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math.AP2013
Equilibria with a nontrivial nodal set and the dynamics of parabolic equations on symmetric domains
Juraj Földes, Peter Poláčik
We consider the Dirichlet problem u_t &= Δu + f(x, u, \nabla u)+ h(x, t),& \qquad &(x, t) \in Ω\times (0, \infty), u &= 0, & \qquad &(x, t) \in \partialΩ\times (0, \infty), on a bo…
math.AP2013★ 3 cited
Ergodic and Mixing Properties of the Boussinesq Equations with a Degenerate Random Forcing
Juraj Földes, Nathan Glatt-Holtz, Geordie Richards +1
We establish the existence, uniqueness and attraction properties of an ergodic invariant measure for the Boussinesq Equations in the presence of a degenerate stochastic forcing act…