共查询到10条相似文献,搜索用时 265 毫秒
1.
Consider d-dimensional magneto-hydrodynamic (MHD) equations with fractional dissipations driven by multiplicative noise. First, we prove the existence of martingale solutions for stochastic fractional MHD equations in the case of d = 2, 3 and , where are the parameters of the fractional dissipations in the equation. Second, for d = 2, 3 and , we show the pathwise uniqueness of solutions and then obtain the existence and uniqueness of strong solutions using the Yamada-Watanabe theorem. Furthermore, we establish the exponential mixing property for stochastic MHD equations with degenerate multiplicative noise when d = 2, 3 and . 相似文献
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Fourier transform of anisotropic mixed-norm Hardy spaces 总被引:1,自引:0,他引:1
Let a:=(a1,…,an)∈[1,∞)n,p:=(p1,…,pn)∈(0,1]n,Hpa(Rn)be the anisotropic mixed-norm Hardy space associated with adefined via the radial maximal function,and let f belong to the Hardy space Hpa(Rn).In this article,we show that the Fourier transform fcoincides with a continuous function g on?n in the sense of tempered distributions and,moreover,this continuous function g,multiplied by a step function associated with a,can be pointwisely controlled by a constant multiple of the Hardy space norm of f.These proofs are achieved via the known atomic characterization of Hpa(Rn)and the establishment of two uniform estimates on anisotropic mixed-norm atoms.As applications,we also conclude a higher order convergence of the continuous function gat the origin.Finally,a variant of the Hardy-Littlewood inequality in the anisotropic mixed-norm Hardy space setting is also obtained.All these results are a natural generalization of the well-known corresponding conclusions of the classical Hardy spaces Hp(Rn)with p∈0,1],and are even new for isotropic mixed-norm Hardy spaces on∈n. 相似文献
3.
Let and let the Bessel operator defined on . We show that the oscillation and -variation operators of the Riesz transform associated with are bounded on BMO , where and . Moreover, we construct a -atom as a counterexample to show that the oscillation and -variation operators of are not bounded from to . Finally, we prove that the oscillation and the -variation operators for the smooth truncations associated with Bessel operators are bounded from to . 相似文献
4.
For a supercritical branching processes with immigration ; it is known that under suitable conditions on the offspring and immigration distributions, Zn/mn converges almost surely to a finite and strictly positive limit, where m is the offspring mean. We are interested in the limiting properties of with as . We give asymptotic behavior of such lower deviation probabilities in both Schröder and Böttcher cases, unifying and extending the previous results for Galton-Watson processes in literature. 相似文献
5.
The regularity of random attractors is considered for the non-autonomous fractional stochastic FitzHugh-Nagumo system.We prove that the system has a pullback random attractor that is compact in Hs(Rn)×L2(Rn)and attracts all tempered random sets of L2(Rn)×L2(Rn)in the topology of Hs(Rn)×L2(Rn)with s∈(0,1).By the idea of positive and negative truncations,spectral decomposition in bounded domains,and tail estimates,we achieved the desired results. 相似文献
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We investigate k-uniform loose paths. We show that the largest Heigenvalues of their adjacency tensors, Laplacian tensors, and signless Laplacian tensors are computable. For a k-uniform loose path with length l ≥ 3 , we show that the largest H-eigenvalue of its adjacency tensor is ( ( 1 + 5 ) / 2 ) 2 / k when l = 3 and λ ( A ) = 3 1 / k when l = 4 , respectively. For the case of l ≥ 5 , we tighten the existing upper bound 2. We also show that the largest H-eigenvalue of its signless Laplacian tensor lies in the interval (2, 3) when l ≥ 5 . Finally, we investigate the largest H-eigenvalue of its Laplacian tensor when k is even and we tighten the upper bound 4. 相似文献
8.
Let be a Morita ring, where the bimodule homomorphisms and are zero. We study the finite presentedness, locally coherence, pure projectivity, pure injectivity, and FP-injectivity of modules over . Some applications are then given. 相似文献
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We establish sharp functional inequalities for time-changed symmetric -stable processes on with and , which yield explicit criteria for the compactness of the associated semigroups. Furthermore, when the time change is defined via the special function with we obtain optimal Nash-type inequalities, which in turn give us optimal upper bounds for the density function of the associated semigroups. 相似文献