scholarly journals On a variant of Newton-Coulomb's law

2020 ◽  
Author(s):  
Alain Haraux
Keyword(s):  
Asymptotic Behavior ◽  
Time Scale ◽  
Large Time ◽  
Asymptotic Behavior Of Solutions ◽  
Logarithmic Term ◽  
Mass Problem ◽  
Electrostatic Fields ◽  
Coulomb's Law ◽  
Bounded Trajectories ◽  
Large Time Scale

A variant of the usual formulas for gravitational and electrostatic fields, differing from those by a logarithmic term, is introduced in order to solve some questions connected with a possible atomic contraction phenomenon at large time scale and the so-called hidden mass problem in cosmology. This approach is conceptuallly related to the MOND theory of M. Milgrom but allows a reversal of attracting forces when the distance becomes very small. The asymptotic behavior of solutions of a related dissipative ODE is studied, we obtain that all bounded trajectories converge to a point where the field vanishes.

scholarly journals Coarse-Grained Models of RNA Nanotubes for Large Time Scale Studies in Biomedical Applications

Biomedicines ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 195 ◽  
Author(s):  
Shyam Badu ◽  
Sanjay Prabhakar ◽  
Roderick Melnik
Keyword(s):  
Physical Properties ◽  
Time Scale ◽  
Biomedical Applications ◽  
Md Simulation ◽  
Large Time ◽  
Coarse Grained ◽  
Dihedral Angles ◽  
Computation Cost ◽  
In Series ◽  
Large Time Scale

In order to describe the physical properties of large time scale biological systems, coarse-grained models play an increasingly important role. In this paper we develop Coarse-Grained (CG) models for RNA nanotubes and then, by using Molecular Dynamics (MD) simulation, we study their physical properties. Our exemplifications include RNA nanotubes of 40 nm long, equivalent to 10 RNA nanorings connected in series. The developed methodology is based on a coarse-grained representation of RNA nanotubes, where each coarse bead represents a group of atoms. By decreasing computation cost, this allows us to make computations feasible for realistic structures of interest. In particular, for the developed coarse-grained models with three bead approximations, we calculate the histograms for the bond angles and the dihedral angles. From the dihedral angle histograms, we analyze the characteristics of the links used to build the nanotubes. Furthermore, we also calculate the bead distances along the chains of RNA strands in the nanoclusters. The variations in these features with the size of the nanotube are discussed in detail. Finally, we present the results on the calculation of the root mean square deviations for a developed RNA nanotube to demonstrate the equilibration of the systems for drug delivery and other biomedical applications such as medical imaging and tissue engineering.

scholarly journals Asymptotics for the Ostrovsky-Hunter Equation in the Critical Case

2017 ◽  
Vol 2017 ◽  
pp. 1-21
Author(s):  
Fernando Bernal-Vílchis ◽  
Nakao Hayashi ◽  
Pavel I. Naumkin
Keyword(s):  
Cauchy Problem ◽  
Asymptotic Behavior ◽  
Pseudodifferential Operator ◽  
Critical Case ◽  
Large Time ◽  
Asymptotic Behavior Of Solutions ◽  
The Cauchy Problem ◽  
Time Existence ◽  
Time Asymptotic Behavior

We consider the Cauchy problem for the Ostrovsky-Hunter equation ∂x∂tu-b/3∂x3u-∂xKu3=au, t,x∈R2,  u0,x=u0x, x∈R, where ab>0. Define ξ0=27a/b1/4. Suppose that K is a pseudodifferential operator with a symbol K^ξ such that K^±ξ0=0, Im K^ξ=0, and K^ξ≤C. For example, we can take K^ξ=ξ2-ξ02/ξ2+1. We prove the global in time existence and the large time asymptotic behavior of solutions.

scholarly journals Asymptotic Behavior of Solutions to Fast Diffusive Non-Newtonian Filtration Equations Coupled by Nonlinear Boundary Sources

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Wang Zejia ◽  
Wang Shunti ◽  
Zhang Chengbin
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Nonlinear Boundary ◽  
Large Time ◽  
Large Time Behavior ◽  
Asymptotic Behavior Of Solutions ◽  
Time Behavior ◽  
Multidimensional Problem ◽  
Critical Curves

This paper is concerning the asymptotic behavior of solutions to the fast diffusive non-Newtonian filtration equations coupled by the nonlinear boundary sources. We are interested in the critical global existence curve and the critical Fujita curve, which are used to describe the large-time behavior of solutions. It is shown that the above two critical curves are both the same for the multidimensional problem we considered.

Analysis on Variability of Buzau River Monthly Discharges

2018 ◽  
Vol 20 (1) ◽  
pp. 51-56 ◽  
Author(s):  
Cristina Amalia Mocanu-Vargancsik ◽  
Alina Barbulescu
Keyword(s):  
Water Flow ◽  
Time Scale ◽  
Large Time ◽  
The Impact ◽  
Over Time ◽  
Large Time Scale

Abstract The purpose of this article is analysing the variability of Buzau river monthly mean discharges, maximum and minimum over time and the impact of Siriu Dam on these discharges. Keeping a stable, moderate variability on the water flow has a significant importance, as this assures normality of life and functionality of the dams. On another hand, the dams are in-built with a range of parameters, decided according to this variability of the discharges. The used data has been collected from Nehoiu and Basca Roziliei hydrometric stations and spans on 55 years, from 1st January 1955 to 31st December 2010. Mid-period, on 30th September 1984, Siriu Dam started operating and the results reveal that its impact on the variability has been moderate on a large time scale. Important changes appear on smaller time scale, as months. The results are supported by graphs drawn in Excel and methods embedded by software.

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