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Finite Volume Evolution Galerkin Methods for Nonlinear Hyperbolic Systems
We present new truly multidimensional schemes of higher order within the framework of finite volume evolution Galerkin (FVEG) methods for systems of nonlinear hyperbolic conservation laws. These methods couple a finite volume formul...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Asymptotic behaviour of a quasilinear hyperbolic equation with hysteresis
The paper deals with the asymptotic behaviour of the solution of a quasilinear hyperbolic equation with hysteresis. A stability result for solution in $L^{1}(Omega)$ is derived by the nonlinear semigroup approach....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Continuity of solutions of a quasilinear hyperbolic equation with hysteresis
This paper is devoted to the investigation of quasilinear hyperbolic equations of first order with convex and nonconvex hysteresis operator. It is shown that in the nonconvex case the equation, whose nonlinearity i...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Hysteresis in a first order hyperbolic equation
We study a hyperbolic equation of first order with hysteresis nonlinearity. For the integral solution of this equation we derive an entropy condition of the type introduced by Kruv{z}kov. This is proved without the...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
RESIDUAL BASED ERROR ESTIMATES FOR THE SPACE-TIME DISCONTINUOUS GALERKIN METHOD APPLIED TO NONLINEAR HYPERBOLIC EQUATIONS
We present an adaptive numerical method for solving nonlinear hyperbolic equations. The method uses the space-time discontinuous Galerkin discretization, exploiting its high polynomial approximation degrees with respect to ...
BA - Obecná matematika
- 2016 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
A MOMENT APPROACH FOR ENTROPY SOLUTIONS TO NONLINEAR HYPERBOLIC PDES
We propose to solve hyperbolic partial differential equations (PDEs weak notion of solution of the nonlinear equation, namely the measure-valued (mv) solution, satisfying a linear equation in the space of ...
Applied mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Global existence for a nonlinear model of 1D chemically reacting viscoelastic body
In this paper we show existence of a global classical solution to a quasilinear hyperbolic integrodifferential equation of non-convolutionary type for small data. We apply the result to show global existence for a one-dimensional mo...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Output regulation problem with nonhyperbolic zero dynamics: femlab-based approach
The output regulation problem for the nonlinear systems with non-hyperbolic regulator equation being rather non-standard first order PDE combined with an algebraic equation. Its solvability, as well as the correspo...
BC - Teorie a systémy řízení
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Finite volume evolution Galerkin methods for multidimensional hyperbolic systems
We study FV EG methods for nonlinear problems.
BK - Mechanika tekutin
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Analytical Approximation Method for the Center Manifold in the Nonlinear Output Regulation Problem
In nonlinear output regulation problems, it is necessary to solve the so-called regulator equations consisting of a partial differential equation and an algebraic equation. It is known that, for the hyperbolic<...
BC - Teorie a systémy řízení
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
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