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The aim of this study is three-fold: (i) to present a general higher-order shell theory to analyze large deformations of thin or thick shell structures made of general compressible hyperelastic materials; (ii) to utilize the orthonormal or…

Numerical Analysis · Mathematics 2020-06-30 Archana Arbind , J N Reddy , A R Srinivasa

We construct a no-scale model of inflation with a single modulus whose real and imaginary parts are fixed by simple power-law corrections to the no-scale K{\" a}hler potential. Assuming an uplift of the minimum of the effective potential,…

High Energy Physics - Phenomenology · Physics 2018-11-21 John Ellis , Malcolm Fairbairn , Antonio Enea Romano , Oscar Zapata

This thesis is dedicated to studying cosmological inflation, which is a period of accelerated expansion in the very early Universe that is required to explain the observed anisotropies in the cosmic microwave background. Inflation, when…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-02 Chris Pattison

In the model of solid / elastic inflation, inflation is driven by a source that has the field theoretical description of a solid. To allow for prolonged slow roll inflation, the solid needs to be extremely insensitive to the spatial…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Nicola Bartolo , Sabino Matarrese , Marco Peloso , Angelo Ricciardone

We derive semi-analytic formulae for the power spectra of two-field inflation assuming an arbitrary potential and non-canonical kinetic terms, and we use them both to build phenomenological intuition and to constrain classes of two-field…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-28 Courtney M. Peterson , Max Tegmark

We developed a physics-based analytical model to describe the nonlinear mechanical response of aspirated elastic shells. By representing the elastic energy through a stretching modulus, $K$, and a dimensionless ratio, $\delta$, capturing…

Soft Condensed Matter · Physics 2025-05-01 Kazutoshi Masuda , Miho Yanagisawa

Slow roll reconstruction is derived from the Hamilton-Jacobi formulation of inflationary dynamics. It automatically includes information from sub-leading terms in slow roll, and facilitatesthe inclusion of priors based on the duration on…

Astrophysics · Physics 2009-06-23 Peter Adshead , Richard Easther

We apply deep learning techniques to the late-time turbulent regime in a post-inflationary model where a real scalar inflaton field and the standard model Higgs doublet interact with renormalizable couplings between them. After inflation,…

High Energy Physics - Phenomenology · Physics 2024-07-12 Jong-Hyun Yoon , Simon Cléry , Mathieu Gross , Yann Mambrini

The present work focuses on geometrically exact finite elements for highly slender beams. It aims at the proposal of novel formulations of Kirchhoff-Love type, a detailed review of existing formulations of Kirchhoff-Love and Simo-Reissner…

Computational Engineering, Finance, and Science · Computer Science 2019-05-08 Christoph Meier , Wolfgang A. Wall , Alexander Popp

Viscous flows in hyperelastic chambers are relevant to many biological phenomena such as inhalation into the lung's acinar region and medical applications such as the inflation of a small chamber in minimally invasive procedures. In this…

Fluid Dynamics · Physics 2021-12-22 Eran Ben-Haim , Dotan Ilssar , Yizhar Or , Amir D. Gat

Non-linear interactions during inflation generate non-Gaussianities in the distribution of primordial curvature. In many theories, the physics is scale-invariant, such that the induced three-point function depends solely on a dimensionless…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-27 Oliver H. E. Philcox

This work concerns the continuum basis and numerical formulation for deformable materials with viscous dissipative mechanisms. We derive a viscohyperelastic modeling framework based on fundamental thermomechanical principles. Since most…

Numerical Analysis · Mathematics 2021-08-12 Ju Liu , Marcos Latorre , Alison L. Marsden

We study the intermediate tachyon inflation in an anisotropic background. By using the Friedmann equations obtained in the anisotropic geometry, we obtain the slow-roll parameters in the tachyon model. The presence of the anisotropic…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-05 Narges Rashidi

A weakly nonlinear study is numerically conducted to determine the behaviour near the onset of convection in rotating spherical shells. The mathematical and numerical procedure is described in generality, with the results presented for an…

Fluid Dynamics · Physics 2024-08-29 Calum S. Skene , Steven M. Tobias

Isogeometric analysis (IGA) has emerged as a promising approach in the field of structural optimization, benefiting from the seamless integration between the computer-aided design (CAD) geometry and the analysis model by employing…

Optimization and Control · Mathematics 2024-07-02 Han Zhao , David Kamensky , John T. Hwang , Jiun-Shyan Chen

The famous bifurcation analysis performed by Fl\"ugge on compressed thin-walled cylinders is based on a series of simplifying assumptions, which allow to obtain the bifurcation landscape, together with explicit expressions for limit…

Classical Physics · Physics 2022-07-21 Roberta Springhetti , Gabriel Rossetto , Davide Bigoni

In a previous paper, we connected the phenomenological non-commutative inflation of Alexander, Brandenberger and Magueijo (2003) and Koh S and Brandenberger (2007) with the formal representation theory of groups and algebras and analyzed…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-26 U. D. Machado , R. Opher

An extension of the Standard Model with three right-handed neutrinos and a simple invisible axion model can account for all experimentally confirmed signals of new physics (neutrino oscillations, dark matter and baryon asymmetry) in…

High Energy Physics - Phenomenology · Physics 2019-02-06 Alberto Salvio

We show that coherent inflation, namely quantum dynamics generated by inverted conservative potentials acting on the center of mass of a massive object, is an enabling tool to prepare large spatial quantum superpositions in a double-slit…

Quantum Physics · Physics 2017-12-14 Oriol Romero-Isart

We continue our analysis of the coupling between nonlinear hyperbolic problems across possibly resonant interfaces. In the first two parts of this series, we introduced a new framework for coupling problems which is based on the so-called…

Analysis of PDEs · Mathematics 2022-07-26 Benjamin Boutin , Frédéric Coquel , Philippe G. LeFloch