Results 171 to 180 of about 537,575 (240)

On the boundary controllability of first-order hyperbolic systems

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ANCONA F, COCLITE, Giuseppe Maria
exaly   +6 more sources

An explicit mapping from linear first order hyperbolic PDEs to difference systems

Systems and Control Letters, 2019
In this paper, we prove that the space generated by the solutions of a general class of first-order hyperbolic PDEs is isomorphic to the space generated by the solutions of a difference equation with distributed delays.
Jean Auriol, Florent Di Meglio
exaly   +2 more sources

Tangential Characteristic Symmetries and First Order Hyperbolic Systems

Applicable Algebra in Engineering, Communication and Computing, 2001
The systems studied here comprise two equations for two functions of two variables. Such a system is assumed to define a smooth submanifold \({\mathcal R}^6 \subset J^1({\mathbb R}^2,{\mathbb R}^2)\), equipped with a smooth codimension-two distribution \(\Sigma\) to which the 1-graph of any solution is tangent; hyperbolicity gives a canonical splitting
P. Vassiliou
openaire   +2 more sources

A first-order hyperbolic reformulation of the Cahn-Hilliard equation

open access: yesarXiv.org
In this paper we present a new first-order hyperbolic reformulation of the Cahn-Hilliard equation. The model is obtained from the combination of augmented Lagrangian techniques proposed earlier by the authors of this paper, with a classical Cattaneo-type
Firas Dhaouadi, M. Dumbser, S. Gavrilyuk
semanticscholar   +3 more sources

Convergence of first-order quasilinear hyperbolic systems to hyperbolic-parabolic systems

open access: yesNonlinear Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yue-Jun Peng, Shuimiao Du
openaire   +2 more sources

Singular Perturbations of First-Order Hyperbolic Systems

1993
This work develops the singular perturbation theory for initial-value problems of nonlinear first-order hyperbolic systems in several space variables. The results can be applied to many physical problems in the kinetic theory, MHD, gas dynamics with relaxation, inviscid reactive flow, traffic flow, river flow, glacier flow, certain chemical exchange ...
W. Yong
openaire   +2 more sources

Least‐squares finite elements for first‐order hyperbolic systems

International Journal for Numerical Methods in Engineering, 1988
AbstractA class of least‐squares finite element methods has been developed for first‐order systems and here we study this approach for hyperbolic problems. The formulation of the least‐squares method is developed in detail and compared with the Petrov‐Galerkin and Taylor‐Galerkin procedures.
Carey, Graham F., Jiang, B. N.
openaire   +2 more sources

Asymptotic integration of first-order hyperbolic systems

Lithuanian Mathematical Journal, 1984
This paper deals with the two dimensional Cauchy problem: \[ \partial u_ j/\partial t+\lambda_ j(\partial u_ j/\partial x)=\epsilon f_ j(u_ 1,...,u_ n) \] \[ u_ j(0,x,\epsilon)=u_{j0}(x)+(\sum^{k}_{i=1}\epsilon^ iu_{ji}(x))+\epsilon^{k+1}u_{jk+1}(x,\epsilon) \] involving a small parameter \(\epsilon >0\) and real numbers \(\lambda_ 1,...,\lambda_ n ...
A. Krylov
openaire   +3 more sources

Iterative learning control with high-order internal model for first-order hyperbolic systems.

ISA transactions, 2021
This paper studies the iterative learning control (ILC) algorithm for first-order hyperbolic systems. Unlike most of the ILC literature of distributed parameter systems, in the iteration domain, that require identical desired trajectories.
Panpan Gu, Senping Tian
semanticscholar   +1 more source

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