We consider a conservative system of stochastic PDE's, namely a one dimensional phase field model perturbed by an additive space-time white noise. We prove a global existence and uniqueness result in a space of continuous functions on ℝ+ × ℝ. This result is obtained by extending previous results of Doering [3] on the stochastic Allen-Cahn equation.
Stochastic phase field equations: Existence and uniqueness / BERTINI MALGARINI, Lorenzo; Stella, Brassesco; Butta', Paolo; Errico, Presutti. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - STAMPA. - 3:1(2002), pp. 87-98. [10.1007/s00023-002-8612-y]
Stochastic phase field equations: Existence and uniqueness
BERTINI MALGARINI, Lorenzo;BUTTA', Paolo;
2002
Abstract
We consider a conservative system of stochastic PDE's, namely a one dimensional phase field model perturbed by an additive space-time white noise. We prove a global existence and uniqueness result in a space of continuous functions on ℝ+ × ℝ. This result is obtained by extending previous results of Doering [3] on the stochastic Allen-Cahn equation.File allegati a questo prodotto
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