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MULTIFLUID IONIZATION MODELS
In this paper, we present a multi-fluid ionization model. We prove that this stationary, mono-dimensional model has a maximal solution which is not global at variance... -
Numerical Analysis of the Isotropic Fokker–Planck–Landau Equation
The homogeneous Fokker–Planck–Landau equation is investigated for Coulombic potential and isotropic distribution function, i.e., when the distribution function de-... -
Convergence of an Adaptive Scheme for the one dimensional Vlasov-Poisson system
An adaptive semi-Lagrangian scheme for solving the Cauchy problem associated to the periodic one-dimensional Vlasov-Poisson system is proposed and analyzed. A key... -
Three-dimensional recovery of stress intensity factors and energy release rat...
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Emerging crack front identification from tangential surface displacements
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Time-local dissipative formulation and stable numerical schemes for a class o...
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Study of stochastic partial differential equations
This thesis deals with the mathematical field of stochastic nonlinear partial differential equations' analysis. We are interested in parabolic and hyperbolic PDE... -
A nonlinear Bloch model for Coulomb interaction in quantum dots
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Cauchy problem for effectively hyperbolic operators with triple characteristi...
We study a class of third order hyperbolic operators $P$ in $G = \{(t, x):0 \leq t \leq T, x \in U \Subset \R^{n}\}$ with triple characteristics at $\rho = (0, x_0,... -
Combined energy method and regularization to solve the Cauchy problem for the...
International audience
