Global existence of reaction-diffusion equations over multiple domains /

Bibliographic Details
Main Author:	Ryan, John Maurice-Car, 1969-
Other Authors:	Walton, Jay R. (Thesis advisor)
Format:	Thesis eBook
Language:	English
Published:	[College Station, Tex.] : [Texas A&M University], [2006]
Subjects:	Major mathematics. Differential Equations Reaction-Diffusion Existence
Online Access:	Link to OAK Trust copy

Description
Abstract:	Systems of semilinear parabolic differential equations arise in the modelling of many chemical and biological systems. We consider m component systems of the form [unable to replicate formulas contained in this abstract]. The primary results of this dissertation are three-fold. The work began with a proof of the well posedness for the system . Then we obtained a global existence result if f is polynomially bounded, quaipositive and satisfies a linearly intermediate sums condition. Finally, we show that systems of reaction-diffusion equations with large diffusion coeffcients exist globally with relatively weak assumptions on the vector field f.
Item Description:	"Major Subject: Mathematics" Title from author supplied metadata (automated record created on Apr. 14, 2006.) Vita. Abstract. Electronic resource.
Format:	Mode of access: World Wide Web. System requirements: World Wide Web access and Adobe Acrobat Reader.
Bibliography:	Includes bibliographical references.