Global analysis in mathematical physics. Geometric and stochastic methods. Transl. from the Russian by V. L. Ginzburg.

Publication date: 22 January 1997

Published in: Applied Mathematical Sciences (Search for Journal in Brave)

stochastic calculus diffeomorphisms differential geometry hydrodynamics Newtonian mechanics incompressible fluids stochastic quantization Nelson's mechanics relativistic stochastic mechanics

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamics of a system of particles, including celestial mechanics (70F99) Applications of global analysis to the sciences (58Z05) Diffusion processes and stochastic analysis on manifolds (58J65) Incompressible inviscid fluids (76B99) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Manifolds of mappings (58D15) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Stochastic quantization (81S20)

Related Items (15)

On a Forward-backward Stochastic System Associated to the Burgers Equation ⋮ Boundary value problems for semi-continuous delayed differential inclusions on Riemannian manifolds ⋮ On the existence of Euler-Lagrange orbits satisfying the conormal boundary conditions ⋮ Martingale problem approach to the representations of the Navier-Stokes equations on smooth-boundary manifolds and semispace ⋮ Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds ⋮ Energetic variational approaches for incompressible fluid systems on an evolving surface ⋮ Integral operators, guiding potentials and periodic solutions of differential inclusions on non-compact Lie groups ⋮ A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary ⋮ Generalized stochastic flows and applications to incompressible viscous fluids ⋮ On the two-point boundary-value problem for equations of geodesics ⋮ Solutions of Burgers, Reynolds, and Navier–Stokes Equations via Stochastic Perturbations of Inviscid Flows ⋮ On the two-point boundary value problem for quadratic second-order differential equations and inclusions on manifolds ⋮ Random symplectic geometry and the realizations of the random representations of the Navier-Stokes equations by ordinary differential equations ⋮ Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus ⋮ WELL-POSEDNESS AND GLOBAL ATTRACTORS FOR LIQUID CRYSTALS ON RIEMANNIAN MANIFOLDS

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