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. <i>Electronic Journal of Differential Equations, 2018</i>(167), pp. 1-26.

Rights

Attribution 4.0 International

Rights Holder

Rights License