Asymptotic analysis for the strip problem related to a parabolic third-order operator

DOI10.1016/S0893-9659(00)00172-5zbMath0981.35011arXiv1203.2254MaRDI QIDQ5938937

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Publication date: 7 August 2001

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

Full work available at URL: https://arxiv.org/abs/1203.2254

zbMATH Keywords

Fourier seriesGreen functiondissipative models

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15)

Related Items (9)

ON FAST AND SLOW TIMES IN MODELS WITH DIFFUSION ⋮ Diffusion effects in a superconductive model ⋮ Existence and uniqueness for some 3rd order dissipative problems with various boundary conditions ⋮ On exponentially shaped Josephson junctions ⋮ On asymptotic effects of boundary perturbations in exponentially shaped Josephson junctions ⋮ A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem ⋮ On the transition from parabolicity to hyperbolicity for a nonlinear equation under Neumann boundary conditions ⋮ Existence and uniqueness of solutions of a class of third order dissipative problems with various boundary conditions describing the Josephson effect ⋮ A phase-change problem for an extended heat conduction model

Cites Work

• Numerical evidence for global bifurcations leading to switching phenomena in long Josephson junctions
• Hyperbolicity and change of type in the flow of viscoelastic fluids
• Existence, uniqueness and stability of solutions of a class of nonlinear partial differential equations
• Decay, growth, continuous dependence and uniqueness results in generalized heat conduction theories
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