A free boundary problem modeling electrostatic MEMS: I. Linear bending effects

The Cauchy problem for dissipative Ko- rteweg de Vries equations in Sobolev spaces of negative order. On the low regularity of the Korteweg-de

[11] A. Grünrock, Bi- and trilinear Schrödinger estimates in one space dimension with applications to cubic NLS and DNLS, International Mathematics Research Notices, 41 ,

To overcome the difficulties caused by the weakly dispersive effect, our specific strategy is to benefit from the “almost” transport effect of these singular parts and to exploit

In this paper we give a class of hyperbolic systems, which includes systems with constant multiplicity but significantly wider, for which the initial boundary value problem (IBVP)

[1] Gregory R. Baker, Xiao Li, and Anne C. Analytic structure of two 1D-transport equations with nonlocal fluxes. Bass, Zhen-Qing Chen, and Moritz Kassmann. Non-local Dirichlet

The model includes the harmonic electrostatic potential in the three-dimensional time-varying region between the plates along with a fourth-order semilinear parabolic equation for

Furthermore, solutions corresponding to small voltage values exist globally in time while global existence is shown not to hold for high voltage values.. It is also proven that,

Idealized modern MEMS devices often consist of two components: a rigid ground plate and a thin and deformable elastic membrane that is held fixed along its boundary above the