Work

On the local existence and blow-up solutions to a quasi-linear bi-hyperbolic equation with dynamic boundary conditions

Year: 2024

Type: article

Abstract: This note aims to study the existence of the local solutions and derive a blow-up result for a quasi-linear bi-hyperbolic equation with dynamic boundary conditions. We use the maximal monotone operator theory to demonstrate the solution’s local well-posedness, and a concavity method to establish the blow-up result.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100925

Authors: Begüm Çalışkan Desova, Mustafa Polat

Institution: Yeditepe University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

OpenAlex ID: W4402660076

FWCI:

Cites: 27

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Related to: 10