Results 121 to 130 of about 87,102,086 (248)
Drift‐Diffusion Models with Schottky Contacts at Metal–Semiconductor Interfaces
ABSTRACT The paper deals with a drift‐diffusion model for semiconductor devices with Schottky contacts at all metal–semiconductor interfaces. The presented analytical investigations permit Boltzmann as well as Fermi–Dirac statistics for the charge‐carrier densities.
Annegret Glitzky, Matthias Liero
wiley +1 more source
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley +1 more source
Cyclic adenosine monophosphate (cAMP) is a key cellular second messenger. Adenylyl cyclase converts emissive isomorphic nucleoside triphosphates into fluorescent cAMPs. cthAMP displays unusually high brightness compared to thATP, its precursor, enabling real‐time monitoring of enzymatic reactions.
Deyuan Cong +3 more
wiley +2 more sources
This thesis deals with the theory of \textit{viscosity solutions}, a powerful and elegant framework for analyzing partial differential equations (PDEs) that may not admit solutions in the classical sense.
Caneti, Enrico
core
Rough volatility, path-dependent PDEs and weak rates of convergence
In the setting of stochastic Volterra equations, and in particular rough volatility models, we show that conditional expectations are the unique classical solutions to path-dependent PDEs.
Bonesini, Ofelia +2 more
core
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
wiley +1 more source
Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems
ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel +2 more
wiley +1 more source
ABSTRACT A potential–based, first–integral formulation of the Navier–Stokes equations is used as a platform for modelling solitary waves in gravity‐driven film flow, giving rise to a nonlinear partial differential equation in complex form. Its subsequent modal decomposition—leading to an infinite set of ordinary differential equations (ODEs), followed ...
Markus Scholle +2 more
wiley +1 more source
Billiard weak solutions of nonlinear PDE’s and Toda flows [PDF]
Mark Alber +2 more
openaire +1 more source
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo +8 more
wiley +1 more source

