The solution of Burgers' equation for sinusoidal excitation at the upstream boundary

DOI10.1007/BF02383570zbMath0702.76102MaRDI QIDQ915591

William S. Vorus

Publication date: 1989

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

analytical solutionexact solutionHopf-Cole transformationBurgers' classical solutionBurgers' nonlinear diffusion equationconvective stream with sinusoidal excitationtransformed upstream boundary condition

Mathematics Subject Classification ID

Diffusion (76R50) Gas dynamics (general theory) (76N15)

Related Items

A direct variational method applied to Burgers' equation, Group theoretic methods applied to Burgers' equation

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A table of solutions of the one-dimensional Burgers equation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics