Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials
This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in thermoviscoelastic materials. The corresponding parabolic-hyperbolic PDE system features a strongly nonlinear internal energy balance equation, governing the evolution of the absolute temperature , an evolution equation for the phase change parameter , including constraints on the phase variable, and a hyperbolic stress-strain relation for the displacement variable . The main novelty of the model...
Global mild solutions of the micropolar fluid system in critical spaces
We prove the global in time existence of a small solution for the 3D micropolar fluid system in critical Fourier-Herz spaces by using the Fourier localization method and Littlewood-Paley theory.
Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation
Hamiltonian principle in the binary mixtures of Euler fluids with applications to the second sound phenomena
In the present paper we compare the theory of mixtures based on Rational Thermomechanics with the one obtained by Hamilton principle. We prove that the two theories coincide in the adiabatic case when the action is constructed with the intrinsic Lagrangian. In the complete thermodynamical case we show that we have also coincidence in the case of low temperature when the second sound phenomena arises for superfluid Helium and crystals.
Heat transfer analysis of a second grade fluid over a stretching sheet.
Heat transfer analysis on rotating flow of a second-grade fluid past a porous plate with variable suction.
Hodographic study of non-Newtonian MHD aligned steady plane fluid flows.
Hodographic study of plane micropolar fluid flows.
Homogénéisation d'un milieu incompressible viscoplastique de type Norton-Hoff périodiquement perforé
Influence of multiscale roughness patterns in cavitated flows: Applications to journal bearings.
Initial-boundary value problem for equations of generalized Newtonian incompressible fluid.
Initial-boundary value problem for generalized Stokes equations
The paper is concerned with the solvability theory of the generalized Stokes equations arising in the study of the motion of non-Newtonian fluids.
Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case
In this paper we consider weak solutions to the equations of stationary motion of a fluid with shear dependent viscosity in a bounded domain ( or ). For the critical case we prove the higher integrability of which forms the basis for applying the method of differences in order to get fractional differentiability of . From this we show the existence of second order weak derivatives of .
Kinetic equations with Maxwell boundary conditions
We prove global stability results of DiPerna-Lionsrenormalized solutions for the initial boundary value problem associated to some kinetic equations, from which existence results classically follow. The (possibly nonlinear) boundary conditions are completely or partially diffuse, which includes the so-called Maxwell boundary conditions, and we prove that it is realized (it is not only a boundary inequality condition as it has been established in previous works). We are able to deal with Boltzmann,...
La scelta delle interazioni inerziali nei continui con microstruttura
Dedicando speciale attenzione all’esempio significativo dei cristalli liquidi di Ericksen [6], viene presentato un apparato assiomatico che consente di dedurre rappresentazioni coerenti delle interazioni d’inerzia e dell’energia cinetica per continui con microstruttura.
Lie group analysis of magnetohydrodynamic flow and mass transfer of a visco-elastic fluid over a porous stretching sheet.
Limites hydrodynamiques
Limites hydrodynamiques de l'équation de Boltzmann
Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid.