Analysis and Optimal Control of Phase-Field Transition System: Fractional Steps Methods

by

Costica Morosanu

DOI: 10.2174/97816080535061120101
eISBN: 978-1-60805-350-6, 2012
ISBN: 978-1-60805-647-7



Indexed in: Book Citation Index, Science Edition, Scopus, EBSCO.

All developments in mathematics and computer science facilitate development of industrial applications. This e-book approaches the sub...[view complete introduction]
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Optimal Control Problems Governed By The Phase-Field Transition System

- Pp. 107-184 (78)

Costica MOROSANU

Abstract

Some types of boundary optimal control problems governed by the nonlinear phase-field transition system, are introduced and analyzed in this Chapter. </p> <p> The aim of Section 3.1 is to prove (for later use) a priori estimates in L2([0, T];H2( )) for unknown u, ' in phase-field system, in the presence of following boundary conditions (see (30), (300) in Preface):....

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