Special functions arising in the study of semi-linear equations in circular domains

DOI10.1016/j.cam.2005.10.040zbMath1125.33001OpenAlexW2032727088MaRDI QIDQ875354

Vladimir V. Varlamov

Publication date: 13 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.10.040

zbMATH Keywords

asymptoticsrepresentationCahn-Hilliard equationConvolutions of Rayleigh functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Applications of hypergeometric functions (33C90) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• Forced nonlinear oscillations of elastic membranes
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Coarsening dynamics of the convective Cahn-Hilliard equation
• Convolution of Rayleigh functions with respect to the Bessel index
• Convolution formulae for functions of Rayleigh type
• Nonlinear Heat Equation with a Fractional Laplacian in a Disk
• The zeta function constructed from the zeros of the Bessel function
• Riccati equations and convolution formulae for functions of Rayleigh type
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Sum rules for zeros of Bessel functions and an application to spherical Aharonov-Bohm quantum bags
• The Rayleigh Function
• On the spatially two-dimensional Boussinesq equation in a circular domain
• Dynamics of evolutionary equations

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