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Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier?Stokes system
We introduce the notion of relative entropy for the weak solutions to the compressible Navier?Stokes system. In particular, we show that any finite energy weak solution satisfies a relative entropy
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations
$, $gamma }1$. We show that for any $gamma}frac 32$ there exists a variational entropy solution (i.e. solution satisfying the weak formulation of balance of mass and momentum, entropy inequality and global...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On steady solutions to a model of chemically reacting heat conducting compressible mixture with slip boundary conditions
on the model parameters, we establish existence of either weak or variational entropy solutions. The results extend the range of parameters for which the existence of weak solutions is known in the case o...
Pure mathematics
- 2018 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
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MULTI-DIMENSIONAL SCALAR CONSERVATION LAWS WITH FLUXES DISCONTINUOUS IN THE UNKNOWN AND THE SPATIAL VARIABLE
on the structure of possible discontinuities, we formulate an appropriate notion of entropy solution and establish its existence and uniqueness. The framework for proving the existence and uniqueness of entropy weak
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Weak and variational entropy solutions to the system describing steady flow of a compressible reactive mixture
the variational entropy solution for this model and prove existence of a weak solution for gamma > 4/3 and existence of a variational entropy solution for any gamma > 1......
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Relative entropies in thermodynamics of complete fluid systems
time behavior of solutions and the problem of weak-strong uniqueness.We introduce the notion of relative entropy in the framework of thermodynamics of compressible, viscous and heat conducting fluids. The relative entr...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
ON SCALAR HYPERBOLIC CONSERVATION LAWS WITH A DISCONTINUOUS FLUX
of the flux at zero, we prove the uniqueness of entropy measure-valued solution, and as a consequence, we establish the existence and uniqueness of weak entropy solution. that can have jump discontinuitie...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
THERMISTOR SYSTEMS OF p(x)-LAPLACE-TYPE WITH DISCONTINUOUS EXPONENTS VIA ENTROPY SOLUTIONS
the existence of a weak solution under very weak assumptions on the data. Our existence proof is based on Schauder's fixed point theorem and the concept of entropy of the entropy solutions o...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids
We introduce a class of suitable weak solutions to the Navier-Stokes system of equations governing the motion of a compressible viscous fluid. These solutions satisfy the relative entropy inequality introduced by s...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Weak and variational solutions to steady equations for compressible heat conducting fluids
existence of a variational entropy solution (i.e. solution satisfying balance of mass, momentum, entropy inequality and global balance of total energy) for $gamma >frac{3+sqrt{41}}{8}$ which is a weak
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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