Nonlinear Stability of Travelling Wavesfor a Hyperbolic System with RelaxationCorrado

@inproceedings{Mascia1996NonlinearSO,
  title={Nonlinear Stability of Travelling Wavesfor a Hyperbolic System with RelaxationCorrado},
  author={Cinzia Mascia and Roberto Natalini},
  year={1996}
}
We investigate the existence and the asymptotic stability of travelling wave solutions for a hyperbolic 2 2 system with a relaxation source term. Using the subcharacteristic stability condition, which implies special monotonicity properties of the solutions, we are able to establish the L 1 asymptotic attractivity of these solutions. In this paper we investigate nonlinear stability of travelling wave solutions to the following (semilinear) hyperbolic 2 2 system with a relaxation source term: (1… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-6 of 6 references

Hyperbolic conservation laws with sti relaxation termsand entropy

  • C. Levermore, T.-P. Liu
  • Comm . Pure Appl . Math .
  • 1993

The Boltzmann equation and its applications

  • C. Cercignani
  • Springer{Verlag, New York
  • 1988
1 Excerpt

Hyperbolic conservation laws with relaxation

  • T.-P. Liu
  • Comm. Math. Phys
  • 1987

Linear and nonlinear waves

  • J. Whitham
  • Wiley, New York
  • 1974
2 Excerpts

Introduction to physical gas dynamics

  • W. G. Vincenti, C. K. Kruger
  • Wiley, New York
  • 1965
1 Excerpt

Stability of travelling waves for nonconvex scalarviscous conservation laws

  • R. Gardner, T. Kapitula
  • Comm . Pure Appl . Math .
  • 1964

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