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Relaxation and diffusion enhanced dispersive waves

Publication ,  Journal Article
Jin, S; Liu, JG
Published in: Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
January 1, 1994

The development of shocks in nonlinear hyperbolic conservation laws may be regularized through either diffusion or relaxation. However, we have observed surprisingly that for some physical problems, when both of the smoothing factors diffusion and relaxation coexist, under appropriate asymptotic assumptions, the dispersive waves are enhanced. This phenomenon is studied asymptotically in the sense of the Chapman-Enskog expansion and demonstrated numerically.

Duke Scholars

Published In

Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences

DOI

ISSN

0962-8444

Publication Date

January 1, 1994

Volume

446

Issue

1928

Start / End Page

555 / 563

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Jin, S., & Liu, J. G. (1994). Relaxation and diffusion enhanced dispersive waves. Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences, 446(1928), 555–563. https://doi.org/10.1098/rspa.1994.0120
Jin, S., and J. G. Liu. “Relaxation and diffusion enhanced dispersive waves.” Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences 446, no. 1928 (January 1, 1994): 555–63. https://doi.org/10.1098/rspa.1994.0120.
Jin S, Liu JG. Relaxation and diffusion enhanced dispersive waves. Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences. 1994 Jan 1;446(1928):555–63.
Jin, S., and J. G. Liu. “Relaxation and diffusion enhanced dispersive waves.” Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences, vol. 446, no. 1928, Jan. 1994, pp. 555–63. Scopus, doi:10.1098/rspa.1994.0120.
Jin S, Liu JG. Relaxation and diffusion enhanced dispersive waves. Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences. 1994 Jan 1;446(1928):555–563.

Published In

Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences

DOI

ISSN

0962-8444

Publication Date

January 1, 1994

Volume

446

Issue

1928

Start / End Page

555 / 563

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences