Energy and Maximum Norm Estimates for Nonlinear Conservation Laws

  title={Energy and Maximum Norm Estimates for Nonlinear Conservation Laws},
  author={Pelle Olsson and Joseph Oliger}
We have devised a technique that makes it possible to obtain energy estimates for initial-boundary value problems for nonlinear conservation laws. The two major tools to achieve the energy estimates are a certain splitting of the flux vector derivative f(u)x, and a structural hypothesis, referred to as a cone condition, on the flux vector f(u). These hypotheses are fulfilled for many equations that occur in practice, such as the Euler equations of gas dynamics. It should be noted that the… CONTINUE READING
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