𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Approximated Solution of a Nonlinear Singular Equation of Prandtl's Type

✍ Scribed by D. Oestreich


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
468 KB
Volume
161
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Blowup of solutions of the unsteady Pran
✍ Weinan E; Bjorn Engquist πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 146 KB πŸ‘ 2 views

We prove that for certain classes of compactly supported C ∞ initial data, smooth solutions of the unsteady Prandtl's equation blow up in finite time.

Finitely smooth solutions of nonlinear s
✍ Masafumi Yoshino πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 291 KB

## Abstract We solve a Fuchsian system of singular nonlinear partial differential equations with resonances. These equations have no smooth solutions in general. We show the solvability in a class of finitely smooth functions. Typical examples are a homology equation for a vector field and a degene

On the Existence of Positive Solutions o
✍ S. Masmoudi; N. Yazidi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 112 KB

We consider the nonlinear singular differential equation where Β΅ and Οƒ are two positive Radon measures on 0 Ο‰ not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the

On the approximate solution of some two-
✍ V. D. Didenko; B. Silbermann πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 120 KB πŸ‘ 1 views

## Abstract An approximation method for a wide class of two‐dimensional integral equations is proposed. The method is based on using a special function system. Orthonormality and good interaction with fundamental integral operators arising in partial differential equations are remarkable properties