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Analysis of Derivatives in Atmospheric Hydrothermodynamics Equations Using Experimental Data: Part 2: Equations for the Wind Field
AbstractThe time and space derivatives of the wind vector components and their products are analyzed for the cases where the components are split...
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LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
It is well known in the literature that vacuum fluctuations can induce a random motion of particles which is sometimes called quantum Brownian motion...
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Effective field theories and cosmological scattering equations
We propose worldsheet formulae for wavefunction coefficients of the massive non-linear sigma model (NLSM), scalar Dirac-Born-Infeld (DBI), and...
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Helical inflation correlators: partial Mellin-Barnes and bootstrap equations
Massive spinning particles acquire helicity-dependent chemical potentials during the inflation from axion-type couplings. Such spinning fields can...
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Connection between Different Levels of Description
One of the major issues raised by the Boltzmann equation is the problem of the reduced description. Equations of hydrodynamics constitute a closet... -
Carrier-Transport Equations
The current in semiconductors is carried by electrons and holes. Their lattice polarization modifies the effective mass, expressed as a change to... -
Cosmological Vlasov–Poisson equations for dark matter
The cosmic large-scale structures of the Universe are mainly the result of the gravitational instability of initially small-density fluctuations in...
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Challenges
The hurdles preventing the clear identification of specific heating mechanisms are essentially unchanged from the 1960s. Some challenges Numerical... -
Mixed Sensitivity Control of Euler-Lagrange Models
Fully actuated Euler-Lagrange (E-L) and Hamilton models are considered. A linearized E-L model is obtained, assuming that the positions of the... -
Stochastic Dynamics on \(\mathbb {R}^d\)
This chapter discusses the theory of Brownian motion (Wiener process) with drift in detail. It derives the stochastic differential equations of... -
On the vibration of size-dependent rotating flexoelectric microbeams
Flexoelectricity is one of the significant electromechanical properties present in the majority of materials with any centrosymmetric crystal...
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Equation of State in Neutron Stars and Supernovae
Neutron stars and supernovae provide cosmic laboratories of highly compressed matter at supranuclear saturation density which is beyond the reach of... -
Equation of State in Neutron Stars and Supernovae
Neutron stars and supernovae provide cosmic laboratories of highly compressed matter at supranuclear saturation density which is beyond the reach of... -
Octonic Maxwell-type multifluid plasma equations
Stimulating from octonic reformulation of the Maxwell-type equations of compressible fluids, this paper aims to extend this effort to derive the...
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PETREL19: a new numerical solution of planetary and lunar ephemeris
The aim of this work is to develop a new numerical ephemeris of the Sun, the eight planets, the Pluto and the Moon. We first construct a dynamical...
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Nonlinear Waves, Solitons, and IST
These lectures are written for a wide audience with diverse backgrounds. The subject is approached from a general perspective and overly detailed... -
Spin- and Energy Relaxation of Hot Electrons at GaAs Surfaces
The mechanisms for spin relaxation in semiconductors are reviewed, and the mechanism prevalent in p-doped semiconductors, namely spin relaxation due... -
Superspace Approaches to \(\mathscr {N} = \text{1}\) Supergravity
The superspace formalism for \(\mathscr {N} = 1\) supergravity in four dimensions is a powerful geometric... -
Ultradiscrete Systems (Cellular Automata)
Ultradiscretization is a limiting procedure which allows one to obtain a cellular automaton (CA) from continuous equations. Using this method, we can... -
Testing theories of gravity with planetary ephemerides
We describe here how planetary ephemerides are built in the framework of General Relativity and how they can be used to test alternative theories. We...