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Numerical experiments with a nonlinear evolution equation which exhibits blow-up

✍ Scribed by Kris Stewart; Tunc Geveci

Book ID
103614368
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
647 KB
Volume
10
Category
Article
ISSN
0168-9274

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We consider a system of heat equations u t = βˆ†u and v t = βˆ†v in Ω Γ— (0, T ) completely coupled by nonlinear boundary conditions βˆ‚u βˆ‚Ξ· = e pv u Ξ± , βˆ‚v βˆ‚Ξ· = u q e Ξ²v on βˆ‚β„¦ Γ— (0, T ). We prove that the solutions always blow up in finite time for non-zero and non-negative initial values. Also, the blow