An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability-Reference-Cited by-同舟云学术

An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability

Published:2012-01-30 Issue:15 Volume:35 Page:1896-1929
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Marchand R.¹²,McDevitt T.³,Triggiani R.⁴⁵

Affiliation:

1. Department of Mathematical Sciences; US Air Force Academy; Colorado Springs CO USA

2. Department of Mathematics; Slippery Rock University; Slippery Rock PA USA

3. Department of Mathematics and Computer Science; Elizabethtown College; PA USA

4. Department of Mathematics; University of Virginia; Charlottesville VA USA

5. Department of Mathematics and Statistics; KFUPM; Dhahran 31261 Saudi Arabia

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/mma.1576/fullpdf

Reference27 articles.

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3. Nonlinear acoustic phenomena in viscous thermally relaxing fluids: shock bifurcation and the emergence of diffusive solitons (A) (Lecture). The 9 th International Conference on Theoretical and Computational Acoustics (ICTCA.2009), Dresden, Germany, 9 th September, 2009;Jordan;Journal of the Acoustical Society of America,2008

4. On the essential spectrum of a semigroup of thermo-elasticity;Henry;Non-linear Analysis, Theory Methods and Applications,1993

5. Structural decomposition of thermoelastic semigroups with rotational forces;Lasiecka;Semigroup Forum,2000

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