On blowing-up solutions of the Blasius equation

Naoyuki Ishimura; Shin'ya Matsui

doi:10.3934/dcds.2003.9.985

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2003, Volume 9, Issue 4: 985-992. Doi: 10.3934/dcds.2003.9.985

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On blowing-up solutions of the Blasius equation

Naoyuki Ishimura^1, and
Shin'ya Matsui^2,

1.
Department of Mathematics, Graduate School of Economics, Hitotsubashi University, Kunitachi, Tokyo 186-8601
2.
Department of Mathematics, Hokkaido Information University, Nishi-Nopporo, Ebetsu 069-8585

Received: November 2001

Revised: December 2002

Published: July 2003

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Abstract

The Blasius equation is a well-known third-order nonlinear ordinary equation, which arises in certain boundary layer problems in the fluid mechanics. In this note, we investigate the behavior of blowing-up solutions for related initial value problems.

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Mathematics Subject Classification: 34B15, 76D10.

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