Wentzell–Freidlin Large Deviation Principle for Stochastic Convective Brinkman–Forchheimer Equations

This work addresses some asymptotic behavior of solutions to stochastic convective Brinkman–Forchheimer (SCBF) equations perturbed by multiplicative Gaussian noise in two and three dimensional bounded domains. Using a weak convergence approach Budhiraja Dupuis, we establish the Laplace principle for strong solution SCBF suitable Polish space. Then, Wentzell–Freidlin type large deviation is derived using well known results Varadhan Bryc. The deviations short time are also considered this work. Furthermore, study exponential estimates on certain exit times associated with trajectory equations. contraction principle, these from frame reference (LDP). improves several LDP available literature tamed Navier–Stokes as damping