Research output per year
Research output per year
José A. Cañizo, Chuqi Cao^{*}, Josephine Evans, Havva Yoldaş
Research output: Contribution to journal › Article › Scientific › peer-review
We study convergence to equilibrium of the linear relaxation Boltz-mann (also known as linear BGK) and the linear Boltzmann equations either on the torus (x, v) ε T_{d} x R_{d} or on the whole space (x, v) ε R_{d} x R_{d} with a confining potential. We present explicit convergence results in total variation or weighted total variation norms (alternatively L^{1} or weighted L^{1} norms). The convergence rates are exponential when the equations are posed on the torus, or with a confining potential growing at least quadratically at infinity. Moreover, we give algebraic convergence rates when subquadratic potentials considered. We use a method from the theory of Markov processes known as Harris's Theorem.
Original language | English |
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Pages (from-to) | 97-128 |
Number of pages | 32 |
Journal | Kinetic and Related Models |
Volume | 13 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2020 |
Externally published | Yes |
Research output: Contribution to journal › Article › Scientific › peer-review