9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook Pressure Sensor (redirected fromDifferential pressure transducer) The following article is fromThe Great Soviet Encyclopedia(1979). It might be outdated or ideologically biased. ...
We show that the usual heuristic understanding of the diffusion and advection terms of the PDE being one-to-one responsible for the random and biased motion of the solitary cancer cells, respectively, is not precise. On the contrary, we show that the drift term of the correct stochastic ...
Differential Cyclonic Vorticity Advection differential cytolocalization assay Differential Dark-Field Microscopy differential delay Differential Delay Line Differential Destination Multicast Differential Detector differential diagnoses differential diagnoses differential diagnoses ...
a Long short term memory (LSTM) unit and a decoder unit.Candhare the cell and hidden states of the Convolutional long short term memory (ConvLSTM) units respectively.BC Encodingrefers to the Boundary condition (BC) encoding wherein the BCs are enforced on the output variables.\({u...
Most PiDL approaches regularize training by embedding governing equations into the loss function, yet this depends heavily on extensive hyperparameter tuning to weigh each loss term. To this end, we propose to leverage physics prior knowledge by “baking” the discretized governing equations into the...
characteristic curves represent the paths along which the solution of the PDE remains constant. The method of characteristics is a powerful technique for solving first-order partial differential equations (PDEs), including linear first-order PDEs such as the transport equation or the linear advection ...
Let Ω⊂Rn be a domain occupied by a porous medium, let z=z(x,t) denote the solute concentration of one contaminant component in the fluid phase and assume that the flow is at steady state and that the transport is described by advection, molecular diffusion, mechanical dispersion and che...
Implicit-explicit (IMEX) schemes have been widely used, especially in conjunction with spectral methods, for the time integration of spatially discretized partial differential equations (PDEs) of diffusion-convection type. Typically, an implicit scheme is used for the diffusion term and an explicit sch...
(u) = u. The KdV-type equations play an important role in the long-term evolution of initial data [8], are often used to model the propagation of waves in a variety of nonlinear and dispersive media [9]. Another choice of the functionsf(u) = u^3,r(u) = u^2andg(u) = u/2...
However, TWs in these cases originate from the advection term, rather than the source term. Non-monotone profiles have also been observed for the TWs of PDE–ODE systems arising in biology, see [13, 14] for examples. TWs for a PDE–PDE coupled model of bacteria spreading in an aqueous ...