The well posedness of a local in time Cauchy problem for a nonlinear hyperbolic heat equation, governing the evolution of a new, semiempirical, temperature scale, is proved. The introduction of such a temperature permits to eliminate the paradox of infinite speed of propagation of thermal disturbances, arising in the classical theory of heat conduction.
Well-posedness results for a nonlinear hyperbolic heat equation
CIMMELLI, Vito Antonio;
1993-01-01
Abstract
The well posedness of a local in time Cauchy problem for a nonlinear hyperbolic heat equation, governing the evolution of a new, semiempirical, temperature scale, is proved. The introduction of such a temperature permits to eliminate the paradox of infinite speed of propagation of thermal disturbances, arising in the classical theory of heat conduction.File in questo prodotto:
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Cimmelli, Kosinski, Ricerche di Matematica, 42 (1993), 49-68.pdf
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