First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion

E Battista, VD Falco - The European Physical Journal C, 2022 - Springer
We derive the equations of motion for an N-body system in the Einstein–Cartan gravity
theory at the first post-Newtonian order by exploiting the Weyssenhoff fluid as the spin …

[图书][B] Waves and rays in seismology: Answers to unasked questions

MA Slawinski - 2020 - books.google.com
This is a book on seismology dealing with advanced aspects of wave propagation in
complex media. It can also be viewed as a book on mathematical modelling, wherein the …

[图书][B] Continuum Mechanics: Advanced Topics and Research Trends

A Romano, A Marasco - 2010 - books.google.com
R In the companion book (Continuum Mechanics Using Mathematica) to this volume, we
explained the foundations of continuum mechanics and described some basic applications …

Memory effect of external oscillation on residual stress in a paste

J Morita, M Otsuki - The European Physical Journal E, 2021 - Springer
We numerically investigate the stress distribution of a paste when an external oscillation is
applied. The paste memorizes the oscillation through plastic deformation. Due to the plastic …

[HTML][HTML] Frame-indifference of cross products, rotations, and the permutation tensor

M Du - Theoretical and Applied Mechanics Letters, 2020 - Elsevier
Under improper transformations, the traditional transformation laws for cross products, the
permutation tensor, and rotations are incorrect. For a cross product, using a counter …

An analytical solution of stationary hydrodynamic equations of a main-sequence star

A Marasco, A Romano - … Journal of Geometric Methods in Modern …, 2019 - World Scientific
We propose an analytic C 1 solution of the hydrodynamic equations for a main-sequence
star in stationary and spherically symmetric conditions. We reach this result starting from …

Modeling eutrophic lakes: From mass balance laws to ordinary differential equations

A Marasco, L Ferrara, A Romano - International Journal of …, 2017 - World Scientific
Starting from integral balance laws, a model based on nonlinear ordinary differential
equations (ODEs) describing the evolution of Phosphorus cycle in a lake is proposed. After …

An introduction to mixture theory

A Romano, A Marasco, A Romano… - … : Advanced Topics and …, 2010 - Springer
We have already remarked that the simplified models of continuum mechanics (perfect and
viscous fluids, elastic systems, etc.) do not always accurately describe the complex …

A critical overview of stationary solar models based on polytropic gases

A Marasco, A Romano - … Journal of Geometric Methods in Modern …, 2020 - World Scientific
We critically analyze the models of a main-sequence star based on polytropic gases. First,
we put in evidence that the hypothesis of polytropic gas is compatible with the constitutive …

Introduction to Magnetofluid Dynamics

A Romano, A Marasco, A Romano… - … : Advanced Topics and …, 2010 - Springer
Chapter 8 Page 1 Chapter 8 Introduction to Magnetofluid Dynamics 8.1 An Evolution
Equation for the Magnetic Field In this section we consider the equations of quasi-magnetostatics …