On the Asymptotic Behavior of an Interface Problem in a Thin Domain
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Considering a mathematical model for the bilateral, frictionless contact between two Bingham fluids, establish a variational formulation for the problem and prove estimates on the velocity and pressure which are independent of the small parameter. The passage to the limit on \(\varepsilon \) permits us to obtain the existence and uniqueness of the velocity. A specific Reynolds equation associated with variational inequalities is obtained.
KeywordsAsymptotic behavior Bingham fluid Non-Newtonian fluid Reynolds equation Transmission conditions Tresca law
Mathematics Subject Classification35R35 76F10 78M35
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