This paper is concerned with the existence of pullback attractors for the three dimensional nonautonomous Navier-Stokes-Voight equations for the processes generated by the weak and strong solutions. The main difficult...This paper is concerned with the existence of pullback attractors for the three dimensional nonautonomous Navier-Stokes-Voight equations for the processes generated by the weak and strong solutions. The main difficulty is how to establish the pullback asymptotic compactness via energy equation approach under suitable assumption on external force.展开更多
The authors investigate the long-term dynamics of the three-dimensional NavierStokes-Voight model of viscoelastic incompressible fluid.Specifically,upper bounds for the number of determining modes are derived for the ...The authors investigate the long-term dynamics of the three-dimensional NavierStokes-Voight model of viscoelastic incompressible fluid.Specifically,upper bounds for the number of determining modes are derived for the 3D Navier-Stokes-Voight equations and for the dimension of a global attractor of a semigroup generated by these equations.Viewed from the numerical analysis point of view the authors consider the Navier-Stokes-Voight model as a non-viscous (inviscid) regularization of the three-dimensional Navier-Stokes equations.Furthermore,it is also shown that the weak solutions of the Navier-StokesVoight equations converge,in the appropriate norm,to the weak solutions of the inviscid simplified Bardina model,as the viscosity coefficient ν→0.展开更多
In this work,we studied the adsorption of modified cellulose nanocrystals onto solid surfaces by quartz crystal microbalance with dissipation monitoring(QCM-D).Cellulose nanocrystals obtained from tunicate(CNC)were mo...In this work,we studied the adsorption of modified cellulose nanocrystals onto solid surfaces by quartz crystal microbalance with dissipation monitoring(QCM-D).Cellulose nanocrystals obtained from tunicate(CNC)were modified at reducing end by amidation reactions.Two different functionalities were investigated:a polyamine dendrimer(CNC-NH_(2)),which interacts with gold surface by the amine groups;and a biotin moiety(CNC-Biot),which has a strong affinity for the protein streptavidin(SAV).QCM-D results revealed different adsorption behaviors between modified and unmodified CNCs.Hence,unmodified CNCs covered almost all the surface forming a rigid and flat layer whereas reducing end modified CNCs remained rather upright forming a hydrated and viscoelastic layer with lower surface coverage.The analysis of adsorption kinetics allowed the calculation of an apparent collision rate factor,which resulted 10-fold higher for unmodified CNCs compared to reducing end modified CNCs,therefore,demonstrating the different adsorption behavior.展开更多
基金in part supported by the NNSF of China(No.10871040,11671075)supported in part by Ph.D.Innovative Fund of Donghua University(No.104-06-0019089)+2 种基金the Fund of Young Backbone Teacher in Henan Province(No.2018GGJS039)the Key Project of Science and Technology of Henan Province(Grant No.182102410069)supported by the National Natural Science Foundation of China(No.11801357)
文摘This paper is concerned with the existence of pullback attractors for the three dimensional nonautonomous Navier-Stokes-Voight equations for the processes generated by the weak and strong solutions. The main difficulty is how to establish the pullback asymptotic compactness via energy equation approach under suitable assumption on external force.
基金supported by the Scientific and Research Council of Turkey (No.106T337)the ISF Grant (No.120/6)+1 种基金the BSF Grant (No.2004271)the National Science Foundation (Nos.DMS-0504619,DMS-0708832)
文摘The authors investigate the long-term dynamics of the three-dimensional NavierStokes-Voight model of viscoelastic incompressible fluid.Specifically,upper bounds for the number of determining modes are derived for the 3D Navier-Stokes-Voight equations and for the dimension of a global attractor of a semigroup generated by these equations.Viewed from the numerical analysis point of view the authors consider the Navier-Stokes-Voight model as a non-viscous (inviscid) regularization of the three-dimensional Navier-Stokes equations.Furthermore,it is also shown that the weak solutions of the Navier-StokesVoight equations converge,in the appropriate norm,to the weak solutions of the inviscid simplified Bardina model,as the viscosity coefficient ν→0.
基金French National Research Agency(Project Cellmach,ANR-17-CE07-0010-01)Region Pays de la Loire(Project Nanomach,Etoiles Montantes 2017-10691).
文摘In this work,we studied the adsorption of modified cellulose nanocrystals onto solid surfaces by quartz crystal microbalance with dissipation monitoring(QCM-D).Cellulose nanocrystals obtained from tunicate(CNC)were modified at reducing end by amidation reactions.Two different functionalities were investigated:a polyamine dendrimer(CNC-NH_(2)),which interacts with gold surface by the amine groups;and a biotin moiety(CNC-Biot),which has a strong affinity for the protein streptavidin(SAV).QCM-D results revealed different adsorption behaviors between modified and unmodified CNCs.Hence,unmodified CNCs covered almost all the surface forming a rigid and flat layer whereas reducing end modified CNCs remained rather upright forming a hydrated and viscoelastic layer with lower surface coverage.The analysis of adsorption kinetics allowed the calculation of an apparent collision rate factor,which resulted 10-fold higher for unmodified CNCs compared to reducing end modified CNCs,therefore,demonstrating the different adsorption behavior.
