Abstract
The Biot equations of acoustics in porous ealstic media are written as a matrix operator which turrs out to be elliptic in the sense of Douglis and Nirenberg. The fundamental solution is calculated and properties of solutions to the Biot equation are analyzed. Similarities and contrasts to the theory of thermoelasticity are pointed out.
Original language | English |
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Pages (from-to) | 87-97 |
Number of pages | 11 |
Journal | Applicable Analysis |
Volume | 61 |
Issue number | 1-2 |
DOIs | |
State | Published - Jun 1996 |
Keywords
- Biot theory
- Elliptic operators
- Porous elastic media
- Potential theory