Properties of operators related to the Boltzmann collision term
Properties of the Gibbs potential and the equilibrium of a liquid with its vapor
Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations
This work is devoted to the concept of statistical solution of the Navier-Stokes equations, proposed as a rigorous mathematical object to address the fundamental concept of ensemble average used in the study of the conventional theory of fully developed turbulence. Two types of statistical solutions have been proposed in the 1970’s, one by Foias and Prodi and the other one by Vishik and Fursikov. In this article, a new, intermediate type of statistical solution is introduced and studied. This solution...
Pseudo-steady-state productivity formula for a partially penetrating vertical well in a box-shaped reservoir.
Pullback attractors for non-autonomous 2D MHD equations on some unbounded domains
We study the 2D magnetohydrodynamic (MHD) equations for a viscous incompressible resistive fluid, a system with the Navier-Stokes equations for the velocity field coupled with a convection-diffusion equation for the magnetic fields, in an arbitrary (bounded or unbounded) domain satisfying the Poincaré inequality with a large class of non-autonomous external forces. The existence of a weak solution to the problem is proved by using the Galerkin method. We then show the existence of a unique minimal...
Pulsatile flow of a two-fluid model for blood flow through arterial stenosis.
Pulsatile flow of couple stress fluid through a porous medium with periodic body acceleration and magnetic field.
Pulsatile flow of two-fluid nonlinear models for blood flow through catheterized arteries: a comparative study.