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Identifier

000452882

Title

Porous medium /slow diffusion equation with nonlinear source and 3RD type boundary conditions

Alternative Title

Εξίσωση πορόδους μέσου με αργή διάχυση με μη γραμμική πηγή και 3RD τύπου συνοριακές συνθήκες

Author

Γραμματικός Ηλίας

Thesis advisor

Τερσενώφ, Άλκης

Reviewer

Φίλιππας, Στάθης
Τερτίκας, Αχιλλέας

Abstract

In the present paper, we obtain a new a priori estimate of the solution of the initial-boundary value Problem for the Porous medium equation with non-linear source. Also, we present the conditions guaranteeing the existence of a global classical solution of this Problem as well as the cases for which the solution may blow up (the last is discussed in [1,2]). We have to establish an a priori estimate of the already studied heat type problem with Dirichlet conditions instead (see [3]). The main tool which is going to be utilized for finding an a priori estimate and constructing an upper bound for the solution, is the maximum principle

Language

English

Subject

A priori εκτιμήσεις

Εξίσωση αργής διάχυσης

Issue date

2023-03-17

Collection

School/Department--School of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses

Type of Work--Post-graduate theses

Permanent Link

https://elocus.lib.uoc.gr//dlib/9/b/7/metadata-dlib-1671180029-916718-6561.tkl