5 papers
Positive probability of explosion for stochastic heat equation with superlinear accretive reaction term and polynomially growing multiplicative noise
Michael Salins, Yuyang Zhang
This paper studies the finite time explosion of the stochastic heat equation $\frac{\partial u}{\partial t}(t,x)=\frac{\partial^2}{\partial x^2} u(t,x)+(u(t,x))^β+Ï(u(t,x))\dot{W…
Global in time solutions to stochastic reaction-diffusion systems with superlinear reactions satisfying a triangular control of mass
Dionysis Milesis, Michael Salins
We study systems of reaction-diffusion equations perturbed by multiplicative noise, where the reaction terms satisfy quasipositivity, a triangular mass-control structure, and polyn…
Gaussian fluctuations for the nonlinear stochastic heat equation with drift
Raluca M. Balan, Michael Salins
In this article, we prove the Quantitative Central Limit Theorem (QCLT) for the spatial average of the solution of the nonlinear stochastic heat equation with constant initial cond…
Nonexplosion for a large class of superlinear stochastic parabolic equations, in arbitrary spatial dimension
Michael Salins, Yuyang Zhang
This paper explores the finite time explosion of the stochastic parabolic equation in arbitrary bounded spatial…
Uniform attraction and exit problems for stochastic damped wave equations
Ioannis Gasteratos, Michael Salins, Konstantinos Spiliopoulos
We consider a class of wave equations with constant damping and polynomial nonlinearities that are perturbed by small, multiplicative, space-time white noise. The equations are def…