Results 21 to 30 of about 32,373 (309)

Smoothness of holonomies for codimension 1 hyperbolic dynamics [PDF]

open access: yes, 2002
Hyperbolic invariant sets {Lambda} of C1+{gamma} diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper.
A. A. Pinto   +5 more
core   +1 more source

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

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 ...
Suli, Endre   +5 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

On a hyperbolic-parabolic chemotaxis system

open access: yesMathematical Biosciences and Engineering, 2023
<abstract><p>Stability of steady state solutions associated with initial and boundary value problems of a coupled fluid-reaction-diffusion system in one space dimension is analyzed. It is shown that under Dirichlet-Dirichlet type boundary conditions, non-trivial steady state solutions exist and are locally stable when the system parameters ...
Hongyun Peng, Kun Zhao
openaire   +3 more sources

Weak Solutions for a Simple Hyperbolic System [PDF]

open access: yes, 2001
The model studied concerns a simple first-order hyperbolic system. The solutions in which one is most interested have discontinuities which persist for all time, and therefore need to be interpreted as weak solutions.
Lyne, Owen D., Williams, David S.
core   +1 more source

Absorbing boundary conditions for hyperbolic systems [PDF]

open access: yes, 2009
This paper deals with absorbing boundary conditions for hyperbolic systems in one and two space dimensions. We prove the strict well-posedness of the resulting initial boundary value problem in 1D.
Erhardt, Matthias   +2 more
core   +1 more source

Riemann Invariants and Rank-k Solutions of Hyperbolic Systems

open access: yes, 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
core   +1 more source

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

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