The present work introduces an analysis of the measurement and model effects that exist in monopile scour protection experiments with repeated small scale tests. damage erosion is calculated using three dimensional global number S3D subarea S3D,i. Results show standard deviation σ(S3D)=0.257 approximately 20% mean S3D, σ(S3D,i)=0.42 which can be up to 33% S3D. irreproducible maximum wave height...

We prove existence and uniqueness of a global in time self-similar solution growing up as t→∞ for the following reaction-diffusion equation with singular potentialut=Δum+|x|σup, posed dimension N≥2, m>1, σ∈(−2,0) 11 p>1, showing an interesting effect induced by potential |x|...

ion of Γ, x : N `M : N nat× σ (γ × nat)× σ M ∀σ. Abstraction of Γ, x : N `M : Nion of Γ, x : N `M : N nat× σ (γ × nat)× σ M ∀σ. nat× σ′ (γ × nat)× σ′ γ × σ nat× (γ × σ′) Abstraction of Γ, x : N `M : Nion of Γ, x : N `M : N nat× σ (γ × nat)× σ M ∀σ. nat× τ γ × σ ∀σ.∃φ.∀τ . φ× σ (φ× nat)× τ nat× (φ× τ) λx:X.M Abstraction of Γ, x : N `M : Nion of Γ, x : N `M : N nat× σ (γ × nat)× σ M ∀σ. nat× τ γ ...

Supersymmetric non–linear σ–models are described by a field dependent Kähler metric determining the kinetic terms. In general it is not guaranteed that this metric is always invertible. Our aim is to investigate the symmetry structure of supersymmetric models in four dimensional space-time in which metric singularities occur. For this purpose we study a simple anomaly-free extension of the supe...

The effect of narrow dibaryon resonances to nuclear matter and structure of neutron stars is investigated in the mean-field theory (MFT) and in the relativistic Hartree approximation (RHA). The existence of massive neutron stars imposes constraints to the coupling constants of the ωand σ-mesons with dibaryons. We conclude that the experimental candidates to dibaryons d1(1920) and d’(2060) if ex...

We show that the displacement and strain formulations of the displacement-traction problem of three-dimensional linearized elasticity can be viewed as Legendre-Fenchel dual problems to the stress formulation of the same problem. We also show that each corresponding Lagrangian has a saddle-point, thus fully justifying this new approach to elasticity by means of Legendre-Fenchel duality. Résumé D...

In this paper, the relation between algebraic shifting and join which was conjectured by Eran Nevo will be proved. Let σ and τ be simplicial complexes and σ ∗ τ their join. Let Jσ be the exterior face ideal of σ and ∆(σ) the exterior algebraic shifted complex of σ. Assume that σ ∗ τ is a simplicial complex on [n] = {1, 2, . . . , n}. For any d-subset S ⊂ [n], let m revS(σ) denote the number of ...

In this paper we study the Cauchy problem of doubly singular parabolic equations ut = div ∇u σ ∇um + t x u with non-negative initial data. Here −1 < σ ≤ 0, m > max 0 1 − σ − σ + 2 /N satisfying 0 < σ +m ≤ 1, p > 1, and s ≥ 0. We prove that if θ > max − σ + 2 , 1 + s N 1 − σ − m − σ + 2 , then pc = σ +m + σ +m− 1 s + σ + 2 1+ s + θ /N > 1 is the critical exponent; i.e, if 1 < p ≤ pc then every n...

Let σ ∈ Sk and τ ∈ Sn be permutations. We say τ contains σ if there exist 1 ≤ x1 < x2 < . . . < xk ≤ n such that τ(xi) < τ(xj) if and only if σ(i) < σ(j). If τ does not contain σ we say τ avoids σ. Let F (n, σ) = |{τ ∈ Sn| τ avoids σ}|. Stanley and Wilf conjectured that for any σ ∈ Sk there exists a constant c = c(σ) such that F (n, σ) ≤ cn for all n. Here we prove the following weaker statemen...