Classification of the similarity solutions of free Kramers equation
β Scribed by Effat A. Saied
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 230 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0022-4715
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π SIMILAR VOLUMES
we present a method for constructing closed-form similarity solutions of the fourthorder nonlinear lubrication equation. By extending a technique used to study second-order degenerate diffusion problems, corresponding interface profiles and diffusion coefficient functions can be derived in exact for
A complete classification for the self-similar solutions to the generalized Burgers equation \[ u_{t}+u^{\beta} u_{x}=t^{N} u_{x x} \] of the form \(u(t, \eta)=A_{1} t^{-(1-N) / 2 \beta} F(\eta)\), where \(\eta=A_{2} x t^{-(1+N / 2}, A_{2}=1 / \sqrt{2 A}\), and \(A_{1}=\left(2 A_{2}\right)^{-1 / 6