Stability of Viscous Shocks on Finite Intervals

• Published in: Archive for rational mechanics and analysis Vol. 187; no. 1; pp. 157 - 183
• Main Authors: Kreiss, Gunilla, Kreiss, Heinz-Otto, Lorenz, Jens
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.01.2008; Springer; Springer Nature B.V
• Subjects: Classical Mechanics; Classical transport; Complex Systems; Compressible flows; shock and detonation phenomena; Exact sciences and technology; Fluid dynamics; Fluid- and Aerodynamics; Fundamental areas of phenomenology (including applications); Fysik; Matematisk fysik; Mathematical and Computational Physics; Mathematical physics; Mathematics; NATURAL SCIENCES; NATURVETENSKAP; Other physics; Physics; Physics and Astronomy; Shock-wave interactions and shock effects; Statistical physics, thermodynamics, and nonlinear dynamical systems; Studies; Theoretical; Transport processes; Övrig fysik; Diffusion Wave; Steady Solution; Eigenvalue Problem; Shock Layer; Negative Real Part; Thin films; Conservation laws; Shock layer; Shock waves; Non viscous fluid; Decay time; Modelling; Wave damping; Viscous fluids; Cauchy problem; Mechanics; Interdisciplinary Applications

Consider the Cauchy problem for a system of viscous conservation laws with a solution consisting of a thin, viscous shock layer connecting smooth regions. We expect the time-dependent behavior of such a solution to involve two processes. One process consists of the large-scale evolution of the solut...