Hyperbolic Systems of Conservation Laws

  title={Hyperbolic Systems of Conservation Laws},
  author={Constantine M. Dafermos},
Conservation laws are first order systems of quasilinear partial differential equations in divergence form; they express the balance laws of continuum physics for media with "elastic" response, in which internal dissipation is neglected. The absence of internal dissipation is manifested in the emergence of solutions with jump discontinuities across manifolds of codimension one, representing, in the applications, phase boundaries or propagating shock waves. The presence of discontinuities makes… CONTINUE READING
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