Asymptotic profile of solutions to the heat equation on thin plate with boundary heating

DOI10.1016/j.amc.2021.126356OpenAlexW3165310621MaRDI QIDQ2243335

Woocheol Choi, Eun Ho Lee

Publication date: 11 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08890

zbMATH Keywords

heat kernelRobin boundary conditionasymptotic profilethin platefocused surface heating

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Global attractors for quasilinear parabolic equations on unbounded thin domains
• Reaction-diffusion equations on unbounded thin domains
• 3-D transient analytical solution based on Green's function to temperature field in friction stir welding
• Reaction-diffusion equation on thin domains
• Reaction-diffusion equations on thin domains with varying order of thinness
• Green's function for second order parabolic systems with Neumann boundary condition
• Limiting dynamics for stochastic reaction-diffusion equations on the Sobolev space with thin domains
• A reaction-diffusion equation on a thin L-shaped domain
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