Non-global solution for visco-elastic dynamical system with nonlinear source term in control problem

Non-global solution for visco-elastic dynamical system with nonlinear source term in control problem

In this paper, we study the initial boundary value problem of the visco-elastic dynamical system with the nonlinear source term in control system. By variational arguments and an improved convexity method, we prove the global nonexistence of solution, and we also give a sharp condition for global ex...

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Veröffentlicht in:Electronic Research Archive 2021-12, Vol.29 (6), p.4087-4098
Hauptverfasser: Dai, Xiaoqiang, Li, Wenke
Format: Artikel
Sprache:eng
Schlagworte:
Control systems
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Zusammenfassung:In this paper, we study the initial boundary value problem of the visco-elastic dynamical system with the nonlinear source term in control system. By variational arguments and an improved convexity method, we prove the global nonexistence of solution, and we also give a sharp condition for global existence and nonexistence.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2021073