Simulation of three‐dimensional nonlinear water waves using a pseudospectral volumetric method with an artificial boundary condition
Sign Up to like & getrecommendations! Published in 2021 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4956
Abstract: This article presents a pseudospectral method for the simulation of nonlinear water waves described by potential flow theory in three spatial dimensions. The method utilizes an artificial boundary condition that limits the vertical extent of… read more here.
Keywords: nonlinear water; artificial boundary; method; boundary condition ... See more keywords
On a two‐phase Stefan problem with convective boundary condition including a density jump at the free boundary
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6152
Abstract: We consider a two‐phase Stefan problem for a semi‐infinite body x>0, with a convective boundary condition including a density jump at the free boundary with a time‐dependent heat transfer coefficient of the type h/t ,… read more here.
Keywords: density; free boundary; boundary condition; problem ... See more keywords
Logarithmic Stabilization of the Schrödinger Equation With Dynamic Boundary Condition
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.70235
Abstract: This paper addresses the stabilization problem for the Schrödinger equation with dynamic boundary condition of Wentzell type. Under suitable assumption about the damping domain, we demonstrate that sufficiently smooth solutions of the Schrödinger equation decay… read more here.
Keywords: equation; schr dinger; equation dynamic; boundary condition ... See more keywords
Taming boundary condition changing operator anomalies with the tachyon vacuum
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2019)027
Abstract: A bstractMotivated by the appearance of associativity anomalies in the context of superstring field theory, we give a generalized solution built from boundary condition changing operators which can be associated to a generic tachyon vacuum… read more here.
Keywords: boundary condition; condition changing; vacuum; tachyon vacuum ... See more keywords
The Landau Equation with the Specular Reflection Boundary Condition
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-020-01496-5
Abstract: The existence and stability of the Landau equation (1936) in a general bounded domain with a physical boundary condition is a long-outstanding open problem. This work proves the global stability of the Landau equation with… read more here.
Keywords: reflection boundary; boundary condition; specular reflection; equation ... See more keywords
Semi-analytical solution for the generalized absorbing boundary condition in molecular dynamics simulations
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mechanics"
DOI: 10.1007/s00466-017-1389-0
Abstract: We present a semi-analytical solution of a time-history kernel for the generalized absorbing boundary condition in molecular dynamics (MD) simulations. To facilitate the kernel derivation, the concept of virtual atoms in real space that can… read more here.
Keywords: absorbing boundary; semi analytical; analytical solution; boundary condition ... See more keywords
A novel kinetic-based slip velocity boundary condition suitable for compressible gas flows in micro-/nanochannels
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mechanica"
DOI: 10.1007/s00707-018-2236-x
Abstract: Micro-/nanoscale gaseous flow are widely used in various industrial applications such as micro-/nanosensors, hard disk drives, etc. The purpose of the current paper is to introduce a novel slip velocity boundary condition for any flat… read more here.
Keywords: slip velocity; condition; gas; boundary condition ... See more keywords
Optimal Artificial Boundary Condition for Random Elliptic Media
Sign Up to like & getrecommendations! Published in 2018 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-021-09492-1
Abstract: We are given a uniformly elliptic coefficient field that we regard as a realization of a stationary and finite-range (say, range unity) ensemble of coefficient fields. Given a (deterministic) right-hand-side supported in a ball of… read more here.
Keywords: boundary condition; artificial boundary; size; random ... See more keywords
Implementation of a specific boundary condition for a simplified symmetric single-path CFD lung model with OpenFOAM
Sign Up to like & getrecommendations! Published in 2019 at "Biomechanics and Modeling in Mechanobiology"
DOI: 10.1007/s10237-019-01174-w
Abstract: CFD modeling research about the lung airflow with a complete resolution and an adequate accuracy at all scales requires a great amount of computational resources due to the vast number of necessary grid elements. As… read more here.
Keywords: boundary condition; implementation; condition; model ... See more keywords
All Good Things Must Come to an End: a Potential Boundary Condition on the Potency of Successive Relearning
Sign Up to like & getrecommendations! Published in 2020 at "Educational Psychology Review"
DOI: 10.1007/s10648-020-09528-y
Abstract: Successive relearning involves practicing to-be-learned content until a designated level of mastery is achieved in each of multiple practice sessions. As compared with practicing the content to the same criterion in a single session, successive… read more here.
Keywords: successive relearning; potential boundary; potency successive; boundary condition ... See more keywords
On the structure of discrete spectrum of a non-selfadjoint system of differential equations with integral boundary condition
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-017-0737-9
Abstract: In this paper, we investigated the spectrum of the operator $$L(\lambda )$$L(λ) generated in Hilbert Space of vector-valued functions $$L_{2}(\mathbb {R}_{+},C_{2})$$L2(R+,C2) by the system $$\begin{aligned} iy_{1}^{'}(x,\lambda )+q_{1}(x)y_{2}(x,\lambda )&=\lambda y_{1}(x,\lambda )\\ -iy_{2}^{'}(x,\lambda )+q_{2}(x)y_{1}(x,\lambda )&=\lambda y_{2}(x,\lambda ),x\in… read more here.
Keywords: lambda; lambda lambda; boundary condition; spectrum ... See more keywords