Results 71 to 80 of about 6,264,914 (298)
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 +2 more
doaj +1 more source
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
Lucas-Euler relations using balancing and Lucas-balancing polynomials [PDF]
arXiv, 2020 We establish some new combinatorial identities involving Euler polynomials and balancing (Lucas-balancing) polynomials. The derivations use elementary techniques and are based on functional equations for the respective generating functions. From these polynomial relations, we deduce interesting identities with Fibonacci and Lucas numbers, and Euler ...
arxiv
Linearized Boltzmann Equation and Hydrodynamics for Granular Gases
, 2003 The linearized Boltzmann equation is considered to describe small spatial perturbations of the homogeneous cooling state. The corresponding macroscopic balance equations for the density, temperature, and flow velocity are derived from it as the basis for
Brey, J. Javier +2 more
core +1 more source
Gabrio Piola and Balance Equations [PDF]
, 2014 The origin of modern continuum mechanics dates back to Cauchy [1–8] and Poisson [9, 10], who investigated linear elastic solids and fluids subject to infinitesimal displacements. This is stated in the well known monographs on history of mechanics by Todhunter and Pearson [11], Dugas [12], Timoshenko [13], Benvenuto [14].
openaire +3 more sources
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 +3 more
doaj +1 more source
Entropy Balance Equation of Space-Time Thermodynamics in f(R) Gravity [PDF]
, 2011 We study space–time thermodynamics for nonequilibrium processes. We first generalize the formulation of space–time thermodynamics by using an observer outside the horizon.
Y. Yokokura
semanticscholar +1 more source
Supplementary balance laws and the entropy principle [PDF]
arXiv, 2010 In this work we study the mathematical aspects of the development in the continuum thermodynamics known as the "Entropy Principle". It started with the pioneering works of B.Coleman, W.Noll and I. Muller in 60th of XX cent. and got its further development mostly in the works of G. Boillat, I-Shis Liu and T.Ruggeri.
arxiv
Constructing balanced equations of motion for particles in general relativity: the null gauge case [PDF]
arXiv, 2018 We present a convenient null gauge for the construction of the balanced equations of motion. This null gauge has the property that the asymptotic structure is intimately related to the interior one; in particular there is a strong connexion between the field equation and the balanced equations of motion.
arxiv
, 2009 We derive the detailed balance condition as a solution to the Hamilton-Jacobi equation in the Horava-Lifshitz gravity. This result leads us to propose the existence of the d-dimensional quantum field theory on the future boundary of the (d+1)-dimensional
Anninos D +54 more
core +1 more source