199 research outputs found
On Blow-up criterion for the Nonlinear Schr\"{o}dinger Equation
The blowup is studied for the nonlinear Schr\"{o}dinger equation
with is odd and (the
energy-critical or energy-supercritical case). It is shown that the solution
with negative energy blows up in finite or infinite time. A new
proof is also presented for the previous result in \cite{HoRo2}, in which a
similar result but more general in a case of energy-subcritical was shown.Comment: In this version, we add a reference, and change some expressions in
Englis
Global solutions to the Nernst-Planck-Euler system on bounded domain
We show that the Nernst-Planck-Euler system, which models ionic
electrodiffusion in fluids, has global strong solutions for arbitrarily large
data in the two dimensional bounded domains. The assumption on species is
either there are two species or the diffusivities and the absolute values of
ionic valences are the same if the species are arbitrarily many. In particular,
the boundary conditions for the ions are allowed to be inhomogeneous. The proof
is based on the energy estimates, integration along the characteristic line and
the regularity theory of elliptic and parabolic equations
Real-Time Parameter Identification for Forging Machine Using Reinforcement Learning
It is a challenge to identify the parameters of a mechanism model under real-time operating conditions disrupted by uncertain disturbances due to the deviation between the design requirement and the operational environment. In this paper, a novel approach based on reinforcement learning is proposed for forging machines to achieve the optimal model parameters by applying the raw data directly instead of observation window. This approach is an online parameter identification algorithm in one period without the need of the labelled samples as training database. It has an excellent ability against unknown distributed disturbances in a dynamic process, especially capable of adapting to a new process without historical data. The effectiveness of the algorithm is demonstrated and validated by a simulation of acquiring the parameter values of a forging machine
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