71 citations · 460 across the 61 of their papers we have counts for
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Finite time singularity in a MEMS model revisited
Philippe Laurençot, Christoph Walker
A free boundary problem modeling a microelectromechanical system (MEMS) consisting of a fixed ground plate and a deformable top plate is considered, the plates being held at differ…
Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption
Razvan Gabriel Iagar, Philippe Laurençot
The behavior near the extinction time is identified for non-negative solutions to the diffusive Hamilton-Jacobi equation with critical gradient absorption $\partial_t u - Δ_p u + |…
Classification of extinction profiles for a one-dimensional diffusive hamilton-jacobi equation with critical absorption
Razvan Iagar, Philippe Laurençot
A classification of the behavior of the solutions to the ordinary differential equation in with initial condition…
Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel
Philippe Laurençot, Barbara Niethammer, Juan J. L. Velázquez
We characterize the long-time behaviour of solutions to Smoluchowski's coagulation equation with a diagonal kernel of homogeneity . Due to the property of the diagonal kernel…
Vanishing aspect ratio limit for a fourth-order mems model
Philippe Laurençot, Christoph Walker
So far most studies on mathematical models for microelectromechanical systems (MEMS) are focused on the so-called small aspect ratio model which is a wave or beam equation with a s…