Stochastic heat equationparabolic Anderson modelspace-time Holder regularityspatially homogeneous noisecomparison principlemeasure-valued initial dataWe establish the strong comparison principle and strict positivity of solutions to the following nonlinear stochastic heat equation on R-dChen, LeHuang, Jingyu...
In this paper, we prove a sample-path comparison principle for the nonlinear stochastic fractional heat equation on \\mathbb{R} \\mathbb{R} with measure-valued initial data. We give quantitative estimates about how close to zero the solution can be. These results extend Mueller's comparison ...
Flexibility of placement means an OPM array can, in principle, be adapted to any head size (Hill et al., 2019). In addition, when background fields are controlled (Holmes et al., 2018, 2019) it is feasible to collect data whilst a participant moves (Boto et al., 2018; Hill et ...
In principle, (5) is solved by m apping every cell centre along a eld line to the boundary and interpolating the boundary values to its foot point.To m inim ise the num ber of eld line calculations, we store the value also in every cellthe calculated eld line intersects along w ith...
For this reason electric field distribution during electroporation can not be solved analytically except for the most simple cases [31] and therefore numerical methods have to be used [16, 25]. In principle there are two complementary approaches to determine the optimal electrode configuration and ...
As a proof of principle, the genetic dataset was limited to include only oxidoreductases and transferases, genes belonging to the enzyme classes EC 1.x.x.x and EC 2.x.x.x. While genes were selected at random, attention was given to certain criteria to ensure sufficient variation in the ...
The turbulence intensity according to [24,27] for the longitudinal velocity component is obtained by: 𝑇𝑢𝑥=𝑢𝑟𝑚𝑠𝑈0=𝑢2 −−√𝑈0,Tux=urmsU0=u2¯U0, (14) where often 𝑢2 u2¯ is obtained from Equation (9). The same principle holds for the transverse ve...
Additionally, in this case the monitored trend allowed us to highlight the different operating principle of the compared systems. The values of surface temperatures recorded on the floor also suggested uniform conditions when the radiative floor was operating. More in detail, considering the five ...
Temperature is an objective measure of heat or the lack of heat based on an established scale. In simple terms, it refers to the hotness or coldness of an object or area based on pre-established scales of rating temperature. For example, when you look up the temperature in your area, you...
Naviglio’s principle is based on generating, with a suitable solvent, a negative pressure gradient between the internal and external sides of a solid matrix containing extractable material, followed by a sudden restoration of the initial equilibrium conditions. This process induces the forced ...