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A cross-shaped blow-up solution for the semilinear heat equation with Hatem Zaag

This is a past event.

Wednesday, March 15, 2023 at 1:00pm to 2:00pm

Virtual Event

Speaker.  Hatem Zaag, University of Paris 13.

Title. A cross-shaped blow-up solution for the semilinear heat equation

Abstract. We consider the semilinear heat equation with a superlinear power nonlinearity in the Sobolev subcritical range. We construct a solution which blows up in finite time only at the origin, with a completely new blow-up profile, which is cross-shaped. Our method is general and extends to the construction of other solutions blowing up only at the origin, with a large variety of blow-up profiles, degenerate or not.

Dial-In Information

Meeting ID: 930 5388 4755

Passcode: AAM2022

Event Type

Academics, Lectures & conferences

Audience

Students, Faculty & Staff, Alumni

Tags

APPLIED MATHEMATICS

Department
Department of Mathematics and Statistics
Hashtag

#Applied Math

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