Heat conduction on the ring: interface problems with periodic boundary conditions

DOI10.1016/j.aml.2014.06.006zbMath1314.80002arXiv1506.08423OpenAlexW1967426552MaRDI QIDQ2349380

Bernard Deconinck, Natalie E. Sheils

Publication date: 22 June 2015

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

Full work available at URL: https://arxiv.org/abs/1506.08423

zbMATH Keywords

heat equationinterfaceperiodic boundary conditionsmethod of Fokas

Mathematics Subject Classification ID

Related Items (18)

The time-dependent Schrödinger equation with piecewise constant potentials ⋮ The linear KdV equation with an interface ⋮ Initial value problem for the time-dependent linear Schrödinger equation with a point singular potential by the unified transform method ⋮ Fokas’s Unified Transform Method for linear systems ⋮ Output feedback stabilization of reaction-diffusion PDEs with a non-collocated boundary condition ⋮ Global existence for Laplace reaction-diffusion equations ⋮ Integral representations for the double-diffusivity system on the half-line ⋮ Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line ⋮ Noncollocated robust output regulation of an unstable heat equation with recycle ⋮ The diffusion equation with nonlocal data ⋮ Multilayer diffusion in a composite medium with imperfect contact ⋮ Asymptotic convergence of solutions for Laplace reaction-diffusion equations ⋮ Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part I ⋮ Analytical and numerical temperature distribution in a 3-D triple-layer skin tissue subjected to a multi-point laser beam ⋮ Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks ⋮ Solving the heat equation with variable thermal conductivity ⋮ Heat conduction on the ring: interface problems with periodic boundary conditions ⋮ Solution to the 1D Stefan problem using the unified transform method

Cites Work

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• The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions
• Heat equation on a network using the Fokas method
• A Unified Approach to Boundary Value Problems
• On the zeros of exponential sums and integrals
• The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
• Interface Problems for Dispersive Equations
• The Method of Fokas for Solving Linear Partial Differential Equations
• A transform method for linear evolution PDEs on a finite interval
• Introduction to Partial Differential Equations

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