Romero-Rochín, V.Rubí Capaceti, José Miguel2011-07-072011-07-0719981063-651Xhttps://hdl.handle.net/2445/18792Using an interpolant form for the gradient of a function of position, we write an integral version of the conservation equations for a fluid. In the appropriate limit, these become the usual conservation laws of mass, momentum, and energy. We also discuss the special cases of the Navier-Stokes equations for viscous flow and the Fourier law for thermal conduction in the presence of hydrodynamic fluctuations. By means of a discretization procedure, we show how the integral equations can give rise to the so-called particle dynamics of smoothed particle hydrodynamics and dissipative particle dynamics.8 p.application/pdfeng(c) American Physical Society, 1998Teoria quànticaTeoria de camps (Física)Relativitat especial (Física)Física matemàticaQuímica físicaQuantum theoryField theory (Physics)Special relativity (Physics)Physical and theoretical chemistryMathematical physicsinfo:eu-repo/semantics/article143474info:eu-repo/semantics/openAccess