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A model is proposed to explain the observed correlation between monthly fluctuations in atmospheric CO2 concentrations and temperatures. The model relies on the oceans being in a temperature-dependent equilibrium with the atmosphere. When…

Atmospheric and Oceanic Physics · Physics 2008-02-22 Francois Ouellette

We use the Met Office Unified Model to explore the potential of a tidally locked M dwarf planet, nominally Proxima Centauri b irradiated by a quiescent version of its host star, to sustain an atmospheric ozone layer. We assume a slab ocean…

Earth and Planetary Astrophysics · Physics 2020-01-15 Jack S. Yates , Paul I. Palmer , James Manners , Ian Boutle , Krisztian Kohary , Nathan Mayne , Luke Abraham

Modelling the Calvin cycle of photosynthesis leads to various systems of ordinary differential equations and reaction-diffusion equations. They differ by the choice of chemical substances included in the model, the choices of stoichiometric…

Molecular Networks · Quantitative Biology 2015-06-15 Alan D. Rendall , Juan J. L. Velazquez

Molecular oxygen in our atmosphere has increased from less than a part per million in the Archean Eon, to a fraction of a percent in the Proterozoic, and finally to modern levels during the Phanerozoic. The ozone layer formed with the early…

Earth and Planetary Astrophysics · Physics 2023-07-25 Russell Deitrick , Colin Goldblatt

Understanding the lifetime of CO2 in the atmosphere is critical for predictions regarding future climate changes. A simple mass conservation analysis presented here generates tight estimations for the atmosphere's retention time constant.…

Atmospheric and Oceanic Physics · Physics 2014-12-31 Riccardo DeSalvo

The Great Oxidation Event was a period during which Earth's atmospheric oxygen (O$_2$) concentrations increased from $\sim 10^{-5}$ times its present atmospheric level (PAL) to near modern levels, marking the start of the Proterozoic…

Earth and Planetary Astrophysics · Physics 2022-09-28 Gregory Cooke , Dan Marsh , Catherine Walsh , Sarah Rugheimer , Geronimo Villanueva

Studies on stratospheric ozone have attracted much attention due to its serious impacts on climate changes and its important role as a tracer of Earth's global circulation. Tropospheric ozone as a main atmospheric pollutant damages human…

Adaptation and Self-Organizing Systems · Physics 2021-07-05 Xiaojie Chen , Na Ying , Dean Chen , Yongwen Zhang , Bo Lu , Jingfang Fan , Xiaosong Chen

Tropospheric ozone (O3) is a greenhouse gas which can absorb heat and make the weather even hotter during extreme heatwaves. Besides, it is an influential ground-level air pollutant which can severely damage the environment. Thus evaluating…

Atmospheric and Oceanic Physics · Physics 2021-05-06 Yu-Wen Chen , Sourav Medya , Yi-Chun Chen

We study the mitigation of climate tipping point transitions using an energy balance model. The evolution of the global mean surface temperature is coupled with the CO2 concentration through the green house effect. We model the CO2…

Atmospheric and Oceanic Physics · Physics 2022-01-12 Alexander Mendez , Mohammad Farazmand

We study a two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. The evolution equations of the surface temperature and the atmospheric temperature are coupled by the emission of…

Analysis of PDEs · Mathematics 2023-12-27 Piermarco Cannarsa , Valerio Lucarini , Patrick Martinez , Cristina Urbani , Judith Vancostenoble

Increases in atmospheric CO2 and CH4 result from a combination of forcing from anthropogenic emissions and Earth System feedbacks that reduce or amplify the effects of those emissions on atmospheric concentrations. Despite decades of…

Predicting the occurrence, level and duration of high air pollution concentrations exceeding a given critical level enables researchers to study the health impact of road traffic on local air quality and to inform public policy action.…

Applications · Statistics 2017-05-30 János Gyarmati-Szabó , Leonid V. Bogachev , Haibo Chen

A cellular automaton model is used to describe the dynamics of the catalytic oxidation of $CO$ on a $Pt(100)$ surface. The cellular automaton rules account for the structural phase transformations of the $Pt$ substrate, the reaction…

chao-dyn · Physics 2015-06-24 R. Danielak , A. Perera , M. Moreau , M. Frankowicz , R. Kapral

We investigate a coupled atmosphere-ocean model including the mechanical and thermodynamical interaction between the two fluids for the mid-latitudes. The formulation combines a multilayer quasi-geostrophic dynamical framework with…

Analysis of PDEs · Mathematics 2025-12-23 Federico Fornasaro , Tobias Kuna , Giulia Carigi

Robust atmospheric and radiative transfer modeling will be required to properly interpret reflected light and thermal emission spectra of terrestrial exoplanets. This will help break observational degeneracies between the numerous…

The spatial dependence of total column ozone varies strongly with latitude, so that homogeneous models (invariant to all rotations) are clearly unsuitable. However, an assumption of axial symmetry, which means that the process model is…

Applications · Statistics 2007-09-14 Michael L. Stein

In the search for life in the Universe, molecular oxygen (O$_2$) combined with a reducing species, such as methane (CH$_4$), is considered a promising disequilibrium biosignature. In cases where it would be difficult or impossible to detect…

Earth and Planetary Astrophysics · Physics 2025-08-27 Thea Kozakis , João M. Mendonça , Lars A. Buchhave , Luisa M. Lara

Ozone in Earth's atmosphere is known to have a radiative forcing effect on climate. Motivated by geochemical evidence for one or more nearby supernovae about 2.6 million years ago, we have investigated the question of whether a supernova at…

Earth and Planetary Astrophysics · Physics 2020-10-21 Brian C. Thomas , Cody L. Ratterman

In this work, we study a phase transition model in atmospheric dynamics, inspired by the works [6,14,15], which analyze the primitive equations governing the evolution of velocity, temperature, and specific humidity. The main difficulty…

Analysis of PDEs · Mathematics 2026-05-13 Giada Cianfarani Carnevale , Donatella Donatelli , Stefano Spirito

Starting from a classical Budyko-Sellers-Ghil energy balance model for the average surface temperature of the Earth, a nonautonomous version is designed by allowing the solar irradiance and the cloud cover coefficients to vary with time in…

Atmospheric and Oceanic Physics · Physics 2025-11-25 Iacopo P. Longo , Rafael Obaya , Ana M. Sanz
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