Anne-Laure Dalibard

Homogenization of Non-linear Scalar Conservation Laws

We study the limit as ε → 0 of the entropy solutions of the equation

Well-posedness of the Stokes–Coriolis system in the half-space over a rough surface

{\partial_t u^\varepsilon + {\rm div}_x \left[A \left(\frac{x}{\varepsilon},u^\varepsilon \right)\right] =0}

Mathematical study of the β-plane model for rotating fluids in a thin layer

. We prove that the sequence uε two-scale converges toward a function u(t, x, y), and u is the unique solution of a limit evolution problem. The remarkable point is that the limit problem is not a scalar conservation law, but rather a kinetic equation in which the macroscopic and microscopic variables are mixed. We also prove a strong convergence result in

Stability of periodic stationary solutions of scalar conservation laws with space-periodic flux

{L_{\rm loc}^1}

Long Time Behavior of Parabolic Scalar Conservation Laws with Space Periodic Flux

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Asymptotic Behavior of a Rapidly Rotating Fluid with Random Stationary Surface Stress

We derive a kinetic formulation for the parabolic scalar conservation law