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A Hybrid Moment Method for Multi-scale Kinetic Equations Based on Maximum Entropy Principle
We propose a hybrid method for the multi-scale kinetic equations in the framework of the hyperbolic moment method (Cai and Li in SIAM J Sci Comput...
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Nesting Theory of Many Moments and Maximum Entropy Principle
We consider molecular extended thermodynamics (molecular ET) of rarefied polyatomic gases with the system composed of two hierarchies of balance...
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A Linear Spline Maximum Entropy Method for Frobenius-Perron Operators of Multi-dimensional Transformations
A piecewise linear spline maximum entropy optimization method is described for the approximation of fixed densities of the Frobenius-Perron operator...
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Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge–Kutta Discretizations of Scalar Convection-diffusion Equations
We provide a framework for high-order discretizations of nonlinear scalar convection-diffusion equations that satisfy a discrete maximum principle....
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Topological Entropy and Sequence Entropy for Hom Tree-Shifts on Unexpandable Trees
This article explores the topological entropy and topological sequence entropy of hom tree-shifts on unexpandable trees. Regarding topological...
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Entropy: Discrete Case
The main character of this chapter is the entropy function ( 1.2.9 ),...
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Dynamic metabolic resource allocation based on the maximum entropy principle
Organisms have evolved a variety of mechanisms to cope with the unpredictability of environmental conditions, and yet mainstream models of metabolic...
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The Structure Entropy of Social Networks
Micro triadic structure is an important motif and serves the building block of complex networks. In this paper, the authors define structure entropy...
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Maximum Entropy Principle
The description of a physical system requires the knowledge of some information, for example the prediction of the motion of a point particle in...
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On the Topological Entropy of Saturated Sets for Amenable Group Actions
Let ( X , G ) be a G -action topological system, where G is a countable infinite discrete amenable group and X a compact metric space. We prove a...
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On the Theory of Entropy Solutions of Nonlinear Degenerate Parabolic Equations
We consider a second-order nonlinear degenerate parabolic equation in the case, where the flux vector and the nonstrictly increasing diffusion...
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A comparison principle for semilinear Hamilton–Jacobi–Bellman equations in the Wasserstein space
The goal of this paper is to prove a comparison principle for viscosity solutions of semilinear Hamilton–Jacobi equations in the space of probability...
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Maximum entropy principle closure for 14-moment system for a non-polytropic gas
In this paper, we consider a rarefied polyatomic gas with a non-polytropic equation of state. We use the variational procedure of maximum entropy...
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Global existence of entropy solutions for euler equations of compressible fluid flow
The main contribution of this paper is to provide a complete proof of the global weak entropy solution existence of the Cauchy problem for the Euler...
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Entropy of Peer-to-Peer Network
A strong flow of information 24/7 occurs between the agents of the peer-to-peer network. This intensive activity is a mark of perpetual evolution....
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Shock structure in the 14 moment system of extended thermodynamics with high order closure based on the maximum entropy principle
An analysis of the shock structure in the 14 moment system of extended thermodynamics with first, second and third order closure based on the maximum...
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Randomization and Entropy in Machine Learning and Data Processing
AbstractCombining the concept of randomization with entropic criteria allows solutions to be obtained in the conditions of maximum uncertainty, which...
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Tail variational principle and asymptotic h-expansiveness for amenable group actions
In this paper we prove the tail variational principle for actions of countable amenable groups. This allows us to extend some characterizations of...
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