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math.AP2022★ 4 cited
The stochastic primitive equations with non-isothermal turbulent pressure
Antonio Agresti, Matthias Hieber, Amru Hussein +1
In this paper, we introduce and study the primitive equations with -isothermal turbulent pressure and transport noise. They are derived from the Navier-Stokes equatio…
math.AP2022
Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity
Antonio Agresti, Mark Veraar
In this paper we consider a class of stochastic reaction-diffusion equations. We provide local well-posedness, regularity, blow-up criteria and positivity of solutions. The key nov…
math.AP2022
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations
Antonio Agresti
This paper is concerned with the problem of regularization by noise of systems of reaction-diffusion equations with mass control. It is known that solutions to su…