The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem

The Stochastic Gierer–Meinhardt System

(2022) Erika Hausenblas et al.   APPLIED MATHEMATICS AND OPTIMIZATION

Correction to: The Stochastic Gierer–Meinhardt System

(2022) Erika Hausenblas et al.   APPLIED MATHEMATICS AND OPTIMIZATION

Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise

(2021) Benjamin Fehrman et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Porous media equations with multiplicative space–time white noise

(2021) K. Dareiotis et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Theoretical study and numerical simulation of pattern formation in the deterministic and stochastic Gray–Scott equations

(2019) Erika Hausenblas et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Wong–Zakai approximation and support theorem for SPDEs with locally monotone coefficients

(2018) Ting Ma et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Stochastic Reaction-diffusion Equations Driven by Jump Processes

(2017) Zdzisław Brzeźniak et al.   POTENTIAL ANALYSIS

Additive noise destroys the random attractor close to bifurcation

(2016) Luigi Amedeo Bianchi et al.   NONLINEARITY

Stochastic Turing Patterns: Analysis of Compartment-Based Approaches

(2014) Yang Cao et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Uniqueness in Law of the stochastic convolution process driven by Lévy noise

(2013) Zdzisław Brzeźniak et al.   ELECTRONIC JOURNAL OF PROBABILITY

Existence of a martingale solution of the stochastic Navier–Stokes equations in unbounded 2D and 3D domains

(2012) Zdzisław Brzeźniak et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Rise and Fall of Periodic Patterns for a Generalized Klausmeier–Gray–Scott Model

(2012) Sjors van der Stelt et al.   JOURNAL OF NONLINEAR SCIENCE

A Nonlinear Stability Analysis of Vegetative Turing Pattern Formation for an Interaction–Diffusion Plant-Surface Water Model System in an Arid Flat Environment

(2011) Bonni J. Kealy et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation

(2011) Thomas E. Woolley et al.   PHYSICAL REVIEW E

Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds

(2011) J. A. Sherratt   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Pattern solutions of the Klausmeier Model for banded vegetation in semi-arid environments I

(2010) Jonathan A Sherratt   NONLINEARITY

A THEOREM DUAL TO YAMADA–WATANABE THEOREM FOR STOCHASTIC EVOLUTION EQUATIONS

(2010) HUIJIE QIAO   Stochastics and Dynamics

Harnack inequality and applications for stochastic evolution equations with monotone drifts

(2009) Wei Liu   JOURNAL OF EVOLUTION EQUATIONS

Existence and uniqueness of nonnegative solutions to the stochastic porous media equation

(2008) Giuseppe Da Prato et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL