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Finite Diffeomorphism Types of Four Dimensional Ricci Flow with Bounded Scalar Curvature
In this paper, we consider Ricci flow on four dimensional closed manifold with bounded scalar curvature, noncollas** volume and bounded diameter....
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Autoregulation of Transcription and Translation: A Qualitative Analysis
The regulation of both mRNA transcription and translation by down-stream gene products allows for a range of rich dynamical behaviours (e.g....
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Initial boundary value problem for a viscoelastic wave equation with Balakrishnan–Taylor dam** and a delay term: decay estimates and blow-up result
In this paper, we study the initial boundary value problem for the following viscoelastic wave equation with Balakrishnan–Taylor dam** and a delay...
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The boundary Schwarz lemma and the rigidity theorem on Reinhardt domains B
p n of ℂnBy introducing the Carathéodory metric, we establish the Schwarz lemma at the boundary for holomorphic self-map**s on the unit p -ball B
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On a two-dimensional fractional thermoelastic system with nonlocal constraints describing a fractional Kirchhoff plate
We show herein the existence and uniqueness of solutions for coupled fractional order partial differential equations modeling a thermoelastic...
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Estimates of the Distance to the Solution of an Evolutionary Problem Obtained by Linearization of the Navier–Stokes Equation
The paper is concerned with linearization of the Navier–Stokes equation in the space-time cylinder Q T . The main goal is to deduce computable...
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Theory of Sobolev Spaces
Under this type of derivative, distributions have derivatives of all orders. Another generalization of differentiation is proposed for locally... -
Unconditionally convergence and superconvergence error analysis of a mass- and energy-conserved finite element method for the Schrödinger–Poisson equation
This paper aims to investigate the unconditionally optimal and superconvergent error estimates of a mass- and energy-conserved finite element method...
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On the Stability of Stationary States in Diffusion Models in Biology and Humanities
AbstractWe consider an initial-boundary value problem for the system of partial differential equations describing processes of growth and spread of...
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Variational Statements and Discretization of the Boundary-Value Problem of Elasticity Where Stress at the Boundary is Known
The equations of elastic equilibrium of bodies in displacements with the stresses specified at the surface of the body are considered. Such a problem...
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Improved Bounds in Stein’s Method for Functions of Multivariate Normal Random Vectors
In a recent paper, Gaunt (Ann I H Poincare Probab Stat 56:1484–1513, 2020) extended Stein’s method to limit distributions that can be represented as...
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Existence of Optical Vortex Solitons in Pair Plasmas
Optical vortices arise as phase dislocations of light fields and they are of importance in modern optical physics. In this study, we employ the...
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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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The global existence of strong solutions to thermomechanical Cucker-Smale-Stokes equations in the whole domain
We study the global existence and uniqueness of a strong solution to the kinetic thermomechanical Cucker-Smale (for short, TCS) model coupled with...