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pro vyhledávání: '"Haspot, Boris"'
Autor:
Haspot, Boris, Jana, Animesh
We prove the existence of BV solutions for $2\times 2$ system of hyperbolic balance laws in one space dimension. The flux is assumed to have two genuinely nonlinear characteristic fields. We consider a general force which may possibly depend on time
Externí odkaz:
http://arxiv.org/abs/2408.00849
Autor:
Haspot, Boris, Jana, Animesh
We consider hyperbolic system with nonlinear viscosity such that the viscosity matrix $B(u)$ is commutating with $A(u)$ the matrix associated to the convective term. The drift matrix is assumed to be Temple class. First, we prove the global existence
Externí odkaz:
http://arxiv.org/abs/2407.12766
This paper deals with the existence of BV solution for the Euler-Poisson system endowed with a $\gamma$ pressure law. More precisely, we prove the existence of weak solution in the BV framework with arbitrary large initial data when $\gamma=1+2\epsil
Externí odkaz:
http://arxiv.org/abs/2109.13182
Autor:
Burtea, Cosmin, Haspot, Boris
In the first main result of this paper we prove that one can approximate discontinious solutions of the 1d Navier Stokes system with solutions of the 1d Navier-Stokes-Korteweg system as the capilarity parameter tends to 0. Moreover, we allow the visc
Externí odkaz:
http://arxiv.org/abs/2104.10915
Autor:
Haspot, Boris, Junca, Stéphane
The class of $2\times 2$ nonlinear hyperbolic systems with one genuinely nonlinear field and one linearly degenerate field are considered. Existence of global weak solutions for small initial data in fractional BV spaces $BV^s$ is proved. The exponen
Externí odkaz:
http://arxiv.org/abs/2004.02471
Autor:
Burtea, Cosmin, Haspot, Boris
In this paper we prove the existence of global strong solution for the Navier-Stokes equations with general degenerate viscosity coefficients. The cornerstone of the proof is the introduction of a new effective pressure which allows to obtain an Olei
Externí odkaz:
http://arxiv.org/abs/1902.02043
Autor:
Haspot, Boris
In this paper we investigate the question of the local existence of strong solution for the Korteweg system in critical spaces in dimension $N\geq 1$ provided that the initial data are small. More precisely the initial momentum $\rho_0 u_0$ belongs t
Externí odkaz:
http://arxiv.org/abs/1901.03139
Autor:
Haspot, Boris
We consider Navier-Stokes equations for compressible viscous fluids in the one-dimensional case with general viscosity coefficients. We prove the existence of global weak solution when the initial momentum $\rho_0 u_0$ belongs to the set of the finit
Externí odkaz:
http://arxiv.org/abs/1901.03150
Autor:
Haspot, Boris
In this paper we investigate the question of the existence of global weak solution for the compressible Navier Stokes equations provided that the initial momentum $\rho_0 u_0$ belongs to $\mbox{bmo}^{-1}(\mathbb{R}^N)$ with $N= 2,3$ and is radially s
Externí odkaz:
http://arxiv.org/abs/1901.03143
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