In this work, we study warm inflationary scenario based on a deformation of R2 gravity. We start considering Rp and assume p=2(1+?) with ??1 so that simply obtain inflation when setting ?=0. then derive the potential in Einstein frame consider dissipation parameter form ?=C1T C1 being coupling parameter. focus only strong regime which interaction between inflaton radiation fluid has been taken ...

The reversible transverse relaxation rate, R2', is sensitive to the deoxyhaemoglobin content of brain tissue, enabling information about the oxygen extraction fraction to be obtained. However, R2' is also sensitive to macroscopic magnetic field gradients, particularly at air-tissue interfaces where a large susceptibility difference is present. It is important that this latter effect is minimise...

2014 The Lagrangian L03BC (r, 03B8) = 1/2(1 + 03BC)r2 + 1 2r203B82r(03BC cos 03B8) with 1 03BC ~ 3.1 is studied using a surface of section map. Regular and chaotic behaviour is exhibited. The numerical evidence suggests the motion is integrable for 03BC = 3. Integrability is proved by explicitly exhibiting a first integral. J. Physique 46 (1985) 1495-1500 SEPTEMBRE 1985, Classification Physics ...

In this article we are interested in the following problem: to find a map u : Ω → R that satisfies { Du ∈ E a.e. in Ω u(x) = φ(x) x ∈ ∂Ω where Ω is an open set of R and E is a compact isotropic set of R2×2. We will show an existence theorem under suitable hypotheses on φ. Mathematics Subject Classification. 34A60, 35F30, 52A30. Received May 14, 2004.

A major goal of remote sensing is the development of generalizable algorithms to repeatedly and accurately map ecosystem properties across space and time. Imaging spectroscopy has great potential to map vegetation traits that cannot be retrieved from broadband spectral data, but rarely have such methods been tested across broad regions. Here we illustrate a general approach for estimating key f...

We consider the Landau-Lifshitz equations of ferromagnetism (including the harmonic map heat-flow and Schrödinger flow as special cases) for degree m equivariant maps from R2 to S2. If m ≥ 3, we prove that near-minimal energy solutions converge to a harmonic map as t → ∞ (asymptotic stability), extending previous work (Gustafson et al., Duke Math J 145(3), 537–583, 2008) down to degree m = 3. D...