You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Ali Adalı (Yeditepe)
“SOLVING THE NONLINEARITY WITH THE QUASI SOLUTION METHOD: THE THEORY AND APPLICATIONS”
Abstract: The Quasi Solution method is a recent method which is developed for rigorously proving the existence and uniqueness of the zeros of nonlinear operators N(x)=0 when a “near” solution x_0 is known and certain regularity conditions are met.
In this talk I will describe The Quasi Solution method in detail. Next, I will present, with a reasonable amount of detail, the implementation of the method in two nonlinear problems: (i)The tritronquée solution to the the Peinleve-1 equation and
(ii) Steadily translating Hele-Shaw bubble when the surface tension is large.
I will point out the key parts, strengths and weaknesses of the method and I will end my talk with a brief discussion about its further implementations.
Date: 3 March, 2021
Time: 13:30-14:30, GMT+3
This is an online seminar. To request the event link, please send a message to firstname.lastname@example.org