Renormalisation of parabolic stochastic PDEs
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DOI: 10.1007/s11537-018-1742-x
Abstract: We give a survey of recent result regarding scaling limits of systems from statistical mechanics, as well as the universality of the behaviour of such systems in so-called cross-over regimes. It transpires that some of… read more here.
Keywords: stochastic pdes; renormalisation parabolic; parabolic stochastic;
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation
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DOI: 10.1142/s0219530521500172
Abstract: In this paper, we study the stability of quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The exponential mean square stability and pathwise exponential stability of the… read more here.
Keywords: exponential behavior; partial differential; quasilinear parabolic; stochastic partial ... See more keywords