Energy and Maximum Norm Estimates for Nonlinear Conservation Laws

@inproceedings{OlssonEnergyAM,
  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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On the symmetric form of systems of conservation laws with entropy

  • A. Harten
  • J. Comput. Phys., 49:151-164
  • 1983
Highly Influential
5 Excerpts

Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves

  • P. Lax
  • volume 11 of CBMS-NSF Regional Conference Series…
  • 1973
Highly Influential
6 Excerpts

Shock waves and entropy

  • P. Lax
  • E. H. Zarantonello, editor, Contributions to…
  • 1971
Highly Influential
6 Excerpts

High-Order Difference Methods and Dataparallel Implementation

  • P. Olsson
  • PhD thesis, Dept. of Scientific Computing,
  • 1992
1 Excerpt

Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives

  • S. Abarbanel, D. Gottlieb
  • J. Comput. Phys., 41(1):1-33
  • 1981
2 Excerpts

Advanced Calculus

  • L. H. Loomis, S. Sternberg
  • Addison-Wesley Publishing Company
  • 1968
1 Excerpt

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