9 papers
Origin of effective non-Fourier heat conduction phenomena in heterogeneous materials
Róbert Kovács
Phenomenological models of non-Fourier heat conduction often lack a strict microstructural foundation, leading to ambiguities when modeling complex heterogeneous materials. In this…
Two-sided estimates of Lyapunov exponents for Milstein schemes of non-autonomous stochastic differential equations
Vu Thi Hue, Bao Quoc Tang, Do Duc Thuan
The stabilising effect of multiplicative noise for stochastic differential equations, though counterintuitive, has been observed and investigated extensively in last decades. In pr…
Fast reaction limits and convergence rate for nonlinear bulk-surface reaction-diffusion systems modeling reversible chemical reactions
The Tuan Hoang, Nhu Phong Tham, Bao Quoc Tang
The fast reaction limit for a nonlinear bulk-surface reaction-diffusion system is investigated. This system describes a reversible reaction with arbitrary stoichiometric coefficien…
How Recommendation Algorithms Shape Social Networks: An Adaptive Voter Model Approach
Fabian Veider, Georg Jäger, Bao Quoc Tang
The rise of social media and recommendation algorithms has sparked concerns about their role in fostering opinion polarization and echo chambers. We study these phenomena using an…
Turing instability for nonlocal heterogeneous reaction-diffusion systems: A computer-assisted proof approach
Maxime Breden, Maxime Payan, Cordula Reisch +1
This paper provides a computer-assisted proof for the Turing instability induced by heterogeneous nonlocality in reaction-diffusion systems. Due to the heterogeneity and nonlocalit…
Turing Instability Suppressed and Induced by Multiplicative Noise in Brusselator System
Qasim Khan, Anthony Suen, Bao Quoc Tang
The effect of multiplicative noise to the Turing instability of the Brusselator system is investigated. We show that when the noise acts on both of the concentrations with the same…