Volume 35, Issue 2
Long-Time Dynamics for Thermoelastic Bresse System of Type III

Na Fu

Commun. Math. Res., 35 (2019), pp. 159-179.

Published online: 2019-12

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  • Abstract

This paper considers the thermoelastic beam system of type III with friction dissipations acting on the whole system. By using the methods developed by Chueshov and Lasiecka, we get the quasi-stability property of the system and obtain the existence of a global attractor with finite fractal dimension. Result on exponential attractors of the system is also proved.

  • Keywords

Bresse system, quasi-stability, global attractor, fractal dimension, exponential attractor

  • AMS Subject Headings

35B41, 35L53, 74K10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

funa120815@163.com (Na Fu)

  • BibTex
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  • TXT
@Article{CMR-35-159, author = {Fu , Na}, title = {Long-Time Dynamics for Thermoelastic Bresse System of Type III}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {2}, pages = {159--179}, abstract = {

This paper considers the thermoelastic beam system of type III with friction dissipations acting on the whole system. By using the methods developed by Chueshov and Lasiecka, we get the quasi-stability property of the system and obtain the existence of a global attractor with finite fractal dimension. Result on exponential attractors of the system is also proved.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.02.07}, url = {http://global-sci.org/intro/article_detail/cmr/13491.html} }
TY - JOUR T1 - Long-Time Dynamics for Thermoelastic Bresse System of Type III AU - Fu , Na JO - Communications in Mathematical Research VL - 2 SP - 159 EP - 179 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.02.07 UR - https://global-sci.org/intro/article_detail/cmr/13491.html KW - Bresse system, quasi-stability, global attractor, fractal dimension, exponential attractor AB -

This paper considers the thermoelastic beam system of type III with friction dissipations acting on the whole system. By using the methods developed by Chueshov and Lasiecka, we get the quasi-stability property of the system and obtain the existence of a global attractor with finite fractal dimension. Result on exponential attractors of the system is also proved.

Na Fu. (2019). Long-Time Dynamics for Thermoelastic Bresse System of Type III. Communications in Mathematical Research . 35 (2). 159-179. doi:10.13447/j.1674-5647.2019.02.07
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