ℒ-Splines and Viscosity Limits for Well-Balanced Schemes Acting on Linear Parabolic Equations
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-017-0122-5
Abstract: Well-balanced schemes, nowadays mostly developed for both hyperbolic and kinetic equations, are extended in order to handle linear parabolic equations, too. By considering the variational solution of the resulting stationary boundary-value problem, a simple criterion… read more here.
Keywords: balanced schemes; splines viscosity; linear parabolic; parabolic equations ... See more keywords
Generation of Linear and Parabolic Concentration Gradients by Using a Christmas Tree-Shaped Microfluidic Network
Sign Up to like & getrecommendations! Published in 2018 at "Wuhan University Journal of Natural Sciences"
DOI: 10.1007/s11859-018-1317-y
Abstract: This paper describes a simple method of generating concentration gradients with linear and parabolic profiles by using a Christmas tree-shaped microfluidic network. The microfluidic gradient generator consists of two parts: a Christmas tree-shaped network for… read more here.
Keywords: microfluidic network; network; christmas tree; linear parabolic ... See more keywords
Linear-parabolic transition in reactive diffusion – A concept of kinetic modelling
Sign Up to like & getrecommendations! Published in 2017 at "Computational Materials Science"
DOI: 10.1016/j.commatsci.2017.06.009
Abstract: Abstract In Erdelyi and Schmitz (2012) a flexible concept for the computational description of the phase formation and growth in solid state reactions was described. Unlike in other established approaches, it is not required to… read more here.
Keywords: concept; transition; linear parabolic; modelling linear ... See more keywords
On the maximal L-L regularity of solutions to a general linear parabolic system
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.09.058
Abstract: We show the existence of solution in the maximal $L_p-L_q$ regularity framework to a class of symmetric parabolic problems on a uniformly $C^2$ domain in ${\mathcal R}$. Our approach consist in showing ${\mathcal R}$ -… read more here.
Keywords: maximal regularity; linear parabolic; regularity; general linear ... See more keywords
The transition from linear to-parabolic growth of Cu3Si phase in Cu/a-Si system
Sign Up to like & getrecommendations! Published in 2018 at "Scripta Materialia"
DOI: 10.1016/j.scriptamat.2018.01.035
Abstract: Abstract The solid state reaction between Cu and a-Si films was investigated at 150–200 °C by depth profiling with secondary neutral mass spectrometry. Intermixing was observed leading to the formation of a homogeneous Cu 3 Si… read more here.
Keywords: growth cu3si; transition; parabolic growth; linear parabolic ... See more keywords
Free-surface long wave propagation over linear and parabolic transition shelves
Sign Up to like & getrecommendations! Published in 2018 at "Water science and engineering"
DOI: 10.1016/j.wse.2019.01.001
Abstract: Abstract Long-period waves pose a threat to coastal communities as they propagate from deep ocean to shallow coastal waters. At the coastline, such waves have a greater height and longer period in comparison with local… read more here.
Keywords: surface long; water; linear parabolic; free surface ... See more keywords
Finite element approach to linear parabolic pointwise control problems of incomplete data
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DOI: 10.1080/00207721.2020.1799107
Abstract: In this paper we give a priori error estimates for finite element approximations of linear parabolic problems with pointwise control and incomplete data. We discretise the optimal control problem by using piecewise linear and continuous… read more here.
Keywords: finite element; control; linear parabolic; element approach ... See more keywords
Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2018.2802422
Abstract: This paper considers the backstepping design of state feedback controllers for coupled linear parabolic partial integro-differential equations (PIDEs) of Volterra-type with distinct diffusion coefficients, spatially varying parameters and mixed boundary conditions. The corresponding target system… read more here.
Keywords: control; linear parabolic; parabolic pides; coupled linear ... See more keywords
Modification of the Dynamic Regularization Method for Linear Parabolic Equations
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DOI: 10.1134/s00122661200110063
Abstract: We consider the problem of reconstructing distributed inputs (disturbances) in linear parabolic equations. An algorithm for solving this problem is given. An upper bound for the convergence rate is established for the case in which… read more here.
Keywords: equations modification; modification dynamic; linear parabolic; regularization method ... See more keywords