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Studies of planetary atmospheric composition, variability, and evolution require appropriate theoretical and numerical tools to estimate key atmospheric parameters, among which the mass-loss rate is often the most important. In evolutionary…

The physical equations determining the motion of moist atmospheric air in the presence of condensation remain controversial. Two distinct formulations have been proposed, published and cited. The equation of Bannon [2002, J. Atmos. Sci. 59:…

流体动力学 · 物理学 2013-08-30 A. M. Makarieva , V. G. Gorshkov , A. V. Nefiodov , D. Sheil , A. D. Nobre , P. Bunyard , B. -L. Li

We present a self-consistent formalism for computing and understanding the atmospheric chemistry of exoplanets from the viewpoint of an astrophysicist. Starting from the first law of thermodynamics, we demonstrate that the van't Hoff…

地球与行星天体物理 · 物理学 2016-01-27 Kevin Heng , James R. Lyons , Shang-Min Tsai

How phase transitions affect the motion of moist atmospheric air remains controversial. In the early 2000s two distinct differential equations of motion were proposed. Besides their contrasting formulations for the acceleration of…

The continuum equations of fluid mechanics are rederived with the intention of keeping certain mechanical and thermodynamic concepts separate. A new "mechanical" mass density is created to be used in computing inertial quantities, whereas…

流体动力学 · 物理学 2017-01-25 Melissa Morris

In this paper it is shown that Smith (2008) used inappropriate and inconsistent formulations in averaging various quantities over the entire surface of the Earth considered as a sphere. Using two instances of averaging procedures as…

大气与海洋物理 · 物理学 2009-08-15 Gerhard Kramm , Ralph Dlugi , Michael Zelger

The Korteweg-de Vries equation is known to yield a valid description of surface waves for waves of small amplitude and large wavelength. The equation features a number of conserved integrals, but there is no consensus among scientists as to…

数学物理 · 物理学 2019-03-27 Samer Israwi , Henrik Kalisch

In the work it has been shown that there are two types of the conservation laws. 1. The conservation laws that can be called exact ones. They point to an avalability of some conservative quantities or objects. Such objects are the physical…

数学物理 · 物理学 2016-09-07 L. I. Petrova

Equation of motion for real dust particle under the action of electromagnetic radiation is more general than equation of motion corresponding to standardly used Poynting-Robertson effect (P-R effect). As a consequence, orbital evolution of…

天体物理学 · 物理学 2007-05-23 Jozef Klacka

In continuum mechanics, the equations of motion for mixtures are derived through the use of Hamilton's extended principle which regards the mixture as a collection of distinct continua. The internal energy is assumed to be a function of…

经典物理 · 物理学 2008-07-29 Henri Gouin

In the standard theory of neutrino oscillations it is supposed that physical observed neutrino states $\nu_{e}, \nu_{\mu}, \nu_{\tau}$ have no definite masses, that they are initially produced as a mixture of the $\nu_{1}, \nu_{2}, \nu_{3}$…

高能物理 - 唯象学 · 物理学 2009-01-01 Kh. M. Beshtoev

Environmental science almost invariably proposes problems of extreme complexity, typically characterized by strongly nonlinear evolution dynamics. The systems under investigation have many degrees of freedom - which makes them complicated -…

大气与海洋物理 · 物理学 2007-05-23 A. Speranza , V. Lucarini

Since the prediction of climate is mainly considered as a prediction of second kind, it is indispensable to assess the accuracy with which these boundary conditions can be determined so that we can find a reasonable answer, whether climate…

大气与海洋物理 · 物理学 2009-11-13 Gerhard Kramm , Ralph Dlugi

Planetary atmospheres, and models of them, are discussed from the viewpoint of condensed matter physics. Atmospheres are a form of condensed matter, and many interesting phenomena of condensed matter systems are realized by them. The…

统计力学 · 物理学 2012-02-27 J. B. Marston

It is shown that the notorious claim by Halpern et al. recently repeated in their comment that the method, logic, and conclusions of our "Falsification Of The CO2 Greenhouse Effects Within The Frame Of Physics" would be in error has no…

大气与海洋物理 · 物理学 2015-03-17 Gerhard Gerlich , Ralf D. Tscheuschner

Monin-Obukhov similarity theory (MOST) stands at the center of understanding of atmospheric surface-layer turbulence. Based on the hypothesis that a single length scale determined by surface fluxes governs the turbulent exchange of…

大气与海洋物理 · 物理学 2023-04-05 Ivana Stiperski , Marc Calaf

Equations for the wave-averaged three-dimensional momentum equations have been published in this journal. It appears that these equations are not consistent with the known depth-integrated momentum balance, especially over a sloping bottom.…

大气与海洋物理 · 物理学 2015-05-18 Anne-Claire Bennis , Fabrice Ardhuin

Gravitational waveforms play a crucial role in comparing observed signals to theoretical predictions. However, obtaining accurate analytical waveforms directly from general relativity remains challenging. Existing methods involve a complex…

广义相对论与量子宇宙学 · 物理学 2023-09-25 Lavinia Heisenberg

A modification of the classical primitive equations of the atmosphere is considered in order to take into account important phase transition phenomena due to air saturation and condensation. We provide a mathematical formulation of the…

偏微分方程分析 · 数学 2015-06-19 Michele Coti Zelati , Aimin Huang , Igor Kukavica , Roger Temam , Mohammed Ziane

We examine the validity of the principle of mass conservation for solutions of some typical equations in the theory of nonlinear diffusion, including equations in standard differential form and also their fractional counterparts. In Part 1,…

偏微分方程分析 · 数学 2025-12-24 Juan Luis Vázquez
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