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On the convergence to equilibrium for degenerate transport problems
We give a counterexample which shows that the asymptotic rate of convergence to the equilibrium state for the transport equation, with a degenerate cross section and... -
Prox-Penalization and Splitting Methods for Constrained Variational Problems
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Lyapunov functions for evolution variational inequalities with locally prox-r...
This paper is devoted on the one hand to the study of specific properties of an evolution variational inequality, holding in the Hilbert setting. We give on the other... -
Nonlocal refuge model with a partial control
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Convergence problems, optimization of algorithms and stochastic analysis of r...
To optimize the networks control in telecommunication, we consider an M^X / G / 1 retrial queue with impatient customers. By using the method of supplementary... -
MITC elements for a classical shell model
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The mathematical shell model underlying general shell elements
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Keller-Osserman estimates for some quasilinear elliptic systems
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Convergence to equilibrium for positive solutions of some mutation-selection ...
In this paper we are interested in the long time behaviour of the positive solutions of the mutation selection model with Neumann Boundary condition: $$ \frac{\partial... -
The asymptotic behavior of the density of the supremum of Lévy processes
Let us consider a real Lévy process $X$ whose transition probabilities are absolutely continuous and have bounded densities. Then the law of the past supremum of $X$... -
Self-inductance coefficient for toroidal thin conductors
We consider the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. An explicit form of the singular part of... -
Empirical likelihood test in a posteriori change-point nonlinear model
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On some multi-phase problems in continuum mechanics
This work discusses a series of modelling problems in continuum mechanics. The first part is devoted to the mathematical analysis of some diffuse interface models in...
