[BOOK][B] Stochastic porous media equations
Focusing on stochastic porous media equations, this book places an emphasis on existence
theorems, asymptotic behavior and ergodic properties of the associated transition …
theorems, asymptotic behavior and ergodic properties of the associated transition …
[HTML][HTML] Entropy solutions for stochastic porous media equations
We provide an entropy formulation for porous medium-type equations with a stochastic, non-
linear, spatially inhomogeneous forcing. Well-posedness and L 1-contraction is obtained in …
linear, spatially inhomogeneous forcing. Well-posedness and L 1-contraction is obtained in …
A variational approach to dissipative SPDEs with singular drift
C Marinelli, L Scarpa - 2018 - projecteuclid.org
We prove global well-posedness for a class of dissipative semilinear stochastic evolution
equations with singular drift and multiplicative Wiener noise. In particular, the nonlinear term …
equations with singular drift and multiplicative Wiener noise. In particular, the nonlinear term …
Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise
C Marinelli, M Röckner - 2010 - projecteuclid.org
We establish well-posedness in the mild sense for a class of stochastic semilinear evolution
equations with a polynomially growing quasi-monotone nonlinearity and multiplicative …
equations with a polynomially growing quasi-monotone nonlinearity and multiplicative …
The one-dimensional stochastic Keller–Segel model with time-homogeneous spatial Wiener processes
Chemotaxis is a fundamental mechanism of cells and organisms, which is responsible for
attracting microbes to food, embryonic cells into develo** tissues, or immune cells to …
attracting microbes to food, embryonic cells into develo** tissues, or immune cells to …
On Well-Posedness of Semilinear Stochastic Evolution Equations on Spaces
C Marinelli - SIAM Journal on Mathematical Analysis, 2018 - SIAM
We establish well-posedness in the mild sense for a class of stochastic semilinear evolution
equations on L_p spaces, driven by multiplicative Wiener noise, with a drift term given by a …
equations on L_p spaces, driven by multiplicative Wiener noise, with a drift term given by a …
[HTML][HTML] Yosida approximations for multivalued stochastic partial differential equations driven by Lévy noise on a Gelfand triple
W Liu, M Stephan - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
We prove the existence and uniqueness of solutions for a class of multivalued stochastic
partial differential equations with maximal monotone drift on Banach space driven by …
partial differential equations with maximal monotone drift on Banach space driven by …
Stochastic partial differential equations arising in self-organized criticality
Ľ Baňas, B Gess, M Neuß - arxiv preprint arxiv:2104.13336, 2021 - arxiv.org
We study scaling limits of the weakly driven Zhang and the Bak-Tang-Wiesenfeld (BTW)
model for self-organized criticality. We show that the weakly driven Zhang model converges …
model for self-organized criticality. We show that the weakly driven Zhang model converges …
Stochastic porous media equations
V Barbu - Stochastic Analysis: A Series of Lectures: Centre …, 2015 - Springer
This survey is devoted to the presentation of a few recent results concerning the existence,
longtime behaviour and localization of solutions to stochastic porous media equations with …
longtime behaviour and localization of solutions to stochastic porous media equations with …
Uniqueness of the stochastic Keller-Segel model in one dimension
In a recent paper (J. Differential Equations, 310: 506-554, 2022), the authors proved the
existence of martingale solutions to a stochastic version of the classical Patlak-Keller-Segel …
existence of martingale solutions to a stochastic version of the classical Patlak-Keller-Segel …