Uniqueness of moving boundary for a heat conduction problem with nonlinear interface conditions

DOI10.1016/J.AML.2010.01.018zbMath1189.35391OpenAlexW1971731794MaRDI QIDQ968557

Ting Wei

Publication date: 5 May 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.01.018

zbMATH Keywords

heat equationuniquenessinverse boundary problemnonlinear interface conditionsmultilayer domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23) Moving boundary problems for PDEs (35R37) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (6)

Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions ⋮ Closed loop variable gain ILC for a class of nonlinear parabolic distributed parameter systems with moving boundaries ⋮ On reaction-diffusion equations derived from a PEPA model ⋮ A one-dimensional inverse problem in composite materials: regularization and error estimates ⋮ Reconstruction of the heat transfer coefficient at the interface of a bi-material ⋮ Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries
• On Continuous Dependence, on Noncharacteristic Cauchy Data, for Level Lines of Solutions of the Heat Equation
• Heat transfer in composite materials with Stefan–Boltzmann interface conditions
• Stability Estimates in an Inverse Problem for a Three-Dimensional Heat Equation
• Reconstruction of an unknown boundary portion from Cauchy data in n dimensions
• A one-phase inverse Stefan problem
• Inverse problems for partial differential equations

This page was built for publication: Uniqueness of moving boundary for a heat conduction problem with nonlinear interface conditions