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Regularity and energy conservation for the compressible Euler equations
We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On the high friction limit for the complete Euler system
We show that solutions of the complete Euler system of gas dynamics perturbed by a friction term converge to a solution of the porous medium equation in the high friction/long time limit. The result holds in the largest pos...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Derivation of the inviscid compressible Primitive Equations
compressible Primitive Equations from the Euler system in a periodic channel, utilizingPrimitive Equations (PE) are an important model which is widely used in the geophysical research and the mathematical analysis...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On second order Hamiltonian systems
The aim of the paper is to announce some recent results concerning Hamiltonian theory. The case of second order Euler--Lagrange form non-affine in the sekond derivatives is studied. Its related second order Hamiltonian systems and g...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some remarks on the method of lines applied to nonstationary compressible Euler equations.
If the method of lines is applied to a nonstationary compressible Euler equations one gets a stiff nonlinear system of ordinary differential equations that is solved in time by standard software. Results of numeric...
BA - Obecná matematika
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
NUMERICAL SOLUTION OF COMPRESSIBLE STEADY FLOWS IN A 2D CHANNEL
The work deals with numerical solution of the system of Euler equations describing steady two dimensional invistcid compressible fluid flows in 2D channel and the system of Navier-Stokes equations describi...
BK - Mechanika tekutin
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type
This paper is dedicated to obtaining closed-form solutions of linear difference equations which are asymptotically close to the self-adjoint Euler-type difference equation. In this sense, the equation is related to...
Applied mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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LEPAGE EQUIVALENTS OF SECOND-ORDER EULER-LAGRANGE FORMS AND THE INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS
forms, representing Euler-Lagrange equations. They are fundamental for investigation of variational equations by means of exterior differential systems methods, with important of variational equations. In...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On convergence of approximate solutions to the compressible Euler system
We consider a sequence of approximate solutions to the compressible Euler system admitting uniform energy bounds and/or satisfying the relevant field equations solution of the associated Euler system. This...
Pure mathematics
- 2020 •
- JSC •
- Link
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JSC - Článek v periodiku v databázi SCOPUS
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Finite volume evolution Galerkin methods for Euler equations of gas dynamics
The aim of this paper is a derivation of a new multidimensional high-resolution finite volume evolution Galerkin method for system of the Euler equations of gas dynamics. Instead of solving one-dimensional Riemann problems ...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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