Kinetic and moment equations
Multivariate moment closure techniques for stochastic kinetic models.
... a moment closure Ansatz to obtain a closed set of differential equations solvable either analytically (this is only possible very rarely) or ...the equations is usually based on the assumption that ...
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Scale-Induced Closure for Approximations of Kinetic Equations
... macroscopic equations was presented that was claimed to be different from both Chapman-Enskog and ...general moment equations and follows the scale of the vari- ables for a closure, see also the ...
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Moment-Based Accelerators for Kinetic Problems with Application to Inertial Confinement Fusion
... a kinetic approach and 2) a moment approach. The kinetic approach requires one to solve the six dimensional integro- differential Boltzmann transport equation while the moment approach ...
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Fundamental solutions to moment equations for the simulation of microscale gas flows
... of moment equations (a topic that is covered extensively, elsewhere: see Struchtrup & Taheri 2011; Torrilhon 2016) but to illustrate the numerical accuracy and convenience of the MFS implementation of ...
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Derivation of Moment Equations for the Theoretical Description of Electrons in Nonthermal Plasmas
... of moment equations for the theoretical description of electrons is of interest for modelling of gas dis- charge plasmas and semiconductor ...of moment equations from the electron Boltzmann ...
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Modeling of Reversible Chain Transfer Catalyzed Polymerization by Moment Equations Method
... A moment equations method was performed to study the Reversible chain Transfer Catalyzed Polymerization (RTCP) of styrene in ...a kinetic scheme containing conventional free radical polymerization ...
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A kinetic theory description for external spherical flows with arbitrary Knudsen number by a moment method
... The boundary conditions for the partial differential moment equations must be expressed as conditions on the parametric functions chosen for the weighting function. To do[r] ...
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Fundamental solutions to the R13 equations : efficient computation of 3D kinetic effects
... obtained and implemented into a numerical approach, the reduction in computational cost compared with other approaches more than compensates the initial investment. It is likely that the same will be true for the R26 ...
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Computational framework for the regularized 20-moment equations for non-equilibrium gas flows
... R13 equations [8], is significantly attenuated when using an R20 ...a kinetic boundary layer occuring in close proximity to solid ...larger moment sets improve the physical description of rarefied ...
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Thermophoresis of a spherical particle : modelling through moment based, macroscopic transport equations
... R13 moment equations for the problem of thermophoresis of a spherical particle presented in § ...from kinetic theory and then compare predictions for the thermophoretic force from our solution to ...
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Kinetic Foundation for the Multimoment Hydrodynamics Equations
... ( ) ( ) ( ) ( ( ) ( ) ) ( ) 2 p , 1 , 1 , 2 , 2 2 p 0 , 1 1 0 , 1 , 2 2 0 , 2 1 F + t x ξ x ξ = F + t x − ξ t − t ξ x ξ − t − t ξ + O ν (3.3) Equation (3.3) has a clear physical meaning. It asserts that a pair of ...
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Kinetic equations modelling wealth redistribution: a comparison of approaches
... 兲 Kinetic equations modelling the redistribution of wealth in simple market economies is one of the major topics in the field of ...a moment analysis in the related homogeneous Boltzmann equation, ...
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Kinetic Equations modelling Wealth Redistribution: A comparison of Approaches
... 2008) Kinetic equations modelling the redistribution of wealth in simple market economies is one of the major topics in the field of ...a moment analysis in the related homogeneous Boltzmann ...
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Mapping of the classical kinetic balance equations onto the Pauli equation
... where we have dropped the subindex 1 from x 1 and p 1 and also have assumed that any surface terms vanish due to the convergence properties of f 1 . We will study the particular case for which F corresponds to the ...
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Palindromic discontinuous Galerkin method for kinetic equations with stiff relaxation
... If we take a higher CFL number β = 10, we then observe that the Kahan-Li scheme becomes stable again and produces results that are very similar to those of Figure 7. The conclusion of this numerical test is that it is ...
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Generalized phase-space kinetic and diffusion equations for classical and dispersive transport
... hence decreased effective drift velocity) for increased τ because of the additional time spent in traps. For the same reason, the current density j falls with increased τ. Nevertheless, the transport is not dispersive, ...
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Oscillatory difference equations and moment problems
... oscillator has. Next self-similar supermodels were addressed, showing a point spectrum which consists of basic versions of the natural numbers. These supermodels were related to discrete versions of Schrödinger ...
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Moment Lyapunov exponent of delay differential equations
... M. S. FOFANA Received 20 February 2001 and in revised form 9 September 2001 The aim of this paper is to establish a connecting thread through the probabilistic concepts of pth-moment Lyapunov exponents, the ...
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Moment bounds for a class of fractional stochastic heat equations
... Theorem 1.4. Let η < (α − β)/2α then for every x ∈ R d , {u t (x), t > 0}, the solution to (1.1) has Hölder continuous trajectories with exponent η. As such this result can be read off from [1] but for the sake of ...
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Relativistic moment equations in media with strong velocity gradients
... The case of critical points in the problem at hand is interwoven with the question of where to put boundary conditions in the problem. When there is need to put in a regularity condition at a critical point, somewhere a ...
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