Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 62, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2021.103382
Keywords
Forest kinetic model; Lyapunov function; Lojasiewicz-Simon gradient inequality; Asymptotic convergence
Categories
Funding
- JSPS, Japan KAKENHI [JP19K23405]
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In this study, we analyze the asymptotic behavior of global solutions to forest kinetic model equations consisting of young trees, old trees, and air-borne seeds. We prove the asymptotic convergence of global solutions to a stationary solution under certain parameter assumptions by demonstrating a non-smooth version of the Lojasiewicz-Simon gradient inequality and a norm estimate of the time derivative of global solutions on a suitable functional space.
We study the asymptotic behavior of global solutions to forest kinetic model equations composed of young trees, old trees, and air-borne seeds. Under some parameter assumptions, we prove the asymptotic convergence of global solutions to a stationary solution. To this end, we show a non-smooth version of the Lojasiewicz-Simon gradient inequality on a suitable functional space and a certain norm estimate of the time derivative of global solutions. (C) 2021 Elsevier Ltd. All rights reserved.
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