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Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate
Sandwiched functionally-graded piezoelectric semiconductor (FGPS) plates possess high strength and excellent piezoelectric and semiconductor...
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Global Classical Solutions and the Classical Limit of the Non-Relativistic Vlasov-Darwin System with Small Initial Data
We investigate the global classical solutions of the non-relativistic Vlasov-Darwin system with generalized variables (VDG) in three dimensions. We...
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Asymptotic growth bounds for the Vlasov-Poisson system with radiation dam**
We consider asymptotic behaviors of the Vlasov-Poisson system with radiation dam** in three space dimensions. For any smooth solution with compact...
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Flexural wave bandgap properties of phononic crystal beams with interval parameters
Uncertainties are unavoidable in practical engineering, and phononic crystals are no exception. In this paper, the uncertainties are treated as the...
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The Time Decay Rates of the Classical Solution to the Poisson-Nernst-Planck-Fourier Equations in ℝ3
In this work, the Poisson-Nernst-Planck-Fourier system in three dimensions is considered. For when the initial data regards a small perturbation...
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Flexural-wave-generation using a phononic crystal with a piezoelectric defect
This paper proposes a method to amplify the performance of a flexural-wave-generation system by utilizing the energy-localization characteristics of...
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Existence, uniqueness and asymptotic behavior for the Vlasov–Poisson system with radiation dam**
We investigate the Cauchy problem for the Vlasov–Poisson system with radiation dam**. By virtue of energy estimate and a refined velocity average...
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Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case
We study the existence and uniqueness of solutions for a class of infinite-dimensional Fokker-Planck equations on the spin lattice systems
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Statistical dynamics of continuous systems: perturbative and approximative approaches
We discuss general concept of Markov statistical dynamics in the continuum. For a class of spatial birth-and-death models, we develop a perturbative...
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Mobile geometric graphs: detection, coverage and percolation
We consider the following dynamic Boolean model introduced by van den Berg et al. (Stoch. Process. Appl. 69:247–257,
1997 ). At time 0, let the nodes... -
A decision-making Fokker–Planck model in computational neuroscience
In computational neuroscience, decision-making may be explained analyzing models based on the evolution of the average firing rates of two...
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On an evolution system describing self-gravitating particles in microcanonical setting
The global in time existence of solutions of a system describing the interaction of gravitationally attracting particles with a general diffusion...
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Hydrodynamic modeling of ferrofluid flow in magnetic targeting drug delivery
Among the proposed techniques for delivering drugs to specific locations within human body, magnetic drug targeting prevails due to its non-invasive...
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Markov evolutions and hierarchical equations in the continuum. I: one-component systems
General birth-and-death as well as hop** stochastic dynamics of infinite particle systems in the continuum are considered. We derive corresponding...
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Large deviations for Glauber dynamics of continuous gas
This paper is devoted to the large deviation principles of the Glauber-type dynamics of finite or infinite volume continuous particle systems. We...
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Dynamics of a Non-Autonomous ODE System Occurring in Coagulation Theory
We consider a constant coefficient coagulation equation with Becker–Döring type interactions and power law input of monomers J ...
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Nonlinear Diffusion Models for Self-gravitating Particles
This paper deals with parabolic-elliptic systems of drift-diffusion type modelling gravitational interaction of particles. The main feature is...
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Liapunov Functionals for Smoluchowski’s Coagulation Equation and Convergence to Self-Similarity
An alternative proof of the convergence to self-similar profiles for solutions to the Smoluchowski coagulation equation with constant coagulation...
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Mass-conserving solutions and non-conservative approximation to the Smoluchowski coagulation equation
The non-conservative truncation of the Smoluchowski coagulation equation is a good approximation to study the gelation phenomenon, both from a...