The Experts below are selected from a list of 1608 Experts worldwide ranked by ideXlab platform
Adam Bloch - One of the best experts on this subject based on the ideXlab platform.
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Telegraph Systems on networks and port hamiltonians i boundary conditions and well posedness
Evolution Equations and Control Theory, 2021Co-Authors: Jacek Banasiak, Adam BlochAbstract:The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff's-type at the nodes. We discuss the reduction of such a problem to a system of 1-dimensional hyperbolic problems for the associated Riemann invariants and provide a semigroup-theoretic proof of its well-posedness. A number of examples showing the relation of our results with recent research is also provided.
Jacek Banasiak - One of the best experts on this subject based on the ideXlab platform.
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Telegraph Systems on networks and port hamiltonians i boundary conditions and well posedness
Evolution Equations and Control Theory, 2021Co-Authors: Jacek Banasiak, Adam BlochAbstract:The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff's-type at the nodes. We discuss the reduction of such a problem to a system of 1-dimensional hyperbolic problems for the associated Riemann invariants and provide a semigroup-theoretic proof of its well-posedness. A number of examples showing the relation of our results with recent research is also provided.
Hu Yulan - One of the best experts on this subject based on the ideXlab platform.
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Some Approaches to the Calculation of Conservation Laws for a Telegraph System and Their Comparisons
MDPI AG, 2018Co-Authors: Eerdun Buhe, G.w. Bluman, Chen Alatancang, Hu YulanAbstract:This paper applies the direct construction method, symmetry/adjoint symmetry pair method (SA method), symmetry action on a known conservation law method, Ibragimov’s conservation theorem (which always yields the same results as the SA method) and a recursion formula to calculate several conservation laws for nonlinear Telegraph Systems. In addition, a comparison is made between these methods for conservation laws admitted by nonlinear Telegraph Systems
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Some Approaches to the Calculation of Conservation Laws for a Telegraph System and Their Comparisons
'MDPI AG', 2018Co-Authors: Buhe Eerdun, Bluman G.w., Alatancang Chen, Hu YulanAbstract:This paper applies the direct construction method, symmetry/adjoint symmetry pair method (SA method), symmetry action on a known conservation law method, Ibragimov’s conservation theorem (which always yields the same results as the SA method) and a recursion formula to calculate several conservation laws for nonlinear Telegraph Systems. In addition, a comparison is made between these methods for conservation laws admitted by nonlinear Telegraph Systems.Science, Faculty ofNon UBCMathematics, Department ofReviewedFacult
Peiguang Wang - One of the best experts on this subject based on the ideXlab platform.
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rapid convergence for Telegraph Systems with periodic boundary conditions
Journal of Function Spaces and Applications, 2017Co-Authors: Peiguang WangAbstract:The generalized quasilinearization method is applied in this paper to a Telegraph system with periodic boundary conditions. We consider the case in which the forcing function satisfies the following condition: exists and is quasimonotone nondecreasing or nonincreasing. We develop nonlinear iterates of order which will be different with being even or odd. Finally, we develop two sequences which converge to the solution of the Telegraph system and the convergence is of order .
Błoch Adam - One of the best experts on this subject based on the ideXlab platform.
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Telegraph Systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness
2021Co-Authors: Banasiak Jacek, Błoch AdamAbstract:The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff's type at the nodes. We discuss the reduction of such a problem to a system of 1-dimensional hyperbolic problems for the associated Riemann invariants and provide a semigroup theoretic proof of its well-posedness. A number of examples showing the relation of our results with recent research is also provided.Comment: 35 page
