2017/03/30 by Pierre Monmarché, Monmarché, Pierre
Physics and Astronomy · Mathematics · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #Mathematical Biology Tumor Growth
paper · pdf · doi:10.48550/arxiv.1703.10504
This note deals with the linear Boltzmann equation in the non-compact setting with a confining potential which is close to quadratic. We prove that in this case, starting from a smooth initial datum, the Fisher Information (hence, the relative entropy) with respect to the stationary state converges exponentially fast to zero.