Results 61 to 70 of about 163 (148)

Solutions to the Equations of Viscous Quantum Hydrodynamics in Multiple Dimensions

, 2008
We study the viscous model of quantum hydrodynamics in a bounded domain of space di-mension 1, 2, or 3. This model is a mixed order partial differential system with nonlocal and nonlinear terms for the particle density, current density and electric ...
Mathematik Informatik, Michael Dreher, Konstanzer Schriften   +2 more
core  

A note on a transmission problem for the Brinkman system and the generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains in R³

, 2019
The purpose of this paper is to treat a nonlinear transmission-type problem for a generalized version of the Darcy-Forchheimer-Brinkman system and the classical Brinkman system in complementary Lipschitz domains in R³.
ALBIȘORU, Andrei-Florin
core   +1 more source

Energy-variational solutions for viscoelastic fluid models

Advances in Nonlinear Analysis
In this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo, Lasarzik Robert, Rocca Elisabetta   +2 more
doaj   +1 more source

Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach

Advances in Nonlinear Analysis, 2017
In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
doaj   +1 more source

On the regularity of weak solutions of the Boussinesq equations in Besov spaces

, 2019
The main issue addressed in this paper concerns an extension of a result by Z. Zhang who proved, in the context of the homogeneous Besov spaceḂ −1 ∞,∞ (R 3), that, if the solution of the Boussinesq equation (1.1) below (starting with an initial data in H
Thera, Michel, Ragusa, M,, Barbagallo, A., Gala, S., Ragusa, M, A   +4 more
core  

Global solutions of aggregation equations and other flows with random diffusion. [PDF]

Probab Theory Relat Fields, 2023
Rosenzweig M, Staffilani G.
europepmc   +1 more source

Some Invariant Solutions for Unsaturated Flow Models with Plant Root Extraction

, 2004
Using two parameter symmetry groups we shall obtain exact (invariant) solutions for a class of non-linear partial differential equations which models soil water infiltration and redistribution in a bedded soil profile irrigated by a drip irrigation
Khalique, CM, Baikov, VA
core  

On an Oberbeck-Boussinesq model relating to the motion of a viscous fluid subject to heating

Open Mathematics
This article surveys some results in the study of Iannelli [Su un modello di Oberbeck-Boussinesq relativo al moto di un fluido viscoso soggetto a riscaldamento, Fisica Matematica, Istituto Lombardo (rend.
Iannelli Angela
doaj   +1 more source

Some explicit solutions of the three-dimensional Euler equations with a free surface. [PDF]

Math Ann, 2022
Martin CI.
europepmc   +1 more source

Simulation of fluid-particles flows: Heavy particles, flowing regime and AP-schemes

, 2012
. We are interested in an Eulerian–Lagrangian model describing particulate flows. The model under study consists of the Euler system and a Vlasov-Fokker-Planck equation coupled through momentum and energy exchanges.
Bokai Yan, Shi Jin, Thierry Goudon
core