Study of Viscoplastic Flows Governed by the Norton-Hoff Operator | Zendy

J. Ferchichi | Zendy; I. Gaied | Zendy

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Study of Viscoplastic Flows Governed by the Norton-Hoff Operator

Author(s) -

J. Ferchichi,

I. Gaied

Publication year - 2011

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2011/627318

Subject(s) - viscoplasticity , operator (biology) , compressibility , homogeneous , boundary value problem , nonlinear system , mathematics , lagrangian , mathematical analysis , classical mechanics , incompressible flow , boundary (topology) , physics , mechanics , constitutive equation , finite element method , thermodynamics , biochemistry , chemistry , repressor , combinatorics , quantum mechanics , gene , transcription factor

We deal with viscoplastic flows. The fluid motion is governed by the nonlinear incompressible Norton-Hoff operator with homogeneous boundary conditions. We provide the well-posedness of the model in the static case. The idea is based on the crucial properties of the so-called compliance functional coupled with the min-max theory relayed to a variational analysis of the associated Lagrangian.

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