71 citations · 460 across the 61 of their papers we have counts for
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Extinction for a singular diffusion equation with strong gradient absorption revisited
Razvan Iagar, Philippe Laurençot
When and , non-negative solutions to the singular diffusion equation with gradient absorption $$\partial\_tu-Δ\_p u + |\nabla u|^q=0 \ \text{ in }\ (0,\inft…
Optimal extinction rates for the fast diffusion equation with strong absorption
Razvan Iagar, Philippe Laurençot
Optimal extinction rates near the extinction time are derived for non-negative solutions to a fast diffusion equation with strong absorption, the power of the absorption exceeding…
A constrained model for MEMS with varying dielectric properties
Philippe Laurencot, Christoph Walker
A semilinear parabolic equation with constraint modeling the dynamics of a microelectromechanical system (MEMS) is studied. In contrast to the commonly used MEMS model, the well-kn…
Heterogeneous dielectric properties in MEMS models
Philippe Laurencot, Christoph Walker
An idealized electrostatically actuated microelectromechanical system (MEMS) involving an elastic plate with a heterogeneous dielectric material is considered. Starting from the el…
Some singular equations modeling MEMS
Philippe Laurencot, Christoph Walker
In the past fifteen years mathematical models for microelectromechanical systems (MEMS) have been the subject of several studies, in particular due to the interesting qualitative p…