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Mathematics

Mathematics

Recent Submissions

  • Lee, Eunghyun (MDPI, 2021-08-27)
    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 ...
  • Merembayev, Timur; Kurmangaliyev, Darkhan; Bekbauov, Bakhbergen; Amanbek, Yerlan (MDPI AG, 2021-03-29)
    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 ...
  • Razeghiyadaki, Amin; Wei, Dongming; Perveen, Asma; Zhang, Dichuan (MDPI AG, 2021-06-10)
    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 ...
  • Kurmanbek, Bakytzhan; Erlangga, Yogi; Amanbek, Yerlan (Elsevier B.V., 2021-06-08)
    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 ...
  • Castro, Alejandro J.; Israelsson, Anders; Staubach, Wolfgang (Birkhauser, 2021-06-05)
    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 ...
  • Begehr, Heinrich; Shupeyeva, Bibinur (Birkhauser, 2021-07-07)
    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 ...
  • Razeghiyadaki, Amin; Zhang, Dichuan; Wei, Dongming; Perveen, Asma (Processes, 2020-08)
    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 ...
  • Amangeldi, Medeu; Wei, Dongming; Perveen, Asma; Zhang, Dichuan (Processes, 2020-10)
    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 ...
  • Kashkynbayev, Ardak; Koptleuova, Daiana (AIMS Press, 2020-06-05)
    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, ...
  • Kozybayeva, Kymbat (Nazarbayev University School of Sciences and Humanities, 2021-05)
    In the financial market, there is always an unexpected issue between measures of dif ferent obligations, stocks, currency. Big financial companies before doing investments are highly interested in exploring the behavior ...
  • Biyar, Magzhan (Nazarbayev University School of Sciences and Humanities, 2021-05)
    This thesis is devoted to the study of a nonlinear diffusion equation. We have to prove that the Cauchy problems for a molecular beam epitaxy (MBE) equation with slope selection is locally well-posed for initial data in 𝑊...
  • Kozybayeva, Kymbat (Nazarbayev University School of Sciences and Humanities, 2021-05)
    In the financial market, there is always an unexpected issue between measures of dif ferent obligations, stocks, currency. Big financial companies before doing investments are highly interested in exploring the behavior ...
  • Ashimov, Temirlan (Nazarbayev University School of Sciences and Humanities, 2021-05)
    In the Data Science routine, we often face the curse of dimensionality, dealing with high-dimensional data which, in turn, can be very difficult. The problems of this nature can be approached by methods of Dimensionality ...
  • Bazarkhanova, Aigerim (Nazarbayev University School of Sciences and Humanities, 2021-05-13)
    The Dirac equation plays a fundamental role in quantum physics and its exact solutions are of utmost importance. In this study we solved Linear and Nonlin ear Dirac equation in (1+1) dimension and obtained analytical ...
  • Kashkynbayev, Ardak; Amanbek, Yerlan; Shupeyeva, Bibinur; Kuang, Yang (AIMS Press, 2020-10-23)
    Mathematical modeling for cancerous disease has attracted increasing attention from the researchers around the world. Being an effective tool, it helps to describe the processes that happen to the tumour as the diverse ...

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