D. Landers and L. Rogge Abstract. We prove for random variables with values in the space D[0; 1] of cadlag functions | endowed with the supremum metric | that convergence in law is equivalent to nonstandard constructions of internal S-cadlag processes, which represent up to an in nitesimal error the limit process. It is not required as earlier, that the limit process is concentrated on the spac...

We investigate the uniform regularity and zero kinematic viscosity-magnetic diffusion limit for incompressible viscous magnetohydrodynamic equations with Navier boundary conditions on velocity perfectly conducting magnetic field in a smooth bounded domain ? ? ?3. It is shown that there exists unique strong solution to finite time interval which independent of viscosity coefficient diffusivity c...

directional simulation, among techniques for reliability analysis of engineering structures, is well known. in this context, directional simulation in load space, because of the considerable advantages of lower dimension of working space, is of considerable interest. as is expected due to structural resistance variability, the location of the relevant limit state(s) is no longer constant and mu...

A Poisson process in space{time is used to generate a linear Kolmogorov's birth{growth model. Points start to form on 0; L] at time zero. Each newly formed point initiates two bidirectional moving frontiers of constant speed. New points continue to form on not-yet passed over parts of 0; L]. The whole interval will eventually be passed over by moving frontiers. Let N L be the total number of po...

based on a complete heyting algebra l, the relations between lfuzzifyingconvergence spaces and l-fuzzifying topological spaces are studied.it is shown that, as a reflective subcategory, the category of l-fuzzifying topologicalspaces could be embedded in the category of l-fuzzifying convergencespaces and the latter is cartesian closed. also the specialization l-preorderof l-fuzzifying convergenc...

Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $Ksetminus G/H$, which equipped with an $N$-strongly quasi invariant measure $mu$, for $1leq pleq +infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(Ksetminus G/H,mu)$ and demonstrate that it may be identified with a quotient space of $L^p(G)$. In addition, we illustrate t...

We prove that there exists an interval of time which is uniform in the vanishing viscosity limit and for which the Navier-Stokes equation with Navier boundary condition has a strong solution. This solution is uniformly bounded in a conormal Sobolev space and has only one normal derivative bounded in L∞. This allows to get the vanishing viscosity limit to the incompressible Euler system from a s...

We prove existence and uniqueness of solutions to the Klein-Gordon-Zakharov system in the energy space H × L on some time interval which is uniform with respect to two large parameters c and α. These two parameter correspond to the plasma frequency and the sound speed. In the simultaneous high-frequency and subsonic limit, we recover the nonlinear Schrödinger system at the limit. We are also ab...

Let P be a packing of balls in Euclidean space E" having the property that the radius of every ball of P lies in the interval [l//c, k]. If G is a Schottky group associated to P , then the Hausdorff dimension of the topological limit set of G is less than a uniform constant C(k, n) < n. In particular, this limit set has zero volume.