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Higher-Order Network Interactions Through Phase Reduction for Oscillators with Phase-Dependent Amplitude
Coupled oscillator networks provide mathematical models for interacting periodic processes. If the coupling is weak, phase reduction—the reduction of...
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Smooth Subsonic and Transonic Spiral Flows with Nonzero Vorticity to Steady Euler–Poisson System in Concentric Cylinders
Both smooth subsonic and transonic spiral flows to steady Euler–Poisson system with nonzero angular velocity and vorticity in a concentric cylinder...
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The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane
In this paper, the notion of the catenary curve in the sphere and in the hyperbolic plane is introduced. In both spaces, a catenary is defined as the...
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Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing
We study solutions to a recently proposed neural field model in which dendrites are modelled as a continuum of vertical fibres stemming from a...
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Optimal Reconstruction of Vector Fields from Data for Prediction and Uncertainty Quantification
Predicting the evolution of dynamics from a given trajectory history of an unknown system is an important and challenging problem. This paper...
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The Discrete Nonlinear Schrödinger Equation with Linear Gain and Nonlinear Loss: The Infinite Lattice with Nonzero Boundary Conditions and Its Finite-Dimensional Approximations
The study of nonlinear Schrödinger-type equations with nonzero boundary conditions introduces challenging problems both for the continuous (partial...
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Finite Time Blow-Up and Chemotactic Collapse in Keller–Segel Model with Signal Consumption
The occurrence of finite time blow-up phenomenon in the Keller–Segel (KS) model has always been a significant area of interest for mathematicians....
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Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats
In this paper, we study the existence of spread speeds and periodic traveling waves for a class of space–time periodic and degenerate cooperative...
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The action mechanism of the work done by the electric field force on moving charges to stimulate the emergence of carrier generation/recombination in a PN junction
It is discovered that the product of the current and the electric field in a PN junction should be regarded as the rate of work (power) done by the...
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A vertical track nonlinear energy sink
Eliminating the effects of gravity and designing nonlinear energy sinks (NESs) that suppress vibration in the vertical direction is a challenging...
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Mathematical modeling and simulations of stress mitigation by coating polycrystalline particles in lithium-ion batteries
A chemo-mechanical model is developed to investigate the effects on the stress development of the coating of polycrystalline Ni-rich LiNi x Mn y Co z O 2 ( x ...
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Lattice Boltzmann method formulation for simulation of thermal radiation effects on non-Newtonian Al2O3 free convection in entropy determination
The simultaneous investigation on the parameters affecting the flow of electrically conductive fluids such as volumetric radiation, heat absorption,...
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Size-dependent thermomechanical vibration characteristics of rotating pre-twisted functionally graded shear deformable microbeams
A three-dimensional (3D) thermomechanical vibration model is developed for rotating pre-twisted functionally graded (FG) microbeams according to the...
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Near resonance vibration isolation on a levered-dual response (LEDAR) Coulomb-damped system by differential preloads/offsets in linear springs
The levered-dual response (LEDAR) Coulomb-damped system attains near resonant vibration isolation by differential preloads/offsets in linear springs....
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Strong shock propagation for the finite-source circular blast in a confined domain
The circular explosion wave produced by the abrupt discharge of gas from a high-temperature heat source serves as a crucial model for addressing...
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Enhanced entropy generation and heat transfer characteristics of magnetic nano-encapsulated phase change materials in latent heat thermal energy storage systems
The objective of the current study is to investigate the importance of entropy generation and thermal radiation on the patterns of velocity,...
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Dynamics of a rotating ring-stiffened sandwich conical shell with an auxetic honeycomb core
The free vibration analysis of a rotating sandwich conical shell with a reentrant auxetic honeycomb core and homogenous isotropic face layers...
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Transfer matrix method for free and forced vibrations of multi-level functionally graded material stepped beams with different boundary conditions
Functionally graded materials (FGMs) are a novel class of composite materials that have attracted significant attention in the field of engineering...
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Nonuniqueness of Generalised Weak Solutions to the Primitive and Prandtl Equations
We develop a convex integration scheme for constructing nonunique weak solutions to the hydrostatic Euler equations (also known as the inviscid...