Existence and uniqueness for some 3rd order dissipative problems with various boundary conditions

DOI10.1007/s10440-012-9741-zzbMath1257.35077OpenAlexW2061205087MaRDI QIDQ1928076

Yanyan Li

Publication date: 2 January 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9741-z

zbMATH Keywords

quasilinear equationnonautonomous systemspseudoperiodic boundary conditions

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Linear constitutive equations for materials with memory (74D05) Nonautonomous smooth dynamical systems (37C60) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (6)

Diffusion effects in a superconductive model ⋮ 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 ⋮ A priori estimates for solutions of FitzHugh-Rinzel system ⋮ On the transition from parabolicity to hyperbolicity for a nonlinear equation under Neumann boundary conditions ⋮ Asymptotic effects of boundary perturbations in excitable systems

Cites Work

• Unnamed Item
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• Existence and uniqueness of solutions of a class of third order dissipative problems with various boundary conditions describing the Josephson effect
• Existence, uniqueness and a priori estimates for a nonlinear integro-differential equation
• Blowup for nonlinear hyperbolic equations
• Nonlinear science at the dawn of the 21st century
• On a Model of Superconductivity and Biology
• Wave propagation in rods of Voigt material and visco-elastic materials with three-parameter models
• Possible new effects in superconductive tunnelling
• Decay, growth, continuous dependence and uniqueness results in generalized heat conduction theories
• Stability properties for some non-autonomous dissipative phenomena proved by families of Liapunov functionals
• Asymptotic analysis for the strip problem related to a parabolic third-order operator

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