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 Td x Rd or on the whole space (x, v) ε Rd x Rd with a confining potential. We present explicit convergence results in total variation or weighted total variation norms (alternatively L1 or weighted L1 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