Hypocoercivity for linear kinetic equations conserving mass

@inproceedings{Dolbeault2015HypocoercivityFL,
  title={Hypocoercivity for linear kinetic equations conserving mass},
  author={Jean Dolbeault and Cl{\'e}ment Mouhot and Christian Schmeiser},
  year={2015}
}
We develop a new method for proving hypocoercivity for a large class of linear kinetic equations with only one conservation law. Local mass conservation is assumed at the level of the collision kernel, while transport involves a confining potential, so that the solution relaxes towards a unique equilibrium state. Our goal is to evaluate in an appropriately weighted L norm the exponential rate of convergence to the equilibrium. The method covers various models, ranging from diffusive kinetic… CONTINUE READING

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