The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem

Erika Hausenblas, Jonas M. Tölle

Tutkimustuotos: LehtiartikkeliArticleScientific

Abstrakti

On the one hand, we investigate the existence and pathwise uniqueness of a nonnegative martingale solution to the stochastic evolution system of nonlinear advection-diffusion equations proposed by Klausmeier with Gaussian multiplicative noise. On the other hand, we present and verify a general stochastic version of the Schauder-Tychonoff fixed point theorem, as its application is an essential step for showing existence of the solution to the stochastic Klausmeier system. The analysis of the system is based both on variational and semigroup techniques. We also discuss additional regularity properties of the solution.
AlkuperäiskieliEnglanti
Sivumäärä52
JulkaisuarXiv.org
TilaJätetty - 13 tammik. 2021
OKM-julkaisutyyppiB1 Artikkeli tiedelehdessä

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