Beginning2018-07-04 16:00:00
Ending2018-07-04 17:00:00
Event titleVisiting Scholar Colloquium-An ODE approach to backward self-similar solutions for semilinear heat equations
SpeakerProf. Yuki Naito (Ehime University, Japan)
PlaceR723, The 3rd General Building
DescriptionClick here to read
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NoteWe consider a nonlinear ordinary differential equation which comes from the semilinear heat equation, and show the existence of backward self-similar solutions by an ODE shooting method.
As an application, we will construct peaking solutions by connecting a backward self-similar solution with a forward self-similar solution.
In particular, we show the existence of incomplete blow-up solutions with blow-up profile above the singular steady state.
Last Update Time2018-06-27 09:37:24
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