The H@braud-Lequeux model is a model describing the flow of soft glassy material in a simple shear flow configuration. It is given by a kinetic/Fokker-Planck-type equation whose coefficients depend on the shear rate o...The H@braud-Lequeux model is a model describing the flow of soft glassy material in a simple shear flow configuration. It is given by a kinetic/Fokker-Planck-type equation whose coefficients depend on the shear rate of the experiment. In this paper we want to study what happens to the stationary solutions of this model when the shear rate is asymptotically large. In order to do that, we expand the solution of the equation using singular perturbation tools. In the end, we rigorously prove the estimate of Hebraud and Lequeux that the material asymptotically behaves as a Newtonian fluid.展开更多
The Hébraud-Lequeux model is a model describing the flow of soft glassy material in a simple shear flow configuration.It is given by a kinetic/Fokker-Planck-type equation whose coefficients depend on the shear ra...The Hébraud-Lequeux model is a model describing the flow of soft glassy material in a simple shear flow configuration.It is given by a kinetic/Fokker-Planck-type equation whose coefficients depend on the shear rate of the experiment.In this paper we want to study what happens to the stationary solutions of this model when the shear rate is asymptotically large.In order to do that,we expand the solution of the equation using singular perturbation tools.In the end,we rigorously prove the estimate of Hébraud and Lequeux that the material asymptotically behaves as a Newtonian fluid.展开更多
文摘The H@braud-Lequeux model is a model describing the flow of soft glassy material in a simple shear flow configuration. It is given by a kinetic/Fokker-Planck-type equation whose coefficients depend on the shear rate of the experiment. In this paper we want to study what happens to the stationary solutions of this model when the shear rate is asymptotically large. In order to do that, we expand the solution of the equation using singular perturbation tools. In the end, we rigorously prove the estimate of Hebraud and Lequeux that the material asymptotically behaves as a Newtonian fluid.
基金supported by the FP7-REGPOT-2009-1 project"Archimedes Center for Modeling,Analysis and Computation"by the ANR-08-SYSC-010 project "Maniphyc"
文摘The Hébraud-Lequeux model is a model describing the flow of soft glassy material in a simple shear flow configuration.It is given by a kinetic/Fokker-Planck-type equation whose coefficients depend on the shear rate of the experiment.In this paper we want to study what happens to the stationary solutions of this model when the shear rate is asymptotically large.In order to do that,we expand the solution of the equation using singular perturbation tools.In the end,we rigorously prove the estimate of Hébraud and Lequeux that the material asymptotically behaves as a Newtonian fluid.
