Dissipative waves in fluids having both positive and negative nonlinearity

DOI10.1017/S0022112086000666zbMath0623.76030MaRDI QIDQ3761918

Wolfgang Pelz, M. S. Cramer, Alfred Kluwick, Layne T. Watson

Publication date: 1986

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

inviscid solutionsinviscid theorycubic Burgers equationexistence of negative nonlinearitynatural scaling lawweakly dissipative, weakly nonlinear waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves for incompressible viscous fluids (76D33) Basic methods in fluid mechanics (76M99)

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Uses Software

• COLSYS

Cites Work

• Solving boundary-value problems with a spline-collocation code
• Collocation Software for Boundary-Value ODEs
• Negative shock waves

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