A simple experimental equation for the bursting cycle
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In this paper, we consider nonlinear Schrodinger equations of the following type: -Delta u(x) + V (x) u(x) -q(x)|u(x)|sigma u(x) =lambda u(x), x is an element of R-N, u is an element of H-1(R-N) \ {0}, where N >= 2 and sigma > 0. We concentrate on situatio ...
Royal Society of Edinburgh Scotland Foundation, Cambridge2013
The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions evolve globally into ...
A mock-up gun has been manufactured as exact replica of the refurbishment first prototype EU 170 GHz/2MW/CW coaxial cavity gyrotron, but without emitter ring in order to validate the voltage standoff stability. The experimental results of the mock-up gun t ...
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010
The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers. We prove that, as time goes to infinity, the opinions evolve globally into ...
We give sufficient conditions for the naturallity of the exterior differential under Sobolev mappings. In other words we study the validity of the equation df∗α=f∗dα for a smooth form α and a Sobolev map f. ...
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with αε[0,2/3): ∂tu={(−Δ)−1u}Δu+αu2,u(t=0)=u0. The initial condition u0 is positive, rad ...
We describe in this article two recent results [11], [12], obtained by the author jointly with W. Schlag and D. Tataru, about singular solutions for the critical wave maps equation, as well as the critical focussing semilinear wave equation. Specifically, ...
We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically nonlinear (Kerr) optical medium that consists of alternating layers of glass and air. We model this setting using a nonlinear Schrödinger (NLS ...
A review. On page 723, the equation should read: M + zH+.bul.: [M + zH]Z+ + e -> M + zH+.bul. (+6 eV) -> M + (z - 1)H+ + H.* -> fragments. [on SciFinder (R)] ...
Applications of thin SixNy membranes may be found in miscellaneous fields such as MEMS and NEMS as well as biotechnology. FIB is an excellent tool in order to realize nano-structures on membranes achieving the ultimate limits and rapid prototyping. ...