Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Zamponi, Nicola"'
Autor:
De Nitti, Nicola, Zamponi, Nicola
We study a fractional cross-diffusion system that describes the evolution of multi-species populations in the regime of large-distance interactions in a bounded domain. We prove existence and weak-strong uniqueness results for the initial-boundary va
Externí odkaz:
http://arxiv.org/abs/2407.19824
We consider the singular limit of a chemotaxis model of bacterial collective motion recently introduced in arXiv:2009.11048 [math.AP]. The equation models aggregation-diffusion phenomena with advection that is discontinuous and depends sharply on the
Externí odkaz:
http://arxiv.org/abs/2403.06820
The global-in-time existence of weak solutions to a spatially homogeneous multispecies Fokker-Planck-Landau system for plasmas in the three-dimensional whole space is shown. The Fokker-Planck-Landau system is a simplification of the Landau equations
Externí odkaz:
http://arxiv.org/abs/2305.17447
In this article we show a $C^{0,\alpha}$-partial regularity result for solutions of a certain class of cross-diffusion systems with entropy structure. Under slightly more stringent conditions on the system, we are able to obtain a $C^{1,\alpha}$-part
Externí odkaz:
http://arxiv.org/abs/2204.06080
A system of drift-diffusion equations for the electron, hole, and oxygene vacancy densities in a semiconductor, coupled to the Poisson equation for the electric potential, is analyzed in a bounded domain with mixed Dirichlet-Neumann boundary conditio
Externí odkaz:
http://arxiv.org/abs/2204.03275
A coupled kinetic-fluid model is investigated, which describes the dynamic behavior of an ensemble of Cucker-Smale flocking particles interacting with a viscous fluid in a three-dimensional bounded domain. This system consists of a kinetic Cucker-Sma
Externí odkaz:
http://arxiv.org/abs/2204.01463
In this paper a strongly degenerate parabolic equation derived from a density dependent particle flow model is studied. Furthermore, a free boundary problem and its connection to the strongly degenerate parabolic equation is investigated. First, it i
Externí odkaz:
http://arxiv.org/abs/2202.04416
Autor:
Jüngel, Ansgar, Zamponi, Nicola
The global in time existence of weak solutions to a cross-diffusion system with fractional diffusion in the whole space is proved. The equations describe the evolution of multi-species populations in the regime of large-distance interactions; they ha
Externí odkaz:
http://arxiv.org/abs/2202.03787
We consider the compressible Vlasov-Poisson-Fokker-Planck-Navier-Stokes system in a three dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The system describes the evolution of charged particles ensemble dispersed in an i
Externí odkaz:
http://arxiv.org/abs/2201.01597
A mean-field-type limit from stochastic moderately interacting many-particle systems with singular Riesz potential is performed, leading to nonlocal porous-medium equations in the whole space. The nonlocality is given by the inverse of a fractional L
Externí odkaz:
http://arxiv.org/abs/2109.08598