A general decay result of a wave equation with a dynamic boundary control of diffusive type
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5544
Abstract: We study a wave equation with a dynamic boundary control of diffusive type. We establish optimal and explicit energy decay formula by using resolvent estimates. Our new result generalizes and improves the earlier related results… read more here.
Keywords: boundary control; wave equation; dynamic boundary; diffusive type ... See more keywords
An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01230-7
Abstract: In the paper we consider a finite-volume approximation for the Cahn-Hilliard equation with dynamic boundary conditions. We prove an error estimate for the fully-discrete scheme. We also give numerical simulations which validate the theoretical result. read more here.
Keywords: boundary conditions; finite volume; dynamic boundary; equation dynamic ... See more keywords
Dynamic boundary setting for discrete element method considering the seismic problems of rock masses
Sign Up to like & getrecommendations! Published in 2019 at "Granular Matter"
DOI: 10.1007/s10035-019-0918-2
Abstract: The discrete element method (DEM) provides an effective approach to analyse the large deformations and discontinuous problems in geotechnical engineering. In this paper, to improve the capability of DEM for seismic response analysis of rock… read more here.
Keywords: element method; boundary setting; dynamic boundary; rock masses ... See more keywords
On the Boussinesq–Burgers equations driven by dynamic boundary conditions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.10.023
Abstract: Abstract We study the qualitative behavior of the Boussinesq–Burgers equations on a finite interval subject to the Dirichlet type dynamic boundary conditions. Assuming H 1 × H 2 initial data which are compatible with boundary… read more here.
Keywords: burgers equations; boundary conditions; boussinesq burgers; driven dynamic ... See more keywords
On boundary detachment phenomena for the total variation flow with dynamic boundary conditions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.015
Abstract: We combine the total variation flow suitable for crystal modeling and image analysis with the dynamic boundary conditions. We analyze the behavior of facets at the parts of the boundary where these conditions are imposed.… read more here.
Keywords: dynamic boundary; total variation; variation flow; boundary conditions ... See more keywords
Dynamic Boundary Layer Simulation of Pulsed CO2 Electrolysis on a Copper Catalyst
Sign Up to like & getrecommendations! Published in 2021 at "ACS energy letters"
DOI: 10.1021/acsenergylett.1c00364
Abstract: Pulsed electrolysis has been demonstrated to improve the faradaic efficiency (FE) to C2+ products during the electrochemical reduction of CO2 over a Cu catalyst, but the nature of this enhancement ... read more here.
Keywords: catalyst; electrolysis; boundary layer; simulation pulsed ... See more keywords
On the identification of the heat conductivity distribution from partial dynamic boundary measurements
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1698723
Abstract: ABSTRACT This work deals with an inverse boundary value problem arising from the equation of heat conduction. We reconstruct small perturbations of the (isotropic) heat conductivity distribution from partial (on accessible part of the boundary)… read more here.
Keywords: distribution partial; heat conductivity; conductivity distribution; dynamic boundary ... See more keywords
Dynamic boundary of floating platform and its influence on the deepwater testing tube
Sign Up to like & getrecommendations! Published in 2020 at "European Journal of Remote Sensing"
DOI: 10.1080/22797254.2020.1762246
Abstract: ABSTRACT The motion of the floating platform is one of the important factors influencing the safety of testing string. The allowable motion limits of various floating drilling platforms are discussed and their calculation formulas are… read more here.
Keywords: motion; testing tube; floating platform; dynamic boundary ... See more keywords
Velocity Stabilization of a Wave Equation With a Nonlinear Dynamic Boundary Condition
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3136086
Abstract: This article deals with a one-dimensional (1-D) wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a class of nonlinear stabilizing feedbacks that only… read more here.
Keywords: wave equation; equation nonlinear; nonlinear dynamic; boundary condition ... See more keywords
A Time-Dependent Strange Term Arising in Homogenization of an Elliptic Problem with Rapidly Alternating Neumann and Dynamic Boundary Conditions Specified at the Domain Boundary: The Critical Case
Sign Up to like & getrecommendations! Published in 2020 at "Doklady Mathematics"
DOI: 10.1134/s106456242002009x
Abstract: A strange term arising in the homogenization of elliptic (and parabolic) equations with dynamic boundary conditions given on some boundary parts of critical size is considered. A problem with dynamic boundary conditions given on the… read more here.
Keywords: boundary conditions; arising homogenization; term arising; dynamic boundary ... See more keywords
Improving predictability of high ozone episodes through dynamic boundary conditions, emission refresh and chemical data assimilation during the Long Island Sound Tropospheric Ozone Study (LISTOS) field campaign
Sign Up to like & getrecommendations! Published in 2021 at "Atmospheric Chemistry and Physics"
DOI: 10.5194/acp-2020-1291
Abstract: Abstract. Although air quality in the United States improved remarkably in the past decades, ground-level ozone (O3) rises often in exceedance of the national ambient air quality standard in nonattainment areas, including the Long Island… read more here.
Keywords: island sound; system; boundary conditions; ozone ... See more keywords