ON THE HAHN–JORDAN DECOMPOSITION FOR SIGNED MEASURE VALUED STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0219493712003584zbMath1411.60098MaRDI QIDQ2888814

Peter M. Kotelenez, Bradley T. Seadler

Publication date: 4 June 2012

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

stochastic partial differential equationsstochastic flowssigned measuresstochastic ordinary differential equationsHahn-Jordan decompositioncorrelation Brownian motions

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

On signed measure valued solutions of stochastic evolution equations ⋮ Conservation of total vorticity for a 2D stochastic Navier-Stokes equation ⋮ Stochastic nonlinear Fokker-Planck equations

Cites Work

• Hydrodynamics in two dimensions and vortex theory
• Macroscopic limits for stochastic partial differential equations of McKean-Vlasov type
• Particle representations for a class of nonlinear SPDEs
• A class of quasilinear stochastic partial differential equations of McKean-Vlasov type with mass conservation
• A stochastic Navier-Stokes equation for the vorticity of a two-dimensional fluid
• Stochastic ordinary and stochastic partial differential equations. Transition from microscopic to macroscopic equations.
• Vortex theory approach to stochastic hydrodynamics
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