Classical global solutions for compressible radiative flow in a slab under semi-reflexive boundary conditions. (October 2017)

• Record Type: Journal Article
• Authors: de Azevedo, F.S.; Sauter, E.; Thompson, M.
• Is Part Of: Nonlinear analysis. Volume 37(2017)
• Page Start: 493
• Page End: 511
• Publication Date: 2017-10
• Subjects: Navier–Stokes equation -- Gas dynamics -- Radiative transfer -- Second-order parabolic equation -- Index theory -- Leray–Schauder fixed point theorem; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.03.007
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Classical global solutions are established for a model of compressible radiative flow in a slab under semi-reflexive boundary conditions using energy–entropy estimates and a homotopic version of the Leray–Schauder fixed point Theorem together with classical Friedman–Schauder estimates for linear second order parabolic equations in boundary Hölder spaces. Highlights: Existence was established for radiative–conductive problem coupled with motion. The theory of existence is based on a homotopic Leray–Schauder fixed point Theorem. The theory of existence was established in classical functional spaces.