
necessary and sufficient conditions for the existence of morphisms ...
This PhD thesis is dedicated to the study of the inverse problem of obstacle/object
detection using optimization methods. This problem consists in localizing an unknown object ω inside a known bounded domain Ω by means of boundary measurements
and more pr
This thesis is dedicated to the study of differential inclusions involving normal cones of nonregular sets in Hilbert spaces. In particular, we are interested in the sweeping process and its variants. The sweeping process is a constrained differential inclusion involving normal cones which appear...
We study existence questions and qualitative properties of solutions to variational problems related to minimization of geometric quantities, such as generalized notions of length of curves and of the area of surfaces, in a suitable sense. In the first part we consider a nonnegative multi-well po...
We study existence questions and qualitative properties of solutions to variational problems related to minimization of geometric quantities, such as generalized notions of length of curves and of the area of surfaces, in a suitable sense. In the first part we consider a nonnegative multi-well po...
This Ph.D. thesis aims to obtain and to develop some mathematical models to understand some aspects of the dynamics of heterogeneous granular fluids. More precisely, the expected result is to develop three models, one where the dynamics of the granular material is modeled using a mixture theory a...
This thesis is dedicated to the study of the stationary Boussinesq system:
u + (u r)u + r = g in
, div u = 0 in
, (0.1a)
+ u r = h in
, (0.1b)
where
R3 is an open bounded connected set; u, and are the velocity field, pressure
a
Cette thèse considère la résolution des problèmes de la conception optimale en utilisant des
procédures asymptotiques de deuxième ordre. Ces procédures nous donnent une formulation
simpli ée du problème qui nous permet d'obtenir des résultats numériques.
