Large time behavior of elementary waves of Burgers` equation under white noise perturbation
Journal Article
·
· Communications in Partial Differential Equations
- Georgetown Univ., Washington, DC (United States)
One of the most thoroughly studied nonlinear partial differential equation is the inviscid Burgers` equation (1.1) u{sub t} + uu{sub x} = 0, which was often used as a prototype model for study of conservation laws. The solutions of (1.1) is characterized as the {nu} {yields} 0+ limit of solutions of Burgers` equation (1.2) u{sub t}+ uu{sub x} = {nu}u{sub xx}. Burgers` equation (1.1) and (1.2) with white noise as initial value (1.3) u(x,0) = W(x) was originally proposed by Burgers [B] as a model for turbulence. 11 refs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 482452
- Journal Information:
- Communications in Partial Differential Equations, Vol. 20, Issue 9-10; Other Information: PBD: 1995
- Country of Publication:
- United States
- Language:
- English
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