Admissible Solutions of Hyperbolic Conservation Laws
Jan 1981 · American Mathematical Society: Memoirs of the American Mathematical Society Kitabu cha 240 · American Mathematical Soc.
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reportUkadiriaji na maoni hayajahakikishwa Pata Maelezo Zaidi
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We consider a system of n conservation laws: [partial derivative/boundary/degree of a polynomial symbol]∂u [over] [partial derivative/boundary/degree of a polynomial symbol]∂t + [partial derivative/boundary/degree of a polynomial symbol]∂f(u) [over] [partial derivative/boundary/degree of a polynomial symbol]∂x = 0. The system is assumed to be strictly hyperbolic, but not necessarily genuinely nonlinear in the sense of Peter Lax (Hyperbolic systems of conservation laws, 1957). Our purpose is to study the regularity, large-time behavior and the approximation of the solution of the initial-value problem. Our analysis is based on the random choice method, using the solution of the Riemann problem, as building blocks.
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