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This paper is concerned with the limiting dynamics of stochastic retarded 3D non-autonomous Navier-Stokes-Voight (NSV) equations driven by Laplace-multiplier noise. We first prove the existence, uniqueness, forward compactness and forward longtime stability of pullback random attractors (PRAs)....
In this article, we study the existence and uniqueness of solutions to some kinds of singular integral equations with Cauchy kernel and convolution kernel. In order to transform our equations into Riemann-Hilbert problems (R-H problems), we establish the relation between Fourier integral...
We consider the sequential sampling of species, where observed samples are classified into the species they belong to. We are particularly interested in studying some quantities describing the sampling process when there is a new species discovery. We assume that the observations and species are...
We consider the Euler-Bernoulli beam equation with a local Kelvin-Voigt dissipation type in the interval...
In this paper, we analyze the two-phase free boundary problem of primitive equations for the coupled atmosphere and ocean in three-dimensional strip with surface tension. By using the...
In this article we study quantitative rigidity properties for the compatible and incompatible two-state problems for suitable classes of...
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