Park, Seongyong; Lee, Jaeseok; Khan, Shujaat; Wahab, Abdul; Kim, Minseok(MDPI AG, 2021-11-30)
Surface-Enhanced Raman Spectroscopy (SERS)-based biomolecule detection has been
a challenge due to large variations in signal intensity, spectral profile, and nonlinearity. Recent
advances in machine learning offer great ...
Fernandez, Arran; Restrepo, Joel E.; Suragan, Durvudkhan(Alexandria Engineering Journal, 2021-10-27)
Fractional differential equations with constant coefficients can be readily handled by a
number of methods, but those with variable coefficients are much more challenging. Recently, a
method has appeared in the literature ...
Park, Seongyong; Lee, Jaeseok; Khan, Shujaat; Wahab, Abdul; Kim, Minseok(MDPI, 2021-11-30)
Surface-Enhanced Raman Spectroscopy (SERS)-based biomolecule detection has been a challenge due to large variations in signal intensity, spectral profile, and nonlinearity. Recent advances in machine learning offer great ...
Numerical flow simulations play an important role in polymer processing. One of the essential prerequisites for accurate and precise flow simulations is to obtain accurate materials functions. In the framework of the ...
Abstract: In this paper, we study the dynamics of a fractional-order epidemic model with general
nonlinear incidence rate functionals and time-delay. We investigate the local and global stability
of the steady-states. ...
Benekas, Vasileios; Garab, Ábel; Kashkynbayev, Ardak; Stavroulakis, Ioannis P.(AGH University of Science and Technology Press, 2021)
Abstract. We obtain new sufficient criteria for the oscillation of all solutions of linear
delay difference equations with several (variable) finite delays. Our results relax numerous
well-known limes inferior-type ...
Assume that each species l has its own jump rate bl in the multi-species totally asymmetric simple exclusion process. We show that this model is integrable in the sense that the Bethe ansatz method is applicable to obtain ...
Defining distinctive areas of the physical properties of rocks plays an important role in reservoir evaluation and hydrocarbon production as core data are challenging to obtain from all wells. In this work, we study the ...
In the polymer sheet processing industry, the primary objective when designing a coat-hanger die is to achieve a uniform velocity distribution at the exit of the extrusion die outlet. This velocity distribution depends on ...
Sica, Francesco(Journal of Mathematical Cryptology, 2021)
We introduce a new approach to (deterministic) integer factorisation, which could be described in the cryptographically fashionable term of “factoring with hints”: we prove that, for any ϵ > 0, given the knowledge of the ...
This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation. Explicit non-recursive inverse matrix formulas and bounds ...
We prove the global Lp-boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hörmander classes Sρ,δm(Rn) for parameters 0 ≤ ρ≤ 1 ...
There are three basic boundary value problems for the inhomogeneous polyanalytic equation in planar domains, the well-posed iterated Schwarz problem, and further two over-determined iterated problems of Dirichlet and Neumann ...
Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan(Duke University Press, 2020-04-02)
In this paper we present L2
and Lp
versions of the geometric Hardy inequalities in
half-spaces and convex domains on stratifed (Lie) groups. As a consequence, we
obtain the geometric uncertainty principles. We give ...
Benekas, Vasileios; Kashkynbayev, Ardak; Stavroulakis, Ioannis P.(Advances in Difference Equations, 2020)
It is known that all solutions of the difference equation
Δx(n)+p(n)x(n−k)=0,n≥0,
where {p(n)}∞n=0 is a nonnegative sequence of reals and k is a natural number, oscillate if lim infn→∞∑n−1i=n−kp(i)>(kk+1)k+1. In the ...
A coupled surface response optimization method with a three-dimensional finite volume method is adopted in this study to identify five independent geometric variables of the die interior that provides a design with the ...
Flow distribution channels in extrusion dies are typically designed to assure uniform fluid velocity, pressure and temperature in the outlets. To ensure this uniformity, it is desirable to have the fluid melt to reach a ...
A tick-borne disease model is considered with nonlinear incidence rate and piecewise constant delay of generalized type. It is known that the tick-borne diseases have their peak during certain periods due to the life cycle ...
Assaubay, Al-Tarazi; Castro Castilla, Alejandro Javier(Nazarbayev University School of Sciences and Humanities, 2020)
In this research, we study the Penrose instability analysis in the Hirota equation,
which is a higher-order version of Nonlinear Schrödinger equation. We apply the Wigner function to Hirota equation in order to obtain ...
Assaubay, Al-Tarazi(Nazarbayev University School of Sciences and Humanities, 2021-05)
Diffusion-reaction processes in chemical reactors are often modelled by differential
equations of diffusion-reaction type that describe the change in time and space of
concentrations of chemical species. In this work, ...