Results 11 to 20 of about 537,575 (240)
ENERGY ESTIMATES FOR WEAKLY HYPERBOLIC SYSTEMS OF THE FIRST ORDER [PDF]
Communications in Contemporary Mathematics, 2005 For a class of first-order weakly hyperbolic pseudo-differential systems with finite time degeneracy, well-posedness of the Cauchy problem is proved in an adapted scale of Sobolev spaces. These Sobolev spaces are constructed in correspondence to the hyperbolic operator under consideration, making use of ideas from the theory of elliptic boundary value
Dreher, M, Witt, Ingo
core +6 more sources
A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty [PDF]
Journal of Computational Physics, 2016 This paper is concerned with generalized polynomial chaos (gPC) approximation for first-order quasilinear hyperbolic systems with uncertainty. The one-dimensional (1D) hyperbolic system is first symmetrized with the aid of left eigenvector matrix of the ...
Kailiang Wu, Huazhong Tang, D. Xiu
semanticscholar +2 more sources
Hyperbolic to Parabolic Relaxation Theory for Quasilinear First Order Systems
Journal of Differential Equations, 2000 This paper is concerned with a quasilinear first-order system with a source term, and investigates the relaxation phenomena where the relaxed equilibria are described by means of an equation (or a system) of parabolic type. In particular a one-dimensional \(2\times 2\) system of genuinely nonlinear hyperbolic balance laws with a strong dissipative ...
MARCATI, PIERANGELO, RUBINO, BRUNO
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, 1981 A nonstandard finite element method for initial-boundary value problems for first-order hyperbolic systems in one space dimension with general boundary conditions is analyzed. The method can be considered as a generalization of the box scheme.
R. Winther
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Quarterly of Applied Mathematics, 2022 This paper identifies a non-(or /iso-)thermal variant of Ruggeri’s 1983 formulation of viscous heat-conductive fluid dynamics as a hyperbolic system of balance laws and shows that both the original model and this variant have (a) time-asymptotically ...
H. Freistühler
semanticscholar +1 more source
Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2020 The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order 2 × 2 linear hyperbolic systems.
Long Hu, Guillaume Olive
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Classical bounded and almost periodic solutions to quasilinear first-order hyperbolic systems in a strip [PDF]
Journal of Differential Equations, 2018 We consider boundary value problems for quasilinear first-order one-dimensional hyperbolic systems in a strip. The boundary conditions are supposed to be of a smoothing type, in the sense that the $L^2$-generalized solutions to the initial-boundary value
I. Kmit, L. Recke, V. Tkachenko
semanticscholar +1 more source
Analytic critical points of charged Rényi entropies from hyperbolic black holes
Journal of High Energy Physics, 2021 We analytically study phase transitions of holographic charged Rényi entropies in two gravitational systems dual to the N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at finite density and zero temperature.
Jie Ren
doaj +1 more source
Applying dynamical systems techniques to real ocean drifters [PDF]
Nonlinear Processes in Geophysics, 2022 This paper presents the first comprehensive comparison of several different dynamical-systems-based measures of stirring and Lagrangian coherence, computed from real ocean drifters.
I. I. Rypina +3 more
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Discrete Dynamics in Nature and Society, 2022 This paper deals with a leaderless consensus of semilinear first-order hyperbolic partial differential equation-based multiagent systems (HPDEMASs). A consensus controller under an undirected graph is designed.
Jiashu Dai +5 more
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