A WELL-POSEDNESS RESULT FOR IRREVERSIBLE PHASE TRANSITIONS WITH A NONLINEAR HEAT FLUX LAW

被引：0

作者：

Bonfanti, Giovanna ^{[1
]}

Luterotti, Fabio ^{[1
]}

机构：

[1] Univ Brescia, Dipartimento Matemat, I-25123 Brescia, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 02期

关键词：

Phase changes; microscopic movements; irreversibility; existence; uniqueness; DIMENSIONAL FULL MODEL; MICROSCOPIC ACCELERATIONS; EXISTENCE RESULT; GLOBAL SOLUTION; MOVEMENTS;

D O I：

10.3934/dcdss.2013.6.331

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with a PDE system describing a phase transition problem characterized by irreversible evolution and ruled by a nonlinear heat flux law. Its derivation comes from the modelling approach proposed by M. FREMOND. Our main result consists in showing the global-in-time existence and the uniqueness of the solution of the related initial and boundary value problem.

引用

页码：331 / 351

页数：21

共 20 条

[1] [Anonymous], 1986, Annali di Matematica Pura ed Applicata, DOI [DOI 10.1007/BF01762360.MR916688, DOI 10.1007/BF01762360]
[2] [Anonymous], 1973, N HOLLAND MATH STUDI
[3] [Anonymous], 1969, QUELQUES METHODES RE
[4] [Anonymous], 1996, Models of phase transitions
[5] Baiocchi C., 1967, ANN MAT PUR APPL, V76, P233, DOI DOI 10.1007/BF02412236
[6] Barbu V, 1976, Nonlinear Semigroups and Differential Equations in Banach Spaces, Editura Academiei Republicii Socialiste Romania
[7] Well-posedness results and asymptotic behaviour for a phase transition model taking into account microscopic accelerations
Bonfanti, G
Luterotti, F
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (01) : 95 - 107
[8] Existence and uniqueness results to a phase transition model based on microscopic accelerations and movements
Bonfanti, G
Frémond, M
Luterotti, F
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2004, 5 (01) : 123 - 140
[9] Bonfanti G., 2000, ADV MATH SCI APPL, V10, P1
[10] Global solution to a phase transition model with microscopic movements and accelerations in one space dimension
Bonfanti, Giovanna
Luterotti, Fabio
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2006, 5 (04) : 763 - 777

← 1 2 →