Global existence and blow-up for a thermoelastic system with p-Laplacian. Issue 18 (12th December 2022)

• Record Type: Journal Article
• Authors: Ding, Hang; Zhou, Jun
• Is Part Of: Applicable analysis. Volume 101:Issue 18(2022)
• Page Start: 6690
• Page End: 6708
• Publication Date: 2022-12-12
• Subjects: Thermoelastic system -- p-Laplacian -- global existence -- blow-up -- blow-up time; 35B40 -- 93D20 -- 74F05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1941906
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we study the following thermoelastic system with p -Laplacian 1 { u t t − Δ p u + θ = | u | r − 1 u, θ t − Δ θ = u t in a bounded domain Ω ⊂ R n, where u and θ denote the elongation of a plate and the temperature difference to the equilibrium state, respectively; Δ p denotes the classical p -Laplacian operator. By employing the potential well theory, we discuss the properties of global existence and finite time blow-up for the solutions. Moreover, we give the lower and upper bounds of blow-up time to the blow-up solutions.