Results 41 to 50 of about 537,575 (240)
Acta Scientiarum: TechnologyThe main aim of the study is to deepen understanding of quasilinear hyperbolic systems through the investigation of their asymptotic solutions, with specific objectives related to theoretical analysis, wave dynamics characterization, and practical ...
Dayong Nie
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Riemann Invariants and Rank-k Solutions of Hyperbolic Systems
, 2006 In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Huard, Benoit, Grundland, A. Michel
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Optimal control on a metric graph for a damped linear fractional hyperbolic problem
Results in Control and OptimizationThe optimal control of fractional PDEs has been extensively studied in standard domains, but the existence and uniqueness of optimal controls in metric graphs, particularly for hyperbolic equations, remain less explored.
Pasquini Fotsing Soh
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Numerical solution of special ultra-relativistic Euler equations using central upwind scheme
Results in Physics, 2018 This article is concerned with the numerical approximation of one and two-dimensional special ultra-relativistic Euler equations. The governing equations are coupled first-order nonlinear hyperbolic partial differential equations.
Tayabia Ghaffar +2 more
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Exact boundary synchronization for a kind of first order hyperbolic system
E S A I M: Control, Optimisation and Calculus of Variations, 2022 In recent years there have been many in-depth researches on the boundary controllability and boundary synchronization for coupled systems of wave equations with various types of boundary conditions.
Tatsien Li, Xing Lu
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Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems [PDF]
SIAM Journal on Numerical Analysis, 2015 We propose a numerical method to solve general hyperbolic systems in any space dimension using forward Euler time stepping and continuous finite elements on non-uniform grids.
J. Guermond, B. Popov
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Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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Smoothing solutions to initial-boundary problems for first-order hyperbolic systems [PDF]
, 2009 We consider initial-boundary problems for general linear first-order strictly hyperbolic systems with local or nonlocal nonlinear boundary conditions.
I. Kmit
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Revisiting the nonlinear Gaussian noise model for hybrid fiber spans
Intelligent and Converged Networks, 2021 We rederive from first principles and generalize the theoretical framework of the nonlinear Gaussian noise model to the case of coherent optical systems with multiple fiber types per span and ideal Nyquist spectra.
Ioannis Roudas +2 more
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Mixed Problem for Hyperbolic Systems of First Order
Publications of the Research Institute for Mathematical Sciences, 1972 In the last ten years, a general theory of mixed problems for linear hyperbolic systems of first order has been developed. In this paper, we treat the L2 well-posed mixed problems for strongly hyperbolic systems of first order with constant coefficients.
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