Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case script M sign∞ <- 1

Seiji Ukai; Tong Yang; Shih-Hsien Yu

doi:10.1007/s00220-003-0976-4

Author(s)

Seiji Ukai
Tong Yang
Shih-Hsien Yu

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	99-109
Journal / Publication	Communications in Mathematical Physics
Volume	244
Issue number	1
Publication status	Published - Jan 2004

Link(s)

DOI	DOI https://doi.org/10.1007/s00220-003-0976-4 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0742305914&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(f91eeeee-39cd-423b-badb-e1fd431376a8).html

Abstract

This is a continuation of the paper on nonlinear boundary layers of the Boltzmann equation where the existence is established and shown to be strongly dependent on the Mach number script M sign of the Maxwellian state at far field. In this paper, when script M sign <-1, we will show that the linearized operator has the exponential decay in time property and therefore a bootstrapping argument yields nonlinear stability of the boundary layers.

Citation Format(s)

[ RIS ] [ BibTeX ]

Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case script M sign∞ <- 1. / Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien.

In: Communications in Mathematical Physics, Vol. 244, No. 1, 01.2004, p. 99-109.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Ukai, S, Yang, T & Yu, S-H 2004, 'Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case script M sign∞ <- 1', Communications in Mathematical Physics, vol. 244, no. 1, pp. 99-109. https://doi.org/10.1007/s00220-003-0976-4

Ukai, S., Yang, T., & Yu, S-H. (2004). Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case script M sign∞ <- 1. Communications in Mathematical Physics, 244(1), 99-109. https://doi.org/10.1007/s00220-003-0976-4

Ukai S, Yang T, Yu S-H. Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case script M sign∞ <- 1. Communications in Mathematical Physics. 2004 Jan;244(1):99-109. doi: 10.1007/s00220-003-0976-4

Ukai, Seiji ; Yang, Tong ; Yu, Shih-Hsien. / Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case script M sign∞ <- 1. In: Communications in Mathematical Physics. 2004 ; Vol. 244, No. 1. pp. 99-109.