Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Fracture Mechanics"
DOI: 10.1016/j.engfracmech.2018.05.002
Abstract: Abstract An asymptotic solution for interface crack between mismatched materials that obey a special form of linear isotropic strain gradient elasticity under conditions of plane strain is developed. It is shown that the asymptotic solution… read more here.
Keywords: asymptotic solution; gradient elasticity; interface crack; interface ... See more keywords
Asymptotic solution to the viscous/inertial flow in wavy channels with permeable walls
Sign Up to like & getrecommendations! Published in 2018 at "Physics of Fluids"
DOI: 10.1063/1.5041748
Abstract: Flow in a wavy channel immersed in the porous medium can be described neither as the flow in porous media nor as the flow in a regular pipe. The flow through the walls and the… read more here.
Keywords: flow wavy; asymptotic solution; channel; geometry ... See more keywords
Multiple eigenmodes of the Rayleigh-Taylor instability observed for a fluid interface with smoothly varying density. II. Asymptotic solution and its interpretation.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.013109
Abstract: It was observed in the first part of this work [C. X. Yu et al., Phys. Rev. E 97, 013102 (2018)2470-004510.1103/PhysRevE.97.013102] that a Rayleigh-Taylor flow with a smoothly varying density at the interface permits a… read more here.
Keywords: instability; multiple; interface; asymptotic solution ... See more keywords
Asymptotic Solution of Coefficient Inverse Problems for Burgers-Type Equations
Sign Up to like & getrecommendations! Published in 2020 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542520060123
Abstract: For a singularly perturbed reaction–diffusion–advection equation, called in applications a Burgers-type equation and having a time-periodic solution with an internal transition layer, asymptotic analysis is used to solve some inverse problems of reconstructing model parameters… read more here.
Keywords: solution coefficient; asymptotic solution; solution; inverse problems ... See more keywords
Asymptotic Solution of a Singularly Perturbed Integro-Differential Equation with Exponential Inhomogeneity
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DOI: 10.3390/axioms12030241
Abstract: The integro-differential Cauchy problem with exponential inhomogeneity and with a spectral value that turns zero at an isolated point of the segment of the independent variable is considered. The problem belongs to the class of… read more here.
Keywords: problem; asymptotic solution; inhomogeneity; equation ... See more keywords
Projector Approach to Constructing Asymptotic Solution of Initial Value Problems for Singularly Perturbed Systems in Critical Case
Sign Up to like & getrecommendations! Published in 2019 at "Axioms"
DOI: 10.3390/axioms8020056
Abstract: Under some conditions, an asymptotic solution containing boundary functions was constructed in a paper by Vasil’eva and Butuzov (Differ. Uravn. 1970, 6(4), 650–664 (in Russian); English transl.: Differential Equations 1971, 6, 499–510) for an initial… read more here.
Keywords: approach; case; asymptotic solution; initial value ... See more keywords