We prove that for certain classes of compactly supported C β initial data, smooth solutions of the unsteady Prandtl's equation blow up in finite time.
Approximated Solution of a Nonlinear Singular Equation of Prandtl's Type
β Scribed by D. Oestreich
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 468 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
A nonlinear strongly singular integral equation, which can be reduced to a nonlinear singular integro-differential equation of Prandtl's type, is considered. A collocation method for solution is treated and the convergence of the approximated solution to the unique solution of the nonlinear integral equation is proved.
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