Results 21 to 30 of about 9,461,902 (204)

Weakly hyperbolic systems by symmetrization [PDF]

open access: yesANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2019
We study hyperbolic first order systems and propose a new method proving Gevrey well posedness, constructing a symmetrizer, motivated by a special Lyapunov function for linear ODE. The proof not only gives a priori estimates straightforward so simply but also clarifies some effects coming from the spectral structures other than the multiplicities of ...
Ferruccio Colombini   +2 more
openaire   +2 more sources

Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems [PDF]

open access: yes, 2006
We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Christoph Ortner   +3 more
core   +1 more source

The analysis of gas dynamics equations with initial and boundary conditions and the construction of the corresponding averaged system

open access: yesLietuvos Matematikos Rinkinys, 2013
In this paper hyperbolic system of the first order gas dynamics PDE with initial and boundary conditions is studied. The aim of the paper is to construct the averaged system of differential equations in order to find the uniformly valid in a large domain
Aleksandras Krylovas, Rima Kriauzienė
doaj   +1 more source

Necessary conditions for hyperbolic systems

open access: yesBulletin des Sciences Mathématiques, 2002
This paper deals with the Cauchy problem for first order hyperbolic system \(L(x,{\mathcal D})\) having characteristic points of higher multiplicity. In other words, the determinant of the principal symbol has multiple characteristic points. The authors consider the case when at a multiple characteristic point the principal symbol of the system has ...
Bove, Antonio, Nishitani, Tatsuo
openaire   +1 more source

Time discretization of an abstract problem from linearized equations of a coupled sound and heat flow

open access: yesElectronic Journal of Differential Equations, 2020
Recently, a time discretization of simultaneous abstract evolution equations applied to parabolic-hyperbolic phase-field systems has been studied. This article focuses on a time discretization of an abstract problem that has application to linearized
Shunsuke Kurima
doaj   +3 more sources

Correct conditions on the boundary separating subdomains [PDF]

open access: yesКомпьютерные исследования и моделирование, 2014
This paper presents definition and solution problem of correct conditions on the boundary, separating subdomains for hyperbolic linear equation systems.
Yuri I. Skalko
doaj   +1 more source

16th International Conference on Hyperbolic Problems : Theory, Numerics and Applications of Hyperbolic Problems

open access: yes, 2018
The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016.
Westdickenberg, Michael   +4 more
core   +2 more sources

A New Smoothness Indicator of Adaptive Order Weighted Essentially Non-Oscillatory Scheme for Hyperbolic Conservation Laws

open access: yesMathematics, 2020
Adaptive order weighted essentially non-oscillatory scheme (WENO-AO(5,3)) has increased the computational cost and complexity of the classic fifth-order WENO scheme by introducing a complicated smoothness indicator for fifth-order linear reconstruction ...
Omer Musa, Guoping Huang, Mingsheng Wang
doaj   +1 more source

Hyperbolicity and Rigidity for Fibred Partially Hyperbolic Systems

open access: yesJournal of Dynamics and Differential Equations
Every volume-preserving centre-bunched fibred partially hyperbolic system with 2-dimensional centre either (1) has two distinct centre Lyapunov exponents, or (2) exhibits an invariant continuous line field (or pair of line fields) tangent to the centre leaves, or (3) admits a continuous conformal structure on the centre leaves invariant under both the ...
Chakraborty, Sankhadip, Viana, Marcelo
openaire   +3 more sources

Distributed Control for Non-Cooperative Systems Governed by Time-Fractional Hyperbolic Operators

open access: yesFractal and Fractional
This paper studies distributed optimal control for non-cooperative systems involving time-fractional hyperbolic operators. Through the application of the Lax–Milgram theorem, we confirm the existence and uniqueness of weak solutions.
Hassan M. Serag   +3 more
doaj   +1 more source

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