Solvability on Boundary-Value Problems of Elasyicity of Three-Dimensional Quasicrystals

GUO Li-hui; FAN Tian-you

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GUO Li-hui, FAN Tian-you. Solvability on Boundary-Value Problems of Elasyicity of Three-Dimensional Quasicrystals[J]. Applied Mathematics and Mechanics, 2007, 28(8): 949-957.

Citation:

GUO Li-hui, FAN Tian-you. Solvability on Boundary-Value Problems of Elasyicity of Three-Dimensional Quasicrystals[J]. Applied Mathematics and Mechanics, 2007, 28(8): 949-957.

Citation:

GUO Li-hui, FAN Tian-you. Solvability on Boundary-Value Problems of Elasyicity of Three-Dimensional Quasicrystals[J]. Applied Mathematics and Mechanics, 2007, 28(8): 949-957.

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Solvability on Boundary-Value Problems of Elasyicity of Three-Dimensional Quasicrystals

School of Science, Beijing Institute of Technology, Beijing 100081, P. R. China

Received Date: 2006-03-09
Rev Recd Date: 2007-06-10
Publish Date: 2007-08-15

Abstract

Abstract

Weak solution(or generalized solution)for the boundary-value problems of partial differential equations of elasticity of 3D(three-dimensional)quasicrystals was given,in which the matrix expression was used.In terms of Korn inequality and theory of function space,the uniqueness of the weak solution was proved.This gives an extension of existence theorem of solution for classical elasticity to that of quasicrystals,and develops the weak solution theory of elasticity of 2D quasicrystals.
- quasicrystal,
- elasticity,
- boundary-value problem,
- weak solution,
- solvability

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References(21)

References

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