Results 11 to 20 of about 2,202 (85)
1‐independent percolation on ℤ2×Kn
Abstract A random graph model on a host graph H$$ H $$ is said to be 1‐independent if for every pair of vertex‐disjoint subsets A,B$$ A,B $$ of E(H)$$ E(H) $$, the state of edges (absent or present) in A$$ A $$ is independent of the state of edges in B$$ B $$.
Victor Falgas‐Ravry +1 more
wiley +1 more source
Abstract This paper is concerned with Kolmogorov's two‐equation model for turbulence in R3$\mathbb {R}^3$ involving the mean velocity u, the pressure p, an average frequency ω>0$\omega >0$, and a mean turbulent kinetic energy k. We consider the system with space‐periodic boundary conditions in a cube Ω=(]0,a[)3$\Omega =({]0,a[}){}^3$, which is a good ...
Alexander Mielke, Joachim Naumann
wiley +1 more source
This short survey reviews the recent literature on the relationship between the brain structure and its functional dynamics. Imaging techniques such as diffusion tensor imaging (DTI) make it possible to reconstruct axonal fiber tracks and describe the structural connectivity (SC) between brain regions.
Simon Wein +7 more
wiley +1 more source
Orlicz-space Hardy and Landau–Kolmogorov inequalities for Gaussian measures [PDF]
We prove Orlicz-space versions of Hardy and Landau–Kolmogorov inequalities for Gaussian measures on ℝn.
K. Oleszkiewicz +1 more
semanticscholar +1 more source
On approximation of hypersingular integral operators by bounded ones [PDF]
We solve the Stechkin problem about approximation of generally speaking unbounded hypersingular integral operators by bounded ones. As a part of the proof, we also solve several related and interesting on their own problems.
V. Babenko, O. Kovalenko, N. Parfinovych
semanticscholar +1 more source
We have considered a prominent Nonlinear partial differential equation which governs the spatial spread and propagation of mutant genes. A new integral transform called the Elzaki transform was coupled with Homotopy perturbation to solve for the exact solution of this model.
Adedapo C. Loyinmi, Timilehin K. Akinfe
wiley +1 more source
Landau-Kolmogorov type inequalities for curves on Riemannian manifolds
We obtain Landau-Kolmogorov type inequalities for mappings defined on the whole real axis and taking values in Riemannian manifolds. In terms of an auxiliary convex function, we find conditions under which the boundedness of covariant derivative along ...
I. Parasyuk
semanticscholar +1 more source
Agmon-Kolmogorov inequalities on $\ell^2(\Bbb Z^d)$ [PDF]
Landau-Kolmogorov inequalities have been extensively studied on both continuous and discrete domains for an entire century. However, the research is limited to the study of functions and sequences on $\Bbb R$ and $\Bbb Z$, with no equivalent inequalities
A. Sahovic
semanticscholar +1 more source
A Century of Nonlinearity in the Geosciences
Abstract This paper provides a thumbnail sketch of the evolution of nonlinear ideas in the mathematics and physics of the geosciences, broadly construed, over the last hundred or so years. It emphasizes the mathematical concepts and methods and outlines simple examples of how they were, are, and maybe will be applied to the solid Earth—that is, the ...
Michael Ghil
wiley +1 more source
Ergodicity of Stochastic Burgers’ System with Dissipative Term
A 2‐dimensional stochastic Burgers equation with dissipative term perturbed by Wiener noise is considered. The aim is to prove the well‐posedness, existence, and uniqueness of invariant measure as well as strong law of large numbers and convergence to equilibrium.
Guoli Zhou +4 more
wiley +1 more source

