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Dynamical behavior of a hepatitis B epidemic model and its NSFD scheme
Hepatitis is inflammation of the liver, and one of its types, hepatitis B, is a contagious infection. Using mathematical models, the nature of the...
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To the Calculation of the Map** Degree of Finite Dimensional Vector Field
AbstractIn this paper we propose and justify a new method calculation of the map** degree of n ‑dimensional vector field on the unit sphere of the...
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Uniform Attractors for Non-Autonomous Systems of Nonlinearly Viscous Fluid
AbstractExistence of uniform trajectory and uniform global attractors for an incompressible non-Newtonian fluid (namely, for the mathematical model...
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Boltzmann and Poincaré Entropy, Boltzmann Extremals, and Hamilton–Jacobi Method for Non-Hamiltonian Situation
In this paper, we prove the H -theorem for generalized chemical kinetics equations. We consider the following important physical examples of such a...
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Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator
If the boundary of a domain in three dimensions is smooth enough, then the decay rate of the eigenvalues of the Neumann-Poincaré operator is known...
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Twin Positive Solutions for a Parametric Double Phase Equation with p, q-Growth
We consider a parametric double phase equation with unbalanced growth and a logistic-type reaction. We assume that in the reaction the perturbation...
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Domain Decomposition Algorithms for Neural Network Approximation of Partial Differential Equations
With the success of deep learning technology in many application areas, there have been pioneering approaches to approximate solutions of partial...
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Periodic Solutions in Kolmogorov-Type Predator–Prey Systems
We consider a class of prey-predator models, i.e., a Kolmogorov-type system. We are interested in their dynamics when a certain parameter (that can...
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A Brief Survey on Dimension Estimate of Holomorphic Functions on Kähler Manifolds
We survey on dimension estimate of holomorphic functions on Kähler manifolds with nonnegative curvature.
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Pointwise Fixation along the Edge of a Kirchhoff Plate
We address the Sobolev–Neumann problem for the bi-harmonic equation describing the bending of the Kirchhoff plate with a traction-free edge but fixed...
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The True Story of Quantum Ergodic Theorem
Let M be a smooth compact Riemannian manifold, and $$\Delta...
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Pointwise Space-Time Behavior of a Compressible Navier-Stokes-Korteweg System in Dimension Three
The Cauchy problem of compressible Navier-Stokes-Korteweg system in ℝ 3 is considered here. Due to capillarity effect of material, we obtain the...
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Boundary Regularity for k-Hessian Equations
In this paper we focus on the boundary regularity for a class of k -Hessian equations which can be degenerate and (or) singular on the boundary of the...
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Discrete Dynamical Systems of Lotka–Volterra and Their Applications on the Modeling of the Biogen Cycle in Ecosystem
AbstractInvestigation of many problems of population genetics, epidemiology, ecology, etc. leads to the study of quadratic simplex map**s, a...
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Large Genus Bounds for the Distribution of Triangulated Surfaces in Moduli Space
Triangulated surfaces are compact Riemann surfaces equipped with a conformal triangulation by equilateral triangles. In 2004, Brooks and Makover...
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Derivation of Darcy’s law in randomly perforated domains
We consider the homogenization of a Poisson problem or a Stokes system in a randomly punctured domain with Dirichlet boundary conditions. We assume...