Open AccessNon-global solution for visco-elastic dynamical system with nonlinear source term in control problem
Author(s) -
Xiaoqiang Dai,
Wenke Li
Publication year - 2021
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2021073
Subject(s) - convexity , term (time) , nonlinear system , mathematics , boundary value problem , control (management) , mathematical analysis , computer science , physics , artificial intelligence , economics , quantum mechanics , financial economics
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.