Global existence and uniform decay for the one-dimensional model of thermodiffusion with second sound

被引：3

作者：

Zhang, Ming ^{[1
]}

Qin, Yuming ^{[2
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

thermodiffusion; second sound; global existence; exponential decay; DYNAMICAL PROBLEM;

D O I：

10.1186/1687-2770-2013-222

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate an initial boundary value problem for the one-dimensional linear model of thermodiffusion with second sound in a bounded region. Using the semigroup approach, boundary control and the multiplier method, we obtain the existence of global solutions and the uniform decay estimates for the energy.

引用

页数：11

共 50 条

[1] Global existence and uniform decay for the one-dimensional model of thermodiffusion with second sound
Ming Zhang
Yuming Qin
Boundary Value Problems, 2013
[2] Global existence for the one-dimensional second order semilinear hyperbolic equations
Galstian, Anahit
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) : 76 - 98
[3] ON GLOBAL SOLUTIONS IN ONE-DIMENSIONAL THERMOELASTICITY WITH SECOND SOUND IN THE HALF LINE
Hu, Yuxi
Wang, Na
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (05) : 1671 - 1683
[4] Global existence and optimal time decay rate to one-dimensional two-phase flow model
Huang, Xushan
Wang, Yi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 433
[5] The one-dimensional chemotaxis model: global existence and asymptotic profile
Hillen, T
Potapov, A
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (15) : 1783 - 1801
[6] Existence and energy decay of a nonuniform Timoshenko system with second sound
Hamadouche, Taklit
Messaoudi, Salim A.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (01):
[7] Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound
Kasimov, Aslan
Racke, Reinhard
Said-Houari, Belkacem
APPLICABLE ANALYSIS, 2014, 93 (05) : 911 - 935
[8] Global existence and decay property of the Timoshenko system in thermoelasticity with second sound
Racke, Reinhard
Said-Houari, Belkacem
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (13) : 4957 - 4973
[9] On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime
Rodriguez, Nancy
Winkler, Michael
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2022, 33 (05) : 919 - 959
[10] Exponential stability in one-dimensional non-linear thermoelasticity with second sound
Messaoudi, SA
Said-Houari, B
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (02) : 205 - 232

← 1 2 3 4 5 →