Speeds of Propagation in Classical and Relativistic Extended Thermodynamics

"Speeds of Propagation in Classical and Relativistic Extended Thermodynamics"

Ingo Müller

	Abstract
1	Introduction
2	Scope and Structure, Characteristic Speeds
	2.1	Thermodynamic processes
	2.2	Elements of the constitutive theory
	2.3	Exploitation of the entropy inequality, Lagrange multipliers
	2.4	Characteristic speeds
3	Finite Speeds in Non-Relativistic Extended Thermodynamics
	3.1	Concavity of the entropy density
	3.2	Symmetric hyperbolicity
	3.3	Moments as variables
	3.4	Specific form of the phase density
	3.5	Pulse speeds in a non-degenerate gas in equilibrium
	3.6	A lower bound for the pulse speed of a non-degenerate gas
4	Finite Speeds in Relativistic Extended Thermodynamics
	4.1	Concavity of a privileged entropy density
	4.2	Symmetric hyperbolicity
	4.3	Moments as four-fluxes and the vector potential
	4.4	Upper and lower bounds for the pulse speed
5	Relativistic Thermodynamics of Gases. 14-Field Theory
	5.1	Thermodynamic processes in viscous, heat-conducting gases
	5.2	Constitutive theory
	5.3	Results of the constitutive theory
	5.4	The laws of Navier–Stokes and Fourier
	5.5	Specific results for a non-degenerate relativistic gas
	5.6	Characteristic speeds in a viscous, heat-conducting gas
	5.7	Discussion
	References
	Footnotes
	Tables