首页|Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics
Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics
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NETL
NSTL
Ios Press
We revisit the theory of first-order quasilinear systems with diagonalizable principal part and only real eigenvalues, what is commonly referred to as strongly hyperbolic systems. We provide a self-contained and simple proof of local wellposedness, in the Hadamard sense, of the Cauchy problem. Our regularity assumptions are very minimal. As an application, we apply our results to systems of ideal and viscous relativistic fluids, where the theory of strongly hyperbolic equations has been systematically used to study several systems of physical interest.
NETL
NSTL
Ios Press
