Differential equation systems. Transport in bounded domains

Автор: Chemetov N.V.
Год издания: 2014
Место издания: FCUL/University of Lisbon University of Lisbon, Portugal
Объём: 56 страниц
Академическое издание
Аннотация: Many mathematical models of continuous media lead to the study of systems of coupled partial differential equations. In such systems, different components of the solution sought such as velocity, vorticity, density, pressure, saturation, etc., can satisfy partial differential equations of different types: elliptic, parabolic, hyperbolic. This dictates the necessity to develop suitable method of investigation for each specific system, since a general theory of systems of coupled equations is far from being fully developed. The lecture deals with the systems of coupled hyperbolic-elliptic equations with particular emphasis on problems that arise in nonlinear fluid mechanics, superconductivity theory and the theory of collective motion of cells. The principal characteristic of all considered systems is a transport behavior. The objective of this lecture is to formulate the actual theory for such systems in bounded domains.
Добавил в систему: Шеметов Николай Васильевич

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