Computational Fluid Dynamics of the Flow of the Deformable Toroidal Embolic Agents Within Straight and Stenotic Pipes by Full Eulerian FSI Method. [PDF]
Int J Numer Method Biomed EngWe numerically analyzed the flow and deformation of a toroidal embolic agent in straight and stenotic pipes with full Eulerian fluid‐structure interaction. The fluid passes through the hole of the torus, and the deformation is categorized into three deformation modes such as bending, rotation, and elongation.
Matsumiya K +4 more
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Exploring Gas Evolution Oscillators: Mechanisms and Applications. [PDF]
ChemphyschemExplore the rhythms of gas evolution oscillators, i. e. systems showing oscillatory delivery of gas sustained by simple reactions yielding gaseous products in a liquid mixture, due to nucleation and supersaturation phenomena. We delve into their mechanisms and their potential to control chemical processes, with a focus on sustainable energy ...
Budroni MA, Rustici M, Rossi F.
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Principal Solutions Revisited [PDF]
, 2015 The main objective of this paper is to identify principal solutions associated with Sturm-Liouville operators on arbitrary open intervals $(a,b) \subseteq \mathbb{R}$, as introduced by Leighton and Morse in the scalar context in 1936 and by Hartman in ...
Clark, Stephen +2 more
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Improved iterative oscillation tests for first-order deviating differential equations [PDF]
Opuscula Mathematica, 2018 In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients.
George E. Chatzarakis, Irena Jadlovská
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Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations [PDF]
Opuscula Mathematica, 2023 We consider the half-linear differential equation \[(|x'|^{\alpha}\mathrm{sgn}\,x')' + q(t)|x|^{\alpha}\mathrm{sgn}\,x = 0, \quad t \geq t_{0},\] under the condition \[\lim_{t\to\infty}t^{\alpha}\int_{t}^{\infty}q(s)ds = \frac{\alpha^{\alpha}}{(\alpha+1)^
Manabu Naito
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A note on the existence of solutions with prescribed asymptotic behavior for half-linear ordinary differential equations [PDF]
Mathematica BohemicaThe half-linear differential equation (|u'|^{\alpha}{\rm sgn} u')' = \alpha(\lambda^{\alpha+ 1} + b(t))|u|^{\alpha}{\rm sgn} u, \quad t \geq t_0, is considered, where $\alpha$ and $\lambda$ are positive constants and $b(t)$ is a real-valued ...
Manabu Naito
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On nonoscillatory solutions of a nonlinear differential equation [PDF]
Proceedings of the American Mathematical Society, 1972 Sufficient conditions are given which insure that all nonoscillatory solutions of (p(t)x')'+h(x)x'+q(t)g(x) =f (t) tend to zero as t tends to infinity. In this paper we examine the behavior of the nonoscillatory solutions of the equation (1) (p(t)x')' + h(x)x' + q(t)g(x) = f(t) where p, q, andf are real valued and continuous for t >0 and h and g are ...
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Oscillation of the per capita growth rate
مجلة بغداد للعلوم, 2005 in this paper cquations of the per capita growth rate are considered sufficient conditions for oscillation of all solutions are obtained the asymptotie behavior of the nonoscillatory solution of all souliotions are ...
Baghdad Science Journal
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A Nonoscillatory Second-Order Time-Stepping Procedure for Reaction-Diffusion Equations
Complexity, 2020 After a theory of morphogenesis in chemical cells was introduced in the 1950s, much attention had been devoted to the numerical solution of reaction-diffusion (RD) partial differential equations (PDEs).
Philku Lee +2 more
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Oscillations of equations caused by several deviating arguments [PDF]
Opuscula Mathematica, 2019 Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given.
George E. Chatzarakis
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