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Compressible fluid flows driven by stochastic forcing
stochastic Navier-Stokes equations compressible fluid random driving force
2012/6/21
We consider the Navier-Stokes system describing the motion of a compressible barotropic fluid driven by stochastic external forces. Our approach is semi-deterministic, based on solving the system for ...
Fluid accumulation in thin-film flows driven by surface tension and gravity (I): Rigorous analysis of a drainage equation
Fluid accumulation surface tension and gravity drainage equation
2011/9/23
Abstract: We derive a boundary layer equation describing accumulation regions within a thin-film approximation framework where gravity and surface tension balance. As part of the analysis of this prob...
Flows driven by a combination of source/sink part 2: Interior creeping flows
Flows driven combination source sink
2010/9/15
In this paper, two-dimensional creeping flows generated by source and sink inside a circular cylinder are studied in the presence of different boundary conditions. For simplicity, line source and sink...
Flows driven by a combination of source/sink part 1: Exterior creeping flows
Flows driven combination source sink
2010/9/15
In this paper, the two-dimensional creeping flows outside a circular cylinder induced by source/sink with various boundary conditions is studied.
We prove that the stochastic differential equation $$ Y_{s,t}(x) = Y_{s,s}(x) + \int_0^{t-s} f(Y_{s,s+u}(x)) dX_{s+u},
Y_{s,s}(x)=x\in\R^d. $$ driven by a L\'evy process whose paths have finite p-va...