Laurent Chupin

Roughness-Induced Effect at Main Order on the Reynolds Approximation

Usually the Stokes equations that govern a flow in a smooth thin domain (with thickness of order

Viscoelastic fluids in a thin domain

\varepsilon

Rigorous derivation of the thin film approximation with roughness-induced correctors ∗

) are related to the Reynolds equation for the pressure

Viscoelastic fluids in thin domains: A mathematical proof

p_{\mathrm{smooth}}

Roughness effect on Neumann boundary condition

. In this paper, we show that for a rough thin domain (with rugosities of order

Fast approximate solution of Bloch equation for simulation of RF artifacts in Magnetic Resonance Imaging

\varepsilon^2

Mathematical existence results for the Doi-Edwards polymer model

) the flow is governed by a modified Reynolds equation for a pressure

Compressible flows: New existence results and justification of the Reynolds asymptotic in thin films

p_{\mathrm{rough}}

GLOBAL EXISTENCE RESULTS FOR SOME VISCOELASTIC MODELS WITH AN INTEGRAL CONSTITUTIVE LAW

. Moreover, we find the relation

From the Phan–Thien–Tanner/Oldroyd-B Non-Newtonian Model to the Double Shear Thining Rabinowisch Thin Film Model

p_{\mathrm{rough}}=K\,p_{\mathrm{smooth}}