Existence, blow-up and exponential decay for Kirchhoff-Love equations with Dirichlet conditions
Date
2018-10-04
Authors
Triet, Nguyen Anh
Mai, Vo Thi Tuyet
Ngoc, Le Thi Phuong
Nguyen, Thanh Long
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
The article concerns the initial boundary value problem for a nonlinear Kirchhoff-Love equation. First, by applying the Faedo-Galerkin, we prove existence and uniqueness of a solution. Next, by constructing Lyapunov functional, we prove a blow-up of the solution with a negative initial energy, and establish a sufficient condition for the exponential decay of weak solutions.
Description
Keywords
Nonlinear Kirchhoff-Love equation, Blow-up, Exponential decay
Citation
Triet, N. A., Mai, V. T. T., Ngoc, L. T. P., & Nguyen, T. L. (2018). Existence, blow-up and exponential decay for Kirchhoff-Love equations with Dirichlet conditions. Electronic Journal of Differential Equations, 2018(167), pp. 1-26.
Rights
Attribution 4.0 International