The Spectrum of a Family of Fourth-Order Nonlinear Diffusions Near the Global Attractor
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Publication:5246644
DOI10.1080/03605302.2014.963605zbMath1323.35062arXiv1311.6525OpenAlexW2089248200MaRDI QIDQ5246644
Robert J. McCann, Christian Seis
Publication date: 21 April 2015
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.6525
self-similaritygradient flowspectral analysislarge time asymptoticsthin film equationfourth-order degenerate equation
Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Asymptotic expansions of solutions to PDEs (35C20) Higher-order parabolic equations (35K25)
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Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ Gradient flow structure of a multidimensional nonlinear sixth-order quantum-diffusion equation ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ Invariant manifolds for the thin film equation ⋮ The stochastic thin-film equation: existence of nonnegative martingale solutions ⋮ Stability of receding traveling waves for a fourth order degenerate parabolic free boundary problem ⋮ The thin-film equation close to self-similarity ⋮ A family of fourth-order \(q\)-logarithmic equations ⋮ Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation ⋮ Null-controllability of perturbed porous medium gas flow
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