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pro vyhledávání: '"Diffusion limit"'
Chemotaxis describes the intricate interplay of cellular motion in response to a chemical signal. We here consider the case of slab geometry which models chemotactic motion between two infinite membranes. Like previous works, we are particularly inte
Externí odkaz:
http://arxiv.org/abs/2408.17243
We study a chemotaxis system that includes two competitive prey and one predator species in a two-dimensional domain, where the movement of prey (resp. predators) is driven by chemicals secreted by predators (resp. prey), called mutually repulsive (r
Externí odkaz:
http://arxiv.org/abs/2405.17392
Autor:
Yang, Tong, Zhong, Mingying
We study the diffusion limit of the strong solution to the Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. By introducing a new decomposition of the solution to identify the essential components for generating the in
Externí odkaz:
http://arxiv.org/abs/2404.18389
Akademický článek
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Publikováno v:
ApJ 965 97 (2024)
Photoevaporation is thought to play an important role in the early planetary evolution. In this study, we investigate the diffusion limit of X-ray and ultraviolet induced photoevaporation in primordial atmospheres. We find that compositional fraction
Externí odkaz:
http://arxiv.org/abs/2402.06933
We justify rigorously the non-equilibrium-diffusion limit of the compressible Euler model coupled with a radiative transfer equation arising in radiation hydrodynamics. For general initial data, we establish the uniform existence of the solution to t
Externí odkaz:
http://arxiv.org/abs/2312.15208
We introduce a stochastic model for a passive magnetic field in a three dimensional thin domain. The velocity field, white in time and modelling phenomenologically a turbulent fluid, acts on the magnetic field as a transport-stretching noise. We prov
Externí odkaz:
http://arxiv.org/abs/2401.15701
Publikováno v:
Phys. Rev. Research, 6, L012023, 2024
We resolve a long standing question regarding the suitable effective diffusion coefficient of the spherically-symmetric transport equation, which is valid at long times. To that end, we generalize a transport solution in three dimensions for homogene
Externí odkaz:
http://arxiv.org/abs/2401.01726
Akademický článek
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Autor:
Filbet, Francis, Kang, Myeongju
In this paper, we study the inertial Kuramoto-Sakaguchi equation for interacting oscillatory systems. On the one hand, we prove the convergence toward corresponding phasehomogeneous stationary states in weighted Lebesgue norm sense when the coupling
Externí odkaz:
http://arxiv.org/abs/2310.19344