Asymptotic Solutions for High Frequency Helmholtz Equations in Anisotropic Media with Hankel Functions
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DOI: 10.1007/s10915-019-00957-8
Abstract: We present asymptotic methods for solving high frequency Helmholtz equations in anisotropic media. The methods are motivated by Babich’s expansion that uses Hankel functions of the first kind to approximate the solution of high frequency… read more here.
Keywords: helmholtz equations; frequency helmholtz; high frequency; anisotropic media ... See more keywords
Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights
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DOI: 10.1017/s0013091523000202
Abstract: The main purpose of this paper is to capture the asymptotic behaviour for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two power-type weights of different dimensions… read more here.
Keywords: parabolic equations; equations anisotropic; nonlinear elliptic; anisotropic weights ... See more keywords
Covariant Tolman-Oppenheimer-Volkoff equations. II. The anisotropic case
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DOI: 10.1103/physrevd.97.124057
Abstract: We generalise the covariant Tolman-Oppenheimer-Volkoff equations proposed in arXiv:1709.02818 [gr-qc] to the case of static and spherically symmetric spacetimes with anisotropic sources. The extended equations allow a detailed analysis of the role of the anisotropic… read more here.
Keywords: covariant tolman; case; tolman oppenheimer; equations anisotropic ... See more keywords