You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Ali Adal\u0131 (Yeditepe)<\/p>\n
\u201cSOLVING THE NONLINEARITY WITH THE QUASI SOLUTION METHOD: THE THEORY AND APPLICATIONS\u201d<\/p>\n
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 \u201cnear\u201d solution x_0 is known and certain regularity conditions are met.
\nIn 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 tritronqu\u00e9e solution to the the Peinleve-1 equation and
\n(ii) Steadily translating Hele-Shaw bubble when the surface tension is large.
\nI 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.<\/p>\n
Date: 3 March, 2021
\nTime: 13:30-14:30, GMT+3<\/p>\n
This is an online seminar. To request the event link, please send a message to goncha@fen.bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Ali Adal\u0131 (Yeditepe) \u201cSOLVING THE NONLINEARITY WITH THE QUASI SOLUTION METHOD: THE THEORY AND APPLICATIONS\u201d Abstract: The Quasi Solution method is a recent method which is developed for rigorously proving the existence and uniqueness of [\u2026] <\/p>\n