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2 papers

On the Neumann-Dirichlet problem for a system of nonlinear viscoelastic equations of Kirchhoff type with Balakrishnan- Taylor term

Bui Duc Nam, Huynh Van Dung, Le Tuan Khai

DOI: 10.37550/tdmu.EJS/2023.05.416

Abstract | PDF

In this paper, the Neumann-Dirichlet boundary problem for a system of nonlinear viscoelastic equations of Kirchhoff type with Balakrishnan-Taylor term is considered. At first, a local existence is established by the linear approximation together with the Faedo- Galerkin method. Then, by establishing several reasonable conditions and suitable energy inequalities, the solution of the problem admits a general decay in time.

High-order iterative scheme for Kirchhoff-type wave equation with the source containing three unknown values

Le Thi Mai Thanh, Pham Nguyen Nhat Khanh

DOI: 10.37550/tdmu.EJS/2023.05.428

Abstract | PDF

In this paper, a high-order iterative scheme is established in order to get a convergent sequence at a rate of order N, (N ≥ 2) to a local unique weak solution of a nonlinear Kirchhoff-type wave equation associated with Robin conditions.