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Formation of Singularities for Vibrating String Equation of Mixed Initial-boundary Value Problems with Inhomogeneous Neumann Conditions

Author: SuJianJun
Tutor: ZhouYi
School: Fudan University
Course: Applied Mathematics
Keywords: Neumann condition blow up characteristic Lax transformation C~2-compatibility decaying Riemann invariant
CLC: O175.8
Type: Master's thesis
Year: 2011
Downloads: 25
Quote: 0
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Abstract


In this paper, we study the mixed initial-boundary value problems with inhomo-geneous Neumann boundary conditions for the nonlinear vibrating string equation on the strip:D={(t,x)|t≥0,0≤x≤l}. Under the assumptions that the bound-ary data are small and decaying and the initial data are small, we conclude that the classical solution must blow up in a finite time.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Boundary Value Problems
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