Journal of Nonlinear Mathematical Physics最新文献

This paper deals with a fully parabolic indirect pursuit–evasion predator–prey system with density-dependent diffusion (u_{t}=Delta (psi _1(w)u)+u(lambda -u+alpha v), v_{t}=Delta (psi _2(z) v)+v(mu -v-beta u), w_{t}=Delta w -w+v, z_{t}=Delta z-z+u) under a smooth bounded domain (Omega subset {mathbb{R}}^2) with homogeneous Neumann boundary conditions, where the parameters (lambda , mu , alpha) and (beta) are assumed to be positive. Through the establishment of appropriate conditions for the density-dependent diffusion functions (psi _1(w)) and (psi _2(z),) it is revealed that a unique classical solution exists for the corresponding initial-boundary problem, which remains uniformly bounded over time.

In the present paper, we introduce a class of F-stochastic operators on a finite-dimensional simplex, each of which is regular, ascertaining that the species distribution in the succeeding generation corresponds to the species distribution in the previous one in the long run. It is proposed a new scheme to define non-homogeneous Markov chains contingent on the F-stochastic operators and given initial data. By means of the uniform ergodicity of the non-homogeneous Markov chain, we define a non-homogeneous (quantum) entangled Markov chain. Furthermore, it is established that the non-homogeneous entangled Markov chain enables (psi)-mixing property.

This study focuses on the integrability and qualitative behaviors of a quadratic differential system

We provide some new perspectives on the system and reveal its diverse properties, including non-integrability in the sense of absence of first integrals, bifurcations of co-dimension one or two, Jacobi instability and dynamics at infinity.

In this paper, we investigate the generalized Ito equation. By using the truncated Painlevé analysis method, we successfully derive its nonlocal symmetry and Bäcklund transformation, respectively. By introducing new dependent variables for the nonlocal symmetry, we find the corresponding Lie point symmetry. Moreover, we construct the interaction solution between soliton and cnoidal periodic wave of the equation by considering the consistent tanh expansion method. The conservation laws of the equation are also obtained with a detailed derivation.

In the present work we introduced and analyzed the most basic transmission SEI (susceptible-exposed-infective) model for a directly transmitted infectious disease caused by Coronavirus disease 2019 (COVID-19). The SEI model is modeling as a Markov chain and we computed a closed form formula of the mean first passage times (MFPT’s) vector arising from non-homogeneous Markov chain random walk (NHMC-RW) on the non-negative integers. Some particular cases, which lead to a relationship between the elements of the MFPT’s vectors. An efficient algorithm applied on mathematica program for computing MFPT’s vector of the NHMC-RW is given.

Nanofluids have gained popularity due to their better thermophysical properties and usefulness in daily life such as electronic design, solar energy, heat exchanger tubes, and cooling systems, among others. We have looked at the influence of thermal radiation, Cattaneo-Christov heat flux, and slippage on three-dimensional flow of MHD nanofluid along a surface which is stretched/shrinks in both directions in this study. The transformed ordinary differential equations are solved analytically, using homotopy analysis technique. A graphical analysis for the flows for numerous physical features has been presented. It has been observed that the fluids axial and transverse velocities are decreased by the magnetic field parameter, the suction/injection parameter, as well as by the slip parameter for stretching, whereas for shrinking, they are increased. The radiation parameter, heat transfer Biot number, and thermal relaxation parameter increases the nanofluids temperature. Bar charts were also used to evaluate how the physical parameters affect the skin friction coefficient and Nusselt number.

This study aims to employ numerical simulations to understand the dynamics of wind fields and air pollutant dispersion in the proximity of a nuclear plant, situated within a specified urban environment. By leveraging computational fluid dynamics (CFD) combined with geographical information system (GIS) data, the research comprehensively models atmospheric interactions in terms of wind flow patterns, building-induced pressure variances, and pollutant trajectories. The computational domain extends over an area of (8.8,textrm{km} times 8.4,textrm{km}), vertically stretching to 0.5 km. The wind and pollutant distribution equations are discretized using the finite volume method, providing detailed insights into fluid interactions with urban topographies. Key findings highlight the profound influences of terrain, urban structures, and wind flow behavior on the dispersion of radioactive aerosols, shedding light on potential risks and safety protocols for nuclear plant environments.

In this paper, we study the blow-up solutions for the (L^2)-supercritical nonlinear Schrödinger equation with a repulsive harmonic potential. In terms of the new sharp Gagliardo–Nirenberg inequality proposed by Weinstein (Commun PDE 11:545–565, 1986), we obtain the ({dot{H}}^{s_c})-concentration phenomenon of blow-up solutions for this (L^2)-supercritical nonlinear Schrödinger equation in the space dimension (N=2,3,4).

In this paper, we present a fresh perspective on the fractional power of the Bessel operator using the Mellin transform. Drawing inspiration from the work of Pagnini and Runfola, we develop a new approach by employing Tato’s type lemma for the Hankel transform. As an application, we establish a new intertwining relation between the fractional Bessel operator and the fractional second derivative, emphasizing the important role of the Mellin transform in the domain of fractional calculus associated with the Bessel operator.

In this paper, we obtain weighted Sobolev type inequalities with explicit constants that extend the inequalities obtained by Guo et al. (Math Res Lett 28(5):1419–1439, 2021) in the Riemannian setting. As an application, we prove some new logarithmic Sobolev type inequalities in some smooth metric measure spaces.