Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Journal / PublicationScience China Mathematics
Online published10 Mar 2022
Publication statusOnline published - 10 Mar 2022

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85126465352&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(e8928073-9b15-4301-a629-d85819c42306).html

Abstract

In this paper we first deduce the estimates on the linearized Landau operator with Coulomb potential and then analyze its spectrum structure by using semigroup theory and linear operator perturbation theory Based on these estimates, we give the precise time decay rate estimates on the semigroup generated by the linearized Landau operator so that the optimal time decay rates of the nonlinear Landau equation follow. In addition, we present a similar result for the non-angular cutoff Boltzmann equation with soft potentials.

Research Area(s)

  • spectrum structure, time decay rate, Landau equation, Boltzmann equation, BOLTZMANN-EQUATION, EXPONENTIAL DECAY, ANGULAR CUTOFF, SYSTEM, EXISTENCE, LEVEL, LIMIT

Fingerprint

Publication fingerprints text

100
Coulomb Potential Keyphrases
100
Landau Equation Keyphrases
100
Spectrum Structure Keyphrases
100
Landau Operator Keyphrases
100
Decay Rate Estimate Keyphrases
100
spectra INIS
100
equations INIS
100
decay INIS
100
coulomb potential INIS
100
Operators Mathematics
Full Fingerprint ›

Citation Format(s)

[ RIS ] [ BibTeX ]
Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential. / Yang, Tong; Yu, Hongjun.
In: Science China Mathematics, 10.03.2022.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review