Coarse-grained forms for equations describing the microscopic motion of particles in a fluid
, 2013 Equations of motion for the microscopic number density $\hat{\rho}({\bf x},t)$ and the momentum density $\hat{\bf g}({\bf x},t)$ of a fluid have been obtained in the past from the corresponding Langevin equations representing the dynamics of the fluid ...
Das, Shankar P., Yoshimori, Akira
core +1 more source
ITERATIVE PROBABILISTIC SOLUTION METHOD OF INTERSECTORAL BALANCE LINEAR EQUATION
Вестник Донского государственного технического университета, 2018 The new solution method for the systems of linear algebraic equations based on the application of the measure theory in the probabilistic space is stated. The possibility of its application for the solution of the equation of linear intersectoral balance
Veronika S. Strelchenko +1 more
doaj
Process Optimization of Para-xylene Crystallization Separation Process via Morphology Approach, Multi-dimensional Population Balance Equation, and Equation-Oriented Models. [PDF]
ACS Omega, 2023 Cai Z, Zhao H, Li P, Chen X, Yang C.
europepmc +1 more source
Quasi-Periodic Solutions of a Damped Nonlinear Quasi-Periodic Mathieu Equation by the Incremental Harmonic Balance Method With Two Time Scales [PDF]
, 2022 J. L. Huang, B. X. Zhang, Wenwu Zhu
openalex +1 more source
Thermal Conduction and Ion Temperatures in the Ionosphere [PDF]
Ion energy balance equation analyzed in study of thermal conduction and ion temperatures in ...
Banks, P. M.
core +1 more source
Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
Ain Shams Engineering Journal, 2014 In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation.
M. Eslami +2 more
doaj +1 more source
Optimal Numerical Realization of the Energy Balance Equation for Wind Wave Models [PDF]
, 2003 Igor V. Lavrenov
openalex +1 more source
Valid and efficient formula for free energy difference from nonequilibrium work [PDF]
, 2008 Atomic force microscopes and optical tweezers afford direct probe into the inner working of single biomolecules by mechanically unfolding them.^1-15^ Critical to the success of this type of probe is to correctly extract the free energy differences ...
Liao Y. Chen
core +1 more source
Generation of Global Multivariate Error Covariances by Singular-Value Decomposition of the Linear Balance Equation [PDF]
, 1996 Roger Daley
openalex +1 more source
Development of consistent forms for the Gibbs equation and the entropy balance
Revista Técnica de la Facultad de Ingeniería, 2011 The principles of conservation of matter and energy are readily quantified in the mass and energy balances of the First Low of Thermodynamics. On the other hand formulation of a comparable balance equation for the Second Law tends to be more abstruse in ...
C. M. Sliepcevich
doaj