Zero dissipation limit to rarefaction wave with vacuum for the one-dimensional non-isentropic micropolar equations. (December 2020)

• Record Type: Journal Article
• Authors: Gong, Guiqiong
• Is Part Of: Nonlinear analysis. Volume 56(2020)
• Publication Date: 2020-12
• Subjects: Micropolar equations -- Zero dissipation limit -- Rarefaction wave -- Vacuum; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103167
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The zero dissipation limit of the one-dimensional non-isentropic micropolar equations is studied in this paper. If the given rarefaction wave which connects to vacuum at one side, a sequence of solution to the micropolar equations can be constructed which converge to the above rarefaction wave with vacuum as the viscosity and the heat conduction coefficient tend to zero. Moreover, the uniform convergence rate is obtained. The key point in our analysis is how to control the degeneracies in the vacuum region in the zero dissipation limit process.