\end{aligned}$$ it is a widely used benchmark for nonlinear inference problems. the parameter α governs the rate at which sample trajectories are pushed toward either mode. if σ is small in comparison to α , mode-switching occurs relatively rarely. for this process, \(\mu (x)=\alpha ...
For the transition time until the enhanced dissipation takes over, we show the persistence of the mixing estimates with additional log factors. In advection-diffusion problems, a diffusion-limited mixing behavior is often observed [29]. That is, inviscid mixing does not persist as\(t\rightarrow ...
Stirring by large eddies is responsi- ble for the rapidity of turbulent mixing (e.g. Garrett 1989).Problems arise at the reduced scale of experi- mental ecosystems because ch.aracteristic length and time scales of large eddies are related to the largest scales of the flow. For example, ...
In terms of practical applications, discrete Fourier Transforms (DFT), and in particular the Fast Fourier Transform (FFT), were used to tackle signal processing problems. For example, Minami et al. (1999); Gothwal et al. (2011); Mironovova and Bíla (2015) fit neural networks to FFTs of...
It is desired to study the suitability of the present numerical scheme to solve reacting flow problems so that it can subsequently be applied to more difficult configurations such as the Sandia hydrogen jet flames.P. V. R. K. S. Prasad...
The subject matter of the present disclosure is directed to overcoming, or at least reducing the effects of, one or more of the problems set forth above. SUMMARY A direct slurry weight sensor, system, and method calculates a density of a slurry using a measured pressure differential and a bu...
Moreover, the presence of cyanobacteria may lead to other problems if the water is used for drinking water preparation. Cyanobacteria may produce off-flavour compounds such as geosmins (Jähnichen et al.2011). Furthermore, high algal or cyanobacterial biomass may lead to an anaerobic hypolimneti...
the worldwide CO2emission (Castel and Foster2015; Amran et al.2021). Environmental problems may be minimized by using waste/by-product materials instead of cement. Fly ash (FA) is an easily accessible waste product because 1.04 billion tons of FA is produced in the world by 2023 (SkyQuest...
In addition, the thermodynamic equations of state, which introduce intensive variables, add further closure problems. We cannot extend the same rationale as used before for the specific internal energy and define average values of intensive quantities like the temperature without additional assumptions. ...
4.1.2. Numerical Result To confirm the idea of carrier-frequency-multiplexed self-mixing laser-Doppler vibrometry using one laser and reproduce the experimental results, the numerical simulation of the model equation of a laser subjected to frequency-modulated multiple feedback lights Equations (9–12...