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Analytic solution and numerical validation of the transient regime in dry surface grinding
In the framework of Samara–Valencia model for heat transfer in dry surface grinding, analytical expressions for the time-dependent temperature field...
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First Passage Times of Long Transient Dynamics in Ecology
Long transient dynamics in ecological models are characterized by extended periods in one state or regime before an eventual, and often abrupt,...
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Transient Propagation of the Invasion Front in the Homogeneous Landscape and in the Presence of a Road
Understanding the propagation of invasive plants at the beginning of invasive spread is important as it can help practitioners eradicate harmful...
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Regime Switching
This chapter focuses on the evaluation of the transform of the ruin probability in a regime-switching (or Markov modulated) version of the standard...
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Dynamical Properties of Weather Regime Transitions
Large-scale weather can often be successfully described using a small amount of patterns. A statistical description of reanalysed pressure fields...
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Universal Transient Dynamics in Oscillatory Network Models of Epileptic Seizures
Discharges of different epilepsies are characterized by different signal shape and duration. The authors adhere to the hypothesis that spike-wave...
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Inhomogeneous long-range percolation in the weak decay regime
We study a general class of percolation models in Euclidean space including long-range percolation, scale-free percolation, the weight-dependent...
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Critical exponents for a percolation model on transient graphs
We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the corresponding...
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Solution of the Boltzmann Equation in the Continuum Flow Regime
AbstractA method for solving the Boltzmann equation is presented that makes it possible to calculate gas flows in the continuum flow regime described...
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A self-similar solution for transient Darcy–Forchheimer flow in an aquifer
In this study we examine the classical problem of fluid flow in an aquifer, obeying the transient Darcy–Forchheimer law. This problem is solved by...
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Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
A stochastic SIQS model via isolation with regime-switching is studied in this paper. The range of positive solution of the model is presented....
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Analysis of the onset of a regime shift and detecting early warning signs of major population changes in a two-trophic three-species predator-prey model with long-term transients
Identifying early warning signs of sudden population changes and mechanisms leading to regime shifts are highly desirable in population biology. In...
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Transient-thermoelastic analysis of periodically rotated functionally graded hollow cylinder
A closed-form solution for transient thermal stress analysis of functionally graded hollow cylinder exposed to high-temperature difference is...
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Tighter Bounds on Transient Moments of Stochastic Chemical Systems
The use of approximate solution techniques for the Chemical Master Equation is a common practice for the analysis of stochastic chemical systems....
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Transient Quantum Particle Attributes
The transient problem is characterized by an in time develo** Wigner state, determined by an initial condition - the Wigner function at a given...
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Harnack Inequality and Long Time Asymptotics of Unbounded Additive Functionals of Regime-Switching Diffusion Processes
This work provides explicit conditions to establish the dimension-free Harnack inequalities respectively for state-independent and state-dependent...
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Modeling the Gas Liquid Interface of Falling Film Reactors in Fully Developed Flow Regime
In falling film reactors, the time scale of reaction is typically faster than the time scale of the mass transfer; hence the overall efficiency of...
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Quasiperiodic Route to Transient Chaos in Vibroimpact System
Dynamic behaviour of the nonsmooth systems is interesting and explored subject in nonlinear science. We studied quasiperiodic route to chaos in...
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Transient MHD Free Convection Flow, Heat and Mass Transfer in Darcy–Forchheimer Porous Medium in the Presence of Chemical Reaction and Heat Absorption with Soret and Dufour Effects: Element-Free Galerkin Modelling
AbstractThe effects of diffuso-thermal (Dufour effect) and thermo-diffusion gradients (Soret effect) on the magneto-hydrodynamic (MHD) unsteady...
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Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations
In this work, we introduce a variational multi-scale (VMS) method for the numerical approximation of parabolic problems, where sub-grid scales are...
