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Theta Functions
When we studied properties of elliptic functions in Section 11.2, we showed that ‘a holomorphic elliptic function is constant’. This means that...
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Spontaneous Periodic Orbits in the Navier–Stokes Flow
In this paper, a general method to obtain constructive proofs of existence of periodic orbits in the forced autonomous Navier–Stokes equations on the...
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Methodology for Designing a Laser-Based Additive Process for the Formation of a Lattice Periodic Structure on the Surface of an Aluminum Alloy Plate
AbstractThe paper presents the results of studying the “directed energy deposition” additive technological process aimed at improving the mechanical...
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Influence of Electromagnetic Field and Thermal Radiation on Pulsatile Blood Flow with Nanoparticles in a Constricted Porous Artery
A theoretical model is proposed to investigate the coupled effects of thermal radiation and electromagnetic field on the blood flow in a stenosed...
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Adaptive Algorithm of Quasi-Stationary Periodic Processes Measurements Control
AbstractThe aim of the work was to create an effective method of control of linear measuring systems functioning in the conditions of the prevailing...
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New Insights into the Peristaltic Flow Behavior of Thermal Nanofluid Systems
This paper aims to provide an effective approach for characterizing peristaltic micro-pumps mechanisms and related phenomena in a biomedical drug...
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On the Motion of a Compressible Viscous Fluid Driven by Time Periodic Inflow/Outflow Boundary Conditions
We consider the barotropic Navier–Stokes system describing the motion of a compressible viscous fluid confined to a bounded domain driven by time...
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General Decay for a Thermoelastic Problem of a Microbeam with Gurtin-Pipkin Thermal Law
In this paper, we study the well-posedness and the asymptotic stability of a one-dimensional thermoelastic microbeam system, where the heat...
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Homogenization results for a class of parabolic equations with a non-local interface condition via time-periodic unfolding
We study the thermal properties of a composite material in which a periodic array of finely mixed perfect thermal conductors is inserted. The...
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Search for Periodic Regimes in an Energy-Harvester Model by Simulation
A model of an energy harvester is considered a system intended for the conversion of residual thermal energy into electric energy. Periodic motions...
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Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion
This paper solves the stability and large-time behavior problem on perturbations near the hydrostatic equilibrium of the two-dimensional Boussinesq...
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A new model for dissipative particle dynamics boundary condition of walls with different wettabilities
The implementation of solid-fluid boundary condition has been a major challenge for dissipative particle dynamics (DPD) method. Current...
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Determination of Thermal Properties of Gold in the Region of Melting–Crystallization Phase Transition: Molecular Dynamics Approach
AbstractMolecular dynamics (MD) modeling of the thermophysical properties of pure metallic gold (Au) and hysteresis is considered in order to study...
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Numerical Simulation of Coupled Electromagnetic and Thermal Problems in Permanent Magnet Synchronous Machines
The main objective of our task is to develop mathematical models, numerical techniques to analyse the thermal effects in electric machines, to...
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Stochastic Properties of Colliding Hard Spheres in a Non-equilibrium Thermal Bath
We consider the problem of describing the dynamics of a test particle moving in a thermal bath using the stochastic differential equations. We...
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An Analytical Study of the Flow and Heat Transfer of Viscoelastic Fluid Between Two Wavy Walls Situated Symmetrically About a Mid Plane
In this work the two dimensional flow and heat transfer of a Visco-elastic fluid flowing steadily between two walls having periodic deformation and...
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Thermal and Flow Properties of Jeffrey Fluid Through Prabhakar Fractional Approach: Investigating Heat and Mass Transfer with Emphasis on Special Functions
The core purpose of this work is the investigation, formulation and develop a mathematical model by dint of a new fractional modeling approach namely...
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Analysis of Thermal and Quantum Escape Times of Josephson Junctions for Signal Detection
In this work we investigate the limits to the possibility to reveal the existence of weak microwave signals through Josephson junctions. Even if the...
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Pulsed heating of the self-actuated cantilever: a one-dimensional exact solution investigation of non-axial temperature gradients
Self-actuated bimorph cantilevers are implemented in a variety of micro-electro-mechanical systems. Their tip deflection relies on the unmatched...
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Asymptotic Analysis of Boundary-Value Problems for the Laplace Operator with Frequently Alternating Type of Boundary Conditions
This work, which can be considered as a small monograph, is devoted to the study of two-and three-dimensional boundary-value problems for eigenvalues...