Searched for: subject%3A%22boundary%255C%2Bvalue%255C%2Bproblems%22
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van Wijk, Thijs (author)
In this work we investigate two boundary-value control algorithms for the heat equation on the finite interval. The algorithms we discuss here are based on the unified transform method (UTM), a method invented by A. S. Fokas to solve boundary value problems of partial differential equations. We first inspect the boundary-value control algorithm...
master thesis 2023
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Fečkan, Michal (author), Marynets, K. (author), Wang, J. (author)
We study a boundary value problem for a Caputo-type fractional differential equation subjected to periodic boundary conditions. For an auxiliary problem with the simplified right-hand side, we explicitly construct its unique solution. In addition, based on the theory of the topological index, we prove existence of at least one solution to the...
journal article 2023
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Nain, Philippe (author), Vardoyan, G.S. (author), Guha, Saikat (author), Towsley, Don (author)
We study a quantum switch that distributes tripartite entangled states to sets of users. The entanglement switching process requires two steps: First, each user attempts to generate bipartite entanglement between itself and the switch, and second, the switch performs local operations and a measurement to create multipartite entanglement for a...
journal article 2022
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Marynets, Vasyl (author), Marynets, K. (author), Kohutych, Oksana (author)
We study a boundary value problem for nonlinear partial differential equations of the hyperbolic type on the plain in a domain with a complex boundary. To find the missing data for the given boundary constraints, we solve a supplementary nonlinear problem. For the approximation of solutions, one constructive method is built.
journal article 2021
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Chu, Jifeng (author), Marynets, K. (author)
The aim of this paper is to study one class of nonlinear differential equations, which model the Antarctic circumpolar current. We prove the existence results for such equations related to the geophysical relevant boundary conditions. First, based on the weighted eigenvalues and the theory of topological degree, we study the semilinear case....
journal article 2021
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Marynets, K. (author)
We studied one essentially nonlinear two–point boundary value problem for a system of fractional differential equations. An original parametrization technique and a dichotomy-type approach led to investigation of solutions of two “model”-type fractional boundary value problems, containing some artificially introduced parameters. The approximate...
journal article 2021
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Marynets, K. (author)
We investigate the boundary-value problem that models wind-induced equatorial<br/>flows, establishing the existence and uniqueness of solutions. We also discuss some special cases that were studied in recent geophysical research.
journal article 2021
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Feckan, Michal (author), Marynets, K. (author)
We present original results in study of the second-order differential equation with exponential non-linearities, subjected to the Dirichlet boundary conditions. Using the proper substitution techniques, we reduce the given problem to the study of its lower and upper solutions.
journal article 2020
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Marynets, K. (author)
We discuss a mathematical model for the equatorial current across the Pacific Ocean, obtained as a leading-order solution to the Navier-Stokes governing equations for geophysical flows in a rotating frame.
journal article 2020
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Lindemulder, N. (author)
This thesis is concerned with the maximal regularity problem for parabolic boundary value problems with inhomogeneous boundary conditions in the setting of weighted function spaces and related function space theoretic problems.<br/>This in particularly includes weighted $L_{q}$-$L_{p}$-maximal regularity but also weighted $L_{q}$-maximal...
doctoral thesis 2019
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Lindemulder, N. (author)
In this paper, we establish weighted L<sup>q</sup>–L<sup>p</sup>-maximal regularity for linear vector-valued parabolic initial-boundary value problems with inhomogeneous boundary conditions of static type. The weights we consider are power weights in time and in space, and yield flexibility in the optimal regularity of the initial-boundary...
journal article 2019
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Oudhof, Nathalie (author)
In this thesis we look at the most cost-<br/>effective trajectory for power limited rockets, i.e. the trajectory which costs the least amount of propellant. First some background information as well as the differences between thrust limited and power limited rockets will be discussed. Then the optimal trajectory for thrust limited rockets, the...
bachelor thesis 2017
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Mohammadi, V. (author), Nihtianov, S. (author)
The lateral gas phase diffusion length of boron atoms, LB, along silicon and boron surfaces during chemical vapor deposition(CVD) using diborane (B2H6) is reported. The value of LB is critical for reliable and uniform boron layer coverage. The presented information was obtained experimentally and confirmed analytically in the...
journal article 2016
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Rohe, A. (author)
To solve problems in geotechnical engineering often numerical methods such as the Finite Element Method (FEM) are used. This method can be applied for example for the calculation of the strength of dikes, the determination of the stability of (rail)road embankments, the prediction of deformations due to landfills, or the analysis of subsurface...
doctoral thesis 2013
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Veling, E.J.M. (author)
The analytical solution is presented to the convection–diffusion equation describing the concentration of solutes in a radial velocity field due to extracting groundwater from or injecting water into an aquifer with arbitrary initial concentration data F(r), with r the radial distance, and an inhomogeneous mixed boundary condition G(t), with t...
journal article 2012
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Klees, R. (author), Prutkin, I. (author)
We propose a methodology for the combination of a gravimetric (quasi-) geoid with GNSS-levelling data in the presence of noise with correlations and/or spatially varying noise variances. It comprises two steps: first, a gravimetric (quasi-) geoid is computed using the available gravity data, which, in a second step, is improved using ellipsoidal...
journal article 2010
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Poletto, F. (author), Wapenaar, C.P.A. (author)
The virtual reflector method simulates new seismic signals by processing traces recorded by a plurality of sources and receivers. The approach is based on the crossconvolution of the recorded signals and makes it possible to obtain the Green’s function of virtual reflected signals as if in the position of the receivers (or sources) there were a...
journal article 2009
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Brau, F. (author), Luque, A. (author), Meulenbroek, B. (author), Ebert, U. (author), Schäfer, L. (author)
Starting from the minimal model for the electrically interacting densities of electrons and ions in negative streamer discharges, we derive a moving boundary approximation for the ionization fronts. Solutions of the moving boundary model have already been discussed, but the derivation of the model was postponed to the present paper. The key...
journal article 2008
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Ten Thije Boonkkamp, J.H.M. (author), Rook, R. (author), Mattheij, R.M.M. (author)
We have developed a numerical simulation code for laminar premixed flames, based on the isobaric model. The main numerical techniques employed are: the finite volume method in combination with an exponential flux approximation scheme for space discretisation, a pressure-correction (PC) method to decouple the computation of the velocity and...
conference paper 2006
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Petit, H.A.H. (author), Bosch, P. van den (author)
report 1997
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