Zobrazeno 1 - 10
of 875
pro vyhledávání: '"Crin, A."'
We investigate the three-dimensional compressible Euler-Maxwell system, a model for simulating the transport of electrons interacting with propagating electromagnetic waves in semiconductor devices. First, we show the global well-posedness of classic
Externí odkaz:
http://arxiv.org/abs/2407.00277
We present a weak-strong uniqueness result for the inhomogeneous Navier-Stokes (INS) equations in $\mathbb{R}^d$ ($d=2,3$) for bounded initial densities that are far from vacuum. Given a strong solution within the class employed in Paicu, Zhang and Z
Externí odkaz:
http://arxiv.org/abs/2404.12858
We investigate the Navier-Stokes-Cattaneo-Christov (NSC) system in $\mathbb{R}^d$ ($d\geq3$), a model of heat-conductive compressible flows serving as a finite speed of propagation approximation of the Navier-Stokes-Fourier (NSF) system. Due to the p
Externí odkaz:
http://arxiv.org/abs/2404.07809
Autor:
Crin-Barat, Timothée, Manea, Dragoş
In this paper, we analyze the preservation of asymptotic properties of partially dissipative hyperbolic systems when switching to a discrete setting. We prove that one of the simplest consistent and unconditionally stable numerical methods - the cent
Externí odkaz:
http://arxiv.org/abs/2404.06380
We investigate the diffusive relaxation limit and the time-asymptotic stability of the Jin-Xin model toward viscous conservation laws in $\mathbb{R}^d$ with $d\geq1$. First, we establish uniform regularity estimates with respect to both the time and
Externí odkaz:
http://arxiv.org/abs/2311.04105
A new framework to obtain time-decay estimates for partially dissipative hyperbolic systems set on the real line is developed. Under the classical Shizuta-Kawashima (SK) stability condition, equivalent to the Kalman rank condition in control theory,
Externí odkaz:
http://arxiv.org/abs/2308.08280
Autor:
Crin-Barat, Timothée, Shou, Ling-Yun
We study the diffusive relaxation limit of the Jin-Xin system toward viscous conservation laws in the multi-dimensional setting. For initial data being small perturbations of a constant state in suitable homogeneous Besov norms, we prove the global w
Externí odkaz:
http://arxiv.org/abs/2211.10663
In this paper we investigate two types of relaxation processes quantitatively in the context of small data global-in-time solutions for compressible one-velocity multi-fluid models. First, we justify the pressure-relaxation limit from a one-velocity
Externí odkaz:
http://arxiv.org/abs/2211.08781
We prove the nonlinear asymptotic stability of stably stratified solutions to the Incompressible Porous Media equation (IPM) for initial perturbations in $\dot H^{1-\tau}(\mathbb{R}^2) \cap \dot H^s(\mathbb{R}^2)$ with $s > 3$ and for any $0 < \tau <
Externí odkaz:
http://arxiv.org/abs/2210.02118
We study the time-asymptotic behavior of linear hyperbolic systems under partial dissipation which is localized in suitable subsets of the domain. More precisely, we recover the classical decay rates of partially dissipative systems satisfying the st
Externí odkaz:
http://arxiv.org/abs/2206.00555