Erick Tetsadjio - Academia.edu (original) (raw)
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This article studies the homogenization of hyperbolic-parabolic equations in porous media with ti... more This article studies the homogenization of hyperbolic-parabolic equations in porous media with tiny holes. We assume that the holes are periodically distributed and that the coefficients of the equations are periodic. Using the multi-scale convergence method, we derive a homogenization result whose limit problem is defined on a fixed domain and is of the same type as the problem with oscillating coefficients.
We prove, for the relativistic Boltzmann equation in the homogeneous case, on the Minkowski space... more We prove, for the relativistic Boltzmann equation in the homogeneous case, on the Minkowski space-time, a global in time existence and uniqueness theorem. The method we develop extends to the cases of some curved space-times such as the flat Robertson-Walker space-time and some Bianchi type I space-times.
Classical and Quantum Gravity, 2009
Classical and Quantum Gravity, 2009
Classical and Quantum Gravity, 2009
Classical and Quantum Gravity, 2009
This article studies the homogenization of hyperbolic-parabolic equations in porous media with ti... more This article studies the homogenization of hyperbolic-parabolic equations in porous media with tiny holes. We assume that the holes are periodically distributed and that the coefficients of the equations are periodic. Using the multi-scale convergence method, we derive a homogenization result whose limit problem is defined on a fixed domain and is of the same type as the problem with oscillating coefficients.
We prove, for the relativistic Boltzmann equation in the homogeneous case, on the Minkowski space... more We prove, for the relativistic Boltzmann equation in the homogeneous case, on the Minkowski space-time, a global in time existence and uniqueness theorem. The method we develop extends to the cases of some curved space-times such as the flat Robertson-Walker space-time and some Bianchi type I space-times.
Classical and Quantum Gravity, 2009
Classical and Quantum Gravity, 2009
Classical and Quantum Gravity, 2009
Classical and Quantum Gravity, 2009