VASSEUR , Alexis

International audience

We go back to the analysis of the transport of (classical or quantum) particles intime-dependent random media as proposed in [F. Poupaud and A. Vasseur,J. Math. Pures Appl.(9), 82 (2003), pp. 711–748], where the convergence of the expectation of solutions of the Liouvilleequation (resp., Wigner equation) to the solution of the Fokker-Planck...

We establish the boundedness of solutions of reaction-diffusion systems with qua-dratic (in fact slightly super-quadratic) reaction terms that satisfy a natural entropy dissipation property, in any space dimension N > 2. This bound imply the C ∞-regularity of the solutions. This result extends the theory which was restricted to the...