An identification problem for a conserved phase-field model with memory

被引：7

作者：

Lorenzi, A ^{[1
]}

机构：

[1] Univ Milan, Dept Math F Enriques, I-20133 Milan, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2005年 / 28卷 / 11期

关键词：

identification problems; memory kernels; integrodifferential equations; regularity and continuous dependence results; phase-field models;

D O I：

10.1002/mma.614

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to recovering a scalar memory kernel in a conserved phase-field model. For such a problem local in time existence and uniqueness results are proved. The technique used allows to show also the continuous dependence on the kernel of the solution to the direct problem. Copyright (C) 2005 John Wiley & Sons, Ltd.

引用

页码：1315 / 1339

页数：25

共 50 条

[1] Asymptotic justification of the conserved phase-field model with memory
Felli, V
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2000, 19 (04): : 953 - 976
[2] A mixed type identification problem related to a phase-field model with memory
Guidetti, Davide
Lorenzi, Alfredo
OSAKA JOURNAL OF MATHEMATICS, 2007, 44 (03) : 579 - 613
[3] On the conserved phase-field model
Miranville, Alain
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 400 (01) : 143 - 152
[4] Dissipativity of a conserved phase-field system with memory
Vegni, FM
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, 9 (04) : 949 - 968
[5] Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase-field model
Colombo, F
Guidetti, D
Vespri, V
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (17) : 2085 - 2115
[6] Identification of the memory kernel and the heat source for a phase-field model
Colombo, Fabriz
Damiano, Alberto
HOUSTON JOURNAL OF MATHEMATICS, 2006, 32 (03): : 895 - 920
[7] Exponential attractors for a conserved phase-field system with memory
Gatti, S
Grasselli, M
Pata, V
PHYSICA D-NONLINEAR PHENOMENA, 2004, 189 (1-2) : 31 - 48
[8] Longterm dynamics of a conserved phase-field system with memory
Grasselli, M
Pata, V
Vegni, FM
ASYMPTOTIC ANALYSIS, 2003, 33 (3-4) : 261 - 320
[9] Conserved phase-field system with memory in a history space setting
Vegni, FM
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2001, 4A (03): : 555 - 558
[10] CONVERGENCE TO EQUILIBRIA OF SOLUTIONS TO A CONSERVED PHASE-FIELD SYSTEM WITH MEMORY
Aizicovici, Sergiu
Petzeltova, Hana
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2009, 2 (01): : 1 - 16

← 1 2 3 4 5 →