On one-dimensional chafee-infante equation
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Özet (EN)
In this Master's thesis, we conduct a study of the one-dimensional Chafee-Infante partial differential equation on the interval [0, π]. This well-studied equation has applications in various physical processes, such as mass transport and particle diffusion. Our work consists of four parts. After introducing essential mathematical concepts, investigation begins with a deep dive into Sobolev spaces, focusing particularly on the one-dimensional case, to establish the necessary mathematical foundation. This is followed by a detailed examination of the one-dimensional heat equation. Building upon these sections, we discuss the properties of the Chafee-Infante equation from the viewpoint of the theory of partial differential equations.
Yazar
Ezgi Öztekin
Kurum
Bu Yayına Nasıl Atıf Yapılır
Ezgi Öztekin (Master Thesis). On one-dimensional chafee-infante equation, 2023, Koç University.
Anahtar Kelimeler
Lisans
Tüm Hakları Saklıdır
Bu eser belirtilen lisans koşulları altında paylaşılmaktadır.
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