High-temperature viscous flows. A case of pudding model. (March 2017)

• Record Type: Journal Article
• Authors: Mucha, Piotr B.; Świerczewska-Gwiazda, Agnieszka
• Is Part Of: Nonlinear analysis. Volume 151(2017)
• Page Start: 109
• Page End: 125
• Publication Date: 2017-03
• Subjects: Navier–Stokes equations -- Heat conducting fluids -- Inhomogeneous incompressible flows -- Regular solutions; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.11.013
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We investigate the Navier–Stokes–Fourier system for incompressible heat conducting inhomogeneous fluid. The main result concerns existence of global in time regular large solutions, provided the initial temperature is sufficiently large. Magnitudes of norms of initial velocity and gradients of initial temperature and density are not limited. The system may be viewed as a model of pudding, as we assume the viscosity grows with the temperature.