各向异性孔隙弹性介质的Biot模型:粘弹性流体情况

Q1 Mathematics
R. Gilbert, Michael Shoushani
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引用次数: 4

摘要

我们证明了线性各向异性Biot方程的完全各向异性时谐孔弹性边值问题的存在性定理。利用这些解的存在性,我们给出了求解一类非线性流体-流体粘度的准线性系统的一种方案。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Biot Model for Anisotropic Poro-Elastic Media: The Viscoelastic Fluid Case
We show that an existence theorem for the completely anisotropic, time-harmonic poro-elastic boundary value problem can be established for the linear anisotropic Biot equations. Using the existence of these solutions, we present a scheme for solving the quasi-linear system for a nonlinear fluid–fluid viscosity such as the Carreau type.
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来源期刊
CiteScore
3.90
自引率
0.00%
发文量
0
审稿时长
4.5 months
期刊介绍: Currently known as Journal of Theoretical and Computational Acoustics (JTCA).The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations. The journal strives to be flexible in the type of high quality papers it publishes and their format. Equally desirable are Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational acoustics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research in which other than strictly computational arguments may be important in establishing a basis for further developments. Tutorial review papers, covering some of the important issues in Computational Mathematical Methods, Scientific Computing, and their applications. Short notes, which present specific new results and techniques in a brief communication. The journal will occasionally publish significant contributions which are larger than the usual format for regular papers. Special issues which report results of high quality workshops in related areas and monographs of significant contributions in the Series of Computational Acoustics will also be published.
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