Cauchy problems for semi-linear hyperbolic systems with their applications

  • E.E Ndiyo
  • E Ukeje
Keywords: Hyperbolic Systems, Characteristic curves, eigenvalues, eigenvectors, isentropic fluid.

Abstract

In this paper, the solution to semi-linear hyperbolic systems of the form A(x, t)ut + B(x,t)ux + c(x, t)u = f(x,t,u) in Ωx(0,∞) with u(x,0) = φ (x) is given. We apply this solution approached to establish the solution representation for any isentropic fluid flow.

KEYWORDS: Hyperbolic Systems, Characteristic curves, eigenvalues, eigenvectors, isentropic fluid.

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Articles

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eISSN: 1596-6208