Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Eastham, P. S."'
An axisymmetric squirmer in a Bingham viscoplastic fluid is studied numerically to determine the effect of a yield stress environment on locomotion. The nonlinearity of the governing equations necessitates numerical methods, which is accomplished by
Externí odkaz:
http://arxiv.org/abs/2207.07744
We formulate a model for the dynamic growth of a membrane developing in a flow as the result of a precipitation reaction, a situation inspired by recent microfluidic experiments. The precipitating solid introduces additional forces on the fluid and e
Externí odkaz:
http://arxiv.org/abs/1906.04216
Autor:
Eastham, Patrick S., Shoele, Kourosh
Publikováno v:
Phys. Rev. Fluids 5, 063102 (2020)
The ciliary locomotion and feeding of an axisymmetric micro-swimmer in a complex fluid whose viscosity depends on nutrient concentration are investigated numerically. The micro-swimmer is modeled as having spheroidal geometry, and ciliary beating is
Externí odkaz:
http://arxiv.org/abs/1904.01946
Autor:
Brown, B. M., Eastham, M. S. P.
We are concerned with the Sturm-Liouville problem on the half line. We show that when the potential $q$ is subject only to power decay at infinity the $L^2$ solution may be continued into a sector of the so-called un-physical sheet. This gives rise t
Externí odkaz:
http://arxiv.org/abs/math/0006064
We consider the spectral function $\rho(\mu)$ $(\mu \geq 0)$ for the Sturm-Liouville equation $y^{''}+(\lambda-q)y =0$ on $[0,\infty)$ with the boundary condition $y(0)=0$ and where $q$ has slow decay $O(x^{-\alpha})$ $(a>0)$ as $x\to \infty$. We dev
Externí odkaz:
http://arxiv.org/abs/math/9805025
Publikováno v:
Math. Proc. Camb. Phil. Soc. (1997), 121, pp 495 - 517
This paper reports on recent work to compute the asymptotic solution of a n-th order ordinary differential equation. Symbolic methods are used to compute the asymptotics over a large region. Application is made to the computation of the Titchmarsh-We
Externí odkaz:
http://arxiv.org/abs/math/9801053
This paper is part of a series of papers in which the asymptotic theory and appropriate symbolic computer code are developed to compute the asymptotic expansion of the solution of an n-th order ordinary differential equation. The paper examines the s
Externí odkaz:
http://arxiv.org/abs/math/9801056
Publikováno v:
J. Symbolic Computation (1997) 23,119-131
This paper reports on a new algorithm to compute the asymptotic solutions of a linear differential system. A feature of the algorithm is the ability to accommodate periodic coefficients.
Externí odkaz:
http://arxiv.org/abs/math/9801055
The paper reports on computation of verified enclosures for the Titchmarsh-Weyl m-function. It examines some cases in which Lohner's AWA algorithm must be suplimented by mathematical analysis.
Externí odkaz:
http://arxiv.org/abs/math/9801012
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