10 papers
Global classical solutions by transport noise for reaction-diffusion systems with entropy dissipation
Antonio Agresti, Michael Kniely, Bao Quoc Tang
The existence of global classical solutions for reaction-diffusion systems arising from chemical reaction networks remains a major open problem in the deterministic setting, especi…
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…
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…
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…
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…
Pathwise mild solutions for superlinear stochastic evolution equations and their attractors
Alexandra Blessing, Tim Seitz, Stefanie Sonner +1
We investigate stochastic parabolic evolution equations with time-dependent random generators and locally Lipschitz continuous drift terms. Using pathwise mild solutions, we constr…
Stability analysis of irreversible chemical reaction-diffusion systems with boundary equilibria
Thi Lien Nguyen, Bao Quoc Tang
Large time dynamics of reaction-diffusion systems modeling some irreversible reaction networks are investigated. Depending on initial masses, these networks possibly possess bounda…
On the equilibriation of chemical reaction-diffusion systems with degenerate reactions
Laurent Desvillettes, Kim Dang Phung, Bao Quoc Tang
The trend to equilibrium for reaction-diffusion systems modelling chemical reaction networks is investigated, in the case when reaction processes happen on subsets of the domain. W…
Stabilization by Multiplicative Itô Noise for Chafee-Infante Equation in Perforated Domains
Hong Hai Ly, Bao Quoc Tang
The stabilization by noise for parabolic equations in perforated domains, i.e. domains with small holes, is investigated. We show that when the holes are small enough, one can stab…