The quasistatic rate-independent evolution of the Prager-Zieglertype model of linearized plasticity with hardening is shown to converge to the rate-independent evolution of the Prandtl-Reuss elastic/perfectly plastic model. Based on the concept of energetic solutions we study the convergence of the solutions in the limit for hardening coe cients converging to 0 by using the abstract method of Γ...

In this paper we consider the XY (N -dimensional possibly anisotropic) spin type model and, by comparison with a Ginzburg-Landau type functional, we perform a variational analysis in the limit when the number of particles diverges. In particular we show how the appearance of vortex-like singularities can be described by properly scaling the energy of the system through a Γ-convergence procedure...

In this paper we study a simple non-local semilinear parabolic equation with Neumann boundary condition. We give local existence result and prove global existence for small initial data. A natural non increasing in time energy is associated to this equation. We prove that the solution blows up at finite time T if and only if its energy is negative at some time before T . The proof of this resul...

New fractional r -order seminorms, TGV r , r ∈ R , r ≥ 1 , are proposed in the one-dimensional (1D) setting, as a generalization of the integer order TGV k seminorms, k ∈ N . The fractional r -order TGV r -seminorms are shown to be intermediate between the integer order TGV k -seminorms. A bilevel training scheme is proposed, where under a box constraint a simultaneous optimization with respect...

Amphiphilic γ-cyclodextrin–fullerene 2:1 complexes (C L FC H complexes) were prepared by high-speed vibration milling of lipophilic tail-grafted γ-cyclodextrin (γ-CD), hydrophilic γ-CD and fullerene C 60 . The transamidation γ-CD–fullerene complex having two...

This paper provides a simplified analysis of possible sequences transition pathways to deepen understanding scenarios. The exhibit ranking succession in which the transformation pathway (T) is first sequence terms both landscape pressure (PL) and niche maturity levels (γn). next along two variables PL γn reconfiguration (R). Beyond R, substitution (S)...

The forward elastic scattering of light on light, i.e., the reaction γ + γ → γ + γ in the forward direction, is analyzed utilizing real analytic amplitudes. We calculate ργγ , the ratio of the real to the imaginary portion of the forward scattering amplitude, by fitting the total γγ cross section data in the high energy region 5 GeV ≤ √ s ≤ 130 GeV, assuming a cross section that rises asymptoti...

We present a precise measurement of the ratio RK = Γ(K → eν(γ))/Γ(K → μν(γ)) and a study of the radiative process K → eνγ, performed with the KLOE detector. The results are based on data collected at the Frascati ee collider DAΦNE for an integrated luminosity of 2.2 fb. We find RK = (2.493 ± 0.025stat ± 0.019syst) × 10 , in agreement with the Standard Model expectation. This result is used to i...

We study the limit of high activation energy of a special Fokker–Planck equation known as the Kramers–Smoluchowski equation (KS). This equation governs the time evolution of the probability density of a particle performing a Brownian motion under the influence of a chemical potential H/ε. We choose H having two wells corresponding to two chemical states A and B. We prove that after a suitable r...