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Volume 35, Issue 2
Global Existence of Mild Solutions for the Elastic System with Structural Damping

Wei Shi

Ann. Appl. Math., 35 (2019), pp. 180-188.

Published online: 2020-08

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  • Abstract

In this paper, we study the global existence of mild solutions for the semilinear initial-value problems of second order evolution equations, which can model an elastic system with structural damping. This discussion is based on the operator semigroups theory and the Leray-Schauder fixed point theorem. In addition, an example is presented to illustrate our theoretical result.

  • Keywords

$C_0$-semigroup, elastic systems, structural damping, mild solution, fixed point.

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COPYRIGHT: © Global Science Press

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@Article{AAM-35-180, author = {Shi , Wei}, title = {Global Existence of Mild Solutions for the Elastic System with Structural Damping}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {35}, number = {2}, pages = {180--188}, abstract = {

In this paper, we study the global existence of mild solutions for the semilinear initial-value problems of second order evolution equations, which can model an elastic system with structural damping. This discussion is based on the operator semigroups theory and the Leray-Schauder fixed point theorem. In addition, an example is presented to illustrate our theoretical result.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18076.html} }
TY - JOUR T1 - Global Existence of Mild Solutions for the Elastic System with Structural Damping AU - Shi , Wei JO - Annals of Applied Mathematics VL - 2 SP - 180 EP - 188 PY - 2020 DA - 2020/08 SN - 35 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18076.html KW - $C_0$-semigroup, elastic systems, structural damping, mild solution, fixed point. AB -

In this paper, we study the global existence of mild solutions for the semilinear initial-value problems of second order evolution equations, which can model an elastic system with structural damping. This discussion is based on the operator semigroups theory and the Leray-Schauder fixed point theorem. In addition, an example is presented to illustrate our theoretical result.

Wei Shi. (2020). Global Existence of Mild Solutions for the Elastic System with Structural Damping. Annals of Applied Mathematics. 35 (2). 180-188. doi:
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