Results 41 to 50 of about 110,294 (285)

A trifurcated waveguide problem II [PDF]

open access: yes, 1994
We consider the diffraction of the dominant plane wave mode which propagates out of the end of a semi-infinite waveguide. This waveguide is made up of a half plane with a Dirichlet boundary condition and a half plane with a Neumann boundary condition ...
Rawlins, A D
core  

Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics

open access: yes, 2012
We consider a magnetic Schroedinger operator in a planar infinite strip with frequently and non-periodically alternating Dirichlet and Robin boundary conditions.
Borisov, Denis   +2 more
core   +1 more source

Second order PDEs with Dirichlet white noise boundary conditions [PDF]

open access: yesJournal of Evolution Equations, 2014
In this paper we study the Poisson and heat equations on bounded and unbounded domains with smooth boundary with random Dirichlet boundary conditions. The main novelty of this work is a convenient framework for the analysis of such equations excited by the white in time and/or space noise on the boundary.
Brzeźniak, Zdzisław   +3 more
openaire   +4 more sources

High‐Power Terahertz Emission from Picosecond Nano‐Plasma Switching Driven by Secondary Electron Emission Avalanche

open access: yesAdvanced Science, EarlyView.
A nano‐plasma device enables watt‐level on‐chip THz generation through picosecond switching triggered by secondary electron emission avalanche. An ultra‐dense electron sheet initiates nano‐plasma formation within a ∼100 nm gap, driving rapid energy release into an integrated resonator.
Guangyu Sun   +4 more
wiley   +1 more source

Diffusion Convection Equation with Variable Nonlinearities

open access: yesJournal of Function Spaces, 2017
The paper studies diffusion convection equation with variable nonlinearities and degeneracy on the boundary. Unlike the usual Dirichlet boundary value, only a partial boundary value condition is imposed.
Huashui Zhan
doaj   +1 more source

Existence of nontrivial weak solutions for nonuniformly elliptic equation with mixed boundary condition in a variable exponent Sobolev space

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
In In this paper, we consider a mixed boundary value problem for nonuniformly elliptic equation in a variable exponent Sobolev space containing $p(\cdot)$-Laplacian and mean curvature operator.
Junichi Aramaki
doaj   +1 more source

On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition

open access: yes, 2010
We consider a waveguide modeled by the Laplacian in a straight planar strip. The Dirichlet boundary condition is taken on the upper boundary, while on the lower boundary we impose periodically alternating Dirichlet and Neumann condition assuming the ...
Borisov, Denis   +2 more
core   +1 more source

CFD modeling and sensitivity‐guided design of silicon filament CVD reactors

open access: yesAIChE Journal, EarlyView.
Abstract Filament‐based chemical vapor deposition (CVD) for silicon (Si) coatings is often treated as an adaptation of planar deposition. But this overlooks fundamental shifts in transport phenomena and reaction kinetics. In filament CVD, the filament acts as a substrate, heat source, and flow disruptor simultaneously. In this work, we ask: What really
G. P. Gakis   +8 more
wiley   +1 more source

On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity [PDF]

open access: yes, 2011
In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{HouLei09a}.
Hou, Thomas Y., Shi, Zuoqiang, Wang, Shu
core   +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

open access: yesAdvanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang   +4 more
wiley   +1 more source

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