Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Chemetov, Nikolai V."'
Publikováno v:
Journal of Differential Equations, Volume 382, Pages 1-49, 2024
This article is concerned with the existence of solution to the stochastic Degasperis-Procesi equation on $\mathbb{R}$ with an infinite dimensional multiplicative noise and integrable initial data. Writing the equation as a system composed of a stoch
Externí odkaz:
http://arxiv.org/abs/2409.02723
Publikováno v:
Journal of Dynamics and Differential Equations, Volume 35, 523 - 542, 2023
This article studies the Stochastic Degasperis-Procesi (SDP) equation on $\mathbb{R}$ with an additive noise. Applying the kinetic theory, and considering the initial conditions in $L^2(\mathbb{R})\cap L^{2+\delta}(\mathbb{R})$, for arbitrary small $
Externí odkaz:
http://arxiv.org/abs/2409.00548
Publikováno v:
Electron. J. Differential Equations, Vol. 2022 (2022), No. 22, pp. 1-12
We study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, suppl
Externí odkaz:
http://arxiv.org/abs/2409.00537
Publikováno v:
J Nonlinear Sci 34, 74 (2024)
We study solutions to a recently proposed neural field model in which dendrites are modelled as a continuum of vertical fibres stemming from a somatic layer. Since voltage propagates along the dendritic direction via a cable equation with nonlocal so
Externí odkaz:
http://arxiv.org/abs/2406.09222
We analyze the Navier-Stokes equations for incompressible fluids with the {\lq\lq}viscous stress tensor{\rq\rq} $\mathbb{S}$ in a family which includes the Bingham model for viscoplastic fluids (more generally, the Herschel-Bulkley model). $\mathbb{S
Externí odkaz:
http://arxiv.org/abs/2401.13830
In this work, we investigate the asymmetric Bingham fluid equations. The asymmetric fluid of Bingham includes symmetric and antisymmetric stresses with such stresses appearing as an elastic response to the micro-rotational deformations of grains in a
Externí odkaz:
http://arxiv.org/abs/1811.07427
Given an open set with finite perimeter $\Omega\subset \mathbb{R}^n$, we consider the space $LD_\gamma^{p}(\Omega)$, $1\leq p<\infty$, of functions with $p$th-integrable deformation tensor on $\Omega$ and with $p$ th-integrable trace value on the ess
Externí odkaz:
http://arxiv.org/abs/1808.00611
We consider a coupled PDE-ODE system describing the motion of the rigid body in a container filled with the incompressible, viscous fluid. The fluid and the rigid body are coupled via Navier slip boundary condition. We prove that the local in time st
Externí odkaz:
http://arxiv.org/abs/1710.01382
The paper deals with the well-posedness of the strong solution of fluid-structure interaction problem when the mixed boundary conditions are considered.
Externí odkaz:
http://arxiv.org/abs/1707.00858
We consider a velocity tracking problem for the Navier-Stokes equations in a 2D-bounded domain. The control acts on the boundary through a injection-suction device and the flow is allowed to slip against the surface wall. We study the well-posedness
Externí odkaz:
http://arxiv.org/abs/1706.05531