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Browsing Articles by Subject "Research Subject Categories::MATHEMATICS"

Now showing items 1-8 of 8

Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups

Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa (Springer, 2020-06-10)

In this paper we describe the Euler semigroup {e−tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, ...
Existence of self-similar solutions of the two-dimensional Navier–Stokes equation for non-Newtonian fluids

Wei, Dongming; Al-Ashhab, Samer (Elsevier, 2019-04-20)

The reduced problem of the Navier–Stokes and the continuity equations, in two-dimensional Cartesian coordinates with Eulerian description, for incompressible non-Newtonian fluids, is considered. The Ladyzhenskaya model, ...
EXISTENCE OF TRAVELING WAVE SOLUTIONS TO DATA-DRIVEN GLIOBLASTOMA MULTIFORME GROWTH MODELS WITH DENSITY-DEPENDENT DIFFUSION

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 ...
EXPLICIT DETERMINANTAL FORMULA FOR A CLASS OF BANDED MATRICES

Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António (De Gruyter Open, 2020)

In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
FACTORING WITH HINTS

Sica, Francesco (De Gruyter, 2020-11-17)

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 ...
GEOMETRIC HARDY AND HARDY-SOBOLEV INEQUALITIES ON HEISENBERG GROUPS

Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (SpringerOpen, 2020-07-04)

In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group ...
GLOBAL DYNAMICS OF TICK-BORNE DISEASES

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 ...
Qualitative Study of a Well-Stirred Isothermal Reaction Model

Arcet, Barbara; Dukarić, Maša; Kadyrsizova, Zhibek (MDPI, 2020-06-08)

We consider a two-dimensional system which is a mathematical model for a temporal evolution of a well-stirred isothermal reaction system. We give sufficient conditions for the existence of purely imaginary eigenvalues of ...