Stochastic Porous Media Equations and Self-Organized Criticality
Barbu V, Da Prato G, Röckner M (2009)
Communications in Mathematical Physics 285(3): 901-923.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Barbu, Viorel;
Da Prato, Giuseppe;
Röckner, MichaelUniBi
Einrichtung
Abstract / Bemerkung
The existence and uniqueness of nonnegative strong solutions for stochastic porous media equations with noncoercive monotone diffusivity function and Wiener forcing term is proven. The finite time extinction of solutions with high probability is also proven in 1-D. The results are relevant for self-organized criticality behavior of stochastic nonlinear diffusion equations with critical states.
Erscheinungsjahr
2009
Zeitschriftentitel
Communications in Mathematical Physics
Band
285
Ausgabe
3
Seite(n)
901-923
ISSN
0010-3616
Page URI
https://pub.uni-bielefeld.de/record/1636211
Zitieren
Barbu V, Da Prato G, Röckner M. Stochastic Porous Media Equations and Self-Organized Criticality. Communications in Mathematical Physics. 2009;285(3):901-923.
Barbu, V., Da Prato, G., & Röckner, M. (2009). Stochastic Porous Media Equations and Self-Organized Criticality. Communications in Mathematical Physics, 285(3), 901-923. https://doi.org/10.1007/s00220-008-0651-x
Barbu, Viorel, Da Prato, Giuseppe, and Röckner, Michael. 2009. “Stochastic Porous Media Equations and Self-Organized Criticality”. Communications in Mathematical Physics 285 (3): 901-923.
Barbu, V., Da Prato, G., and Röckner, M. (2009). Stochastic Porous Media Equations and Self-Organized Criticality. Communications in Mathematical Physics 285, 901-923.
Barbu, V., Da Prato, G., & Röckner, M., 2009. Stochastic Porous Media Equations and Self-Organized Criticality. Communications in Mathematical Physics, 285(3), p 901-923.
V. Barbu, G. Da Prato, and M. Röckner, “Stochastic Porous Media Equations and Self-Organized Criticality”, Communications in Mathematical Physics, vol. 285, 2009, pp. 901-923.
Barbu, V., Da Prato, G., Röckner, M.: Stochastic Porous Media Equations and Self-Organized Criticality. Communications in Mathematical Physics. 285, 901-923 (2009).
Barbu, Viorel, Da Prato, Giuseppe, and Röckner, Michael. “Stochastic Porous Media Equations and Self-Organized Criticality”. Communications in Mathematical Physics 285.3 (2009): 901-923.
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