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A Two-State Random Walk Model of Sperm Search on Confined Domains. [PDF]
Bier M, Majka M, Schmidt C.
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The FitzHugh-Nagumo equations and quantum noise. [PDF]
Ghose P, Pinotsis DA.
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Mixed Control Strategy for a Class of Sector-Bounded Nonlinear Systems. [PDF]
Stoica AM, Yaesh I.
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ON STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS [PDF]
In this paper we consider the Cauchy problem for second-order stochastic partial differential equations of parabolic type. We study linear and nonlinear equations for filtering Markov diffusion processes. Theorems on the existence, uniqueness and smoothness of solutions are proved.Bibliography: 21 items.
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Stochastic Partial Differential Equations
2014Second order stochastic partial differential equations are discussed from a rough path point of view. In the linear and finite-dimensional noise case we follow a Feynman–Kac approach which makes good use of concentration of measure results, as those obtained in Sect. 11.2.
Peter K. Friz, Martin Hairer
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Stochastic Partial Differential Equations
1996In this chapter we will apply the general theory developed in Chapter 2 to solve various stochastic partial differential equations (SPDEs). In fact, as pointed out in Chapter 1, our main motivation for setting up this machinery was to enable us to solve some of the basic SPDEs that appear frequently in applications.
Tusheng Zhang +3 more
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STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND TURBULENCE
Mathematical Models and Methods in Applied Sciences, 1991Stochastic partial differential equations are proposed in order to model some turbulence phenomena. A particular case (the stochastic Burgers equations) is studied. Global existence of solutions is proved. Their regularity is also studied in detail. It is shown that the solutions cannot possess too high regularity.
Zdzisław Brzeźniak +2 more
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