38 research outputs found
Measure Attractors For Stochastic Navier-Stokes Equations
No full text: We show existence of measure attractors for 2-D stochastic Navier-Stokes equations with general multiplicative noise. Keywords: Stochastic Navier--Stokes equations, measure attractors AMS subject classification: Primary: 35Q30, 60H15, 60G60; Secondary: 35R60, 76D05, 60J25 The research of the first author was supported by an EPSRC Visiting Fellowship at the University of Hull and also partially by the KBN grant 2PO3A 064 08. Submitted to EJP on 15 May, 1997. Final version accepted on May 20, 1998. MEASURE ATTRACTORS FOR STOCHASTIC NAVIER--STOKES EQUATIONS MAREK CAPI ' NSKI AND NIGEL J. CUTLAND Abstract. We show existence of measure attractors for 2-D stochastic Navier-Stokes equations with general multiplicative noise. 1. Introduction This paper is concerned with existence of attractors in connection with stochastic Navier-Stokes equations in dimension 2. For deterministic Navier-Stokes equations, the existence of a global attractor in dimension 2 goes back to the work of Ladyzh..
Nonstandard methods for navier-stokes equations
No full textIn this paper we give a survey of recent joint work of the authors in which methods from nonstandard analysis are used to provide a new ap roach to the solution of the Navier-Stokes equations
A model of credit risk based on cash flow
No full textAbstractAn extension of the structural Merton’s model of risk of default is proposed. It is based on an analysis of possible sources of liquidity problems leading to bankruptcy. Pricing of a debt subject to default risk requires finding a value of an American put option, which is performed by a Monte-Carlo simulation of a discretisation of the underlying stochastic equations. This also allows an estimation of the probability of default
Derivative pricing methodology in continuous-time models
No full textAbstractWe show that the fundamental methodology (and practice) of evaluation of derivative securities in continuous-time models is consistent with discrete-time theory, in which a derivative price is based on the principle that adding this security to the market does not create a violation of the basic economic principle: no riskless profit with zero investment
