Results 61 to 70 of about 1,514,329 (231)

A note on modelling with measures: Two-features balance equations

Mathematical Biosciences and Engineering, 2014
In this note we explain by an example what we understandby a balance situation and by a balance equation in termsof measures. The latter ones are an attempt to start modelling of (not only)diffusion-reaction or mass-conservation scenarios in terms of ...
Michael Böhm, Martin Höpker
doaj   +1 more source

Lower-order zonal gravitational coefficients caused by zonal circulations inside gaseous planets: Convective flows and numerical comparison between modeling approaches

Earth and Planetary Physics, 2020
To infer the internal equilibrium structure of a gaseous planet, especially the equation of state (EOS) and size of its inner core, requires accurate determination of lower-order zonal gravitational coefficients.
DaLi Kong, KeKe Zhang
doaj   +1 more source

Hydrodynamic representation and energy balance for Dirac and Weyl fermions in curved space-times

European Physical Journal C: Particles and Fields, 2022
Using a generalized Madelung transformation, we derive the hydrodynamic representation of the Dirac equation in arbitrary curved space-times coupled to an electromagnetic field. We obtain Dirac–Euler equations for fermions involving a continuity equation
Tonatiuh Matos, Omar Gallegos, Pierre-Henri Chavanis   +2 more
doaj   +1 more source

Levy targeting and the principle of detailed balance

, 2011
We investigate confined L\'{e}vy flights under premises of the principle of detailed balance. The master equation admits a transformation to L\'{e}vy - Schr\"{o}dinger semigroup dynamics (akin to a mapping of the Fokker-Planck equation into the ...
A. D. Polyanin, A. Messiah, C. Maes, E. B. Davies, H. Risken, J. Bertoin, L. D. Landau, Piotr Garbaczewski, R. N. Mantegna, Vladimir Stephanovich, Z. Burda   +10 more
core   +1 more source

New solitary wave in shallow water, plasma and ion acoustic plasma via the GZK-BBM equation and the RLW equation

Propulsion and Power Research, 2017
This work obtains the disguise version of exact solitary wave solutions of the generalized (2+1)-dimensional Zakharov-Kuznetsov–Benjamin-Bona-Mahony and the regularized long wave equation with some free parameters via modified simple equation method (MSE)
Harun-Or Roshid, Md. Mamunur Roshid, Nizhum Rahman, Mst. Razia Pervin   +3 more
doaj   +1 more source

Derivation of the Langevin equation from the principle of detailed balance

, 2010
For a system at given temperature, with energy known as a function of a set of variables, we obtain the thermal fluctuation of the evolution of the variables by replacing the phase-space with a lattice and invoking the principle of detailed balance ...
Berger, Jorge
core   +1 more source

Disappearance of Transverse Flow in Central Collisions for Heavier Nuclei

, 2003
For the first time, mass dependence of balance energy only for heavier systems has been studied. Our results are in excellent agreement with the data which allow us to predict the balance energy of U+U, for the first time, around 37-39 MeV/nucleon.
Aichelin, Aman D. Sood, Barz, Bertsch, Buta, Crochet, Cussol, de la Mota, Gustafsson, Hartnack, He, Jörg Aichelin, Klakow, Krofcheck, Krofcheck, Kumar, Kumar, Lehmann, Li, Li, Magestro, Magestro, Molitoris, Molitoris, Ogilvie, Pak, Pak, Pak, Partlan, Rajeev K. Puri, Roy, Scheid, Soff, Stöcker, Sullivan, Tripathi, Westfall, Westfall, Xu, Xu, Zhang, Zheng, Zhou   +42 more
core   +1 more source

Chebyshev Spectral Collocation Method for Population Balance Equation in Crystallization

Mathematics, 2019
The population balance equation (PBE) is the main governing equation for modeling dynamic crystallization behavior. In the view of mathematics, PBE is a convection–reaction equation whose strong hyperbolic property may challenge numerical methods ...
Chunlei Ruan
doaj   +1 more source

A Fast State Estimator for Integrated Electrical and Heating Networks

Energies, 2020
Integrated electrical and heating networks (IEHNs) effectively improve energy utilization efficiency, reduce environmental pollution and realize sustainable development of energy.
Chun Wang, Minghao Geng, Qingshan Xu, Haixiang Zang   +3 more
doaj   +1 more source

Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation

, 2012
Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as the one satisfied by the Euler equations of ...
LeFloch, Philippe G., Makhlof, Hasan, Okutmustur, Baver   +2 more
core   +1 more source