THE BOUNDARY VALUE PROBLEMS OF STATIONARY OSCILLATIONS IN THE THEORY OF TWO-TEMPERATURE ELASTIC MIXTURES

被引：0
|
作者：
Giorgashvili, L. [1 ]
Karseladze, G. [1 ]
Sadunishvili, G. [1 ]
Zazashvili, Sh. [1 ]
机构：
[1] Georgian Tech Univ, Dept Math, 77 Kostava St, Tbilisi 0175, Georgia
来源：
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2013年 / 58卷
关键词：
Composite body; theory of mixtures; fundamental matrix; metaharmonic function;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive Green's formulas for the system of differential equations of stationary oscillations in the theory of elastic mixtures, which enable us to prove the uniqueness theorems for solutions of the boundary value problems. The jump formulas for single and double-layer potentials are derived. Using the theories of potentials and integral equations the existence of solutions is proved.
引用
收藏
页码：1 / 24
页数：24
相关论文
共 50 条
  • [1] Boundary-Value Problems of Statics in the Two-Temperature Elastic Mixture Theory for a Half-Space
    Skhvitaridze K.
    Kharashvili M.
    Burchuladze D.
    Journal of Mathematical Sciences, 2015, 206 (4) : 445 - 456
  • [2] Boundary-value problems on the dynamics of the theory of elastic mixtures for a disk
    I. I. Tsagareli
    D. I. Toradze
    International Applied Mechanics, 1998, 34 : 1257 - 1264
  • [3] Boundary-value problems on the dynamics of the theory of elastic mixtures for a disk
    Tsagareli, II
    Toradze, DI
    INTERNATIONAL APPLIED MECHANICS, 1998, 34 (12) : 1257 - 1264
  • [4] MIXED TYPE BOUNDARY VALUE PROBLEMS IN THE LINEAR THEORY OF ELASTIC MIXTURES FOR BODIES WITH INTERIOR CUTS
    Natroshvili, David
    Zazashvili, Shota
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2007, 42 : 69 - 91
  • [5] Boundary value problems of statics of the elastic mixture theory
    Giorgashvili, Levan
    Jagmaidze, Aslan
    Skhvitaridze, Ketevan
    GEORGIAN MATHEMATICAL JOURNAL, 2012, 19 (02) : 217 - 233
  • [6] INITIAL BOUNDARY-VALUE-PROBLEMS IN THE THEORY OF THERMOELASTIC OSCILLATIONS
    LEIS, R
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1984, 64 (04): : T12 - T17
  • [7] Algebraic Depletion Interactions in Two-Temperature Mixtures
    Damman, Pascal
    Demery, Vincent
    Palumbo, Guillaume
    Thomas, Quentin
    PHYSICAL REVIEW LETTERS, 2024, 133 (26)
  • [8] Stationary oscillations of elastic plates with Robin boundary conditions
    Thomson, GR
    Constanda, C
    INTEGRAL METHODS IN SCIENCE AND ENGINEERING, 2000, 418 : 316 - 321
  • [9] Stationary state in a two-temperature model with competing dynamics
    Szolnoki, A
    PHYSICAL REVIEW E, 1999, 60 (02): : 2425 - 2428
  • [10] Two-dimensional boundary value problems in potential theory
    Sokolnikoff, S
    JOURNAL OF APPLIED PHYSICS, 1943, 14 (02) : 91 - 95
12345