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
APA
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MLA
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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