Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Djurdjevac, Ana"'
In particle systems, flocking refers to the phenomenon where particles' individual velocities eventually align. The Cucker-Smale model is a well-known mathematical framework that describes this behavior. Many continuous descriptions of the Cucker-Sma
Externí odkaz:
http://arxiv.org/abs/2407.18717
We consider strong approximations of $1+1$-dimensional stochastic PDEs driven by additive space-time white noise. It has been long proposed (Davie-Gaines '01, Jentzen-Kloeden '08), as well as observed in simulations, that approximation schemes based
Externí odkaz:
http://arxiv.org/abs/2406.03058
Autor:
Djurdjevac, Ana, Shirikyan, Armen
The paper deals with the problem of stability for the flow of the 1D Burgers equation on a circle. Using some ideas from the theory of positivity preserving semigroups, we establish the strong contraction in the $L^1$ norm. As a consequence, it is pr
Externí odkaz:
http://arxiv.org/abs/2311.12008
We consider a nonlinear SPDE approximation of the Dean-Kawasaki equation for independent particles. Our approximation satisfies the physical constraints of the particle system, i.e. its solution is a probability measure for all times (preservation of
Externí odkaz:
http://arxiv.org/abs/2212.11714
Autor:
Djurdjevac, Ana, Rosati, Tommaso
We provide an elementary proof of geometric synchronisation for scalar conservation laws on a domain with Dirichlet boundary conditions. Unlike previous results, our proof does not rely on a strict maximum principle, and builds instead on a quantitat
Externí odkaz:
http://arxiv.org/abs/2211.05814
We introduce an agent-based model for co-evolving opinion and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable. Agents' m
Externí odkaz:
http://arxiv.org/abs/2209.07151
In this paper, we study different scaling rough path limit regimes in space and time for the Langevin dynamics on a quasi-planar fluctuating Helfrich surfaces. The convergence results of the processes were already proven in the work by Duncan, Elliot
Externí odkaz:
http://arxiv.org/abs/2207.06395
Autor:
Djurdjevac, Ana, Shirikyan, Armen
We study a damped scalar conservation law driven by the sum of a fixed external force and a localised one-dimensional control. The problem is considered in a bounded domain and is supplemented with the Dirichlet boundary condition. It is proved that
Externí odkaz:
http://arxiv.org/abs/2204.03427
This article considers non-stationary incompressible linear fluid equations in a moving domain. We demonstrate the existence and uniqueness of an appropriate weak formulation of the problem by making use of the theory of time-dependent Bochner spaces
Externí odkaz:
http://arxiv.org/abs/2106.08312
We develop a functional framework suitable for the treatment of partial differential equations and variational problems on evolving families of Banach spaces. We propose a definition for the weak time derivative that does not rely on the availability
Externí odkaz:
http://arxiv.org/abs/2105.07908