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This paper discusses finite time extinction for a perturbed fast diffusion equation with dynamic boundary conditions. The fast diffusion equation has the characteristic property of decay, such as the solution decays to zero in a finite…

Analysis of PDEs · Mathematics 2020-09-03 Takeshi Fukao

The fractional diffusion equation is rigorously derived as a scaling limit from a deterministic Rayleigh gas, where particles interact via short range potentials with support of size $\varepsilon$ and the background is distributed in space…

Analysis of PDEs · Mathematics 2025-11-04 Karsten Matthies , Theodora Syntaka

Smoldering combustion plays an important role in forest and wildland fires. Fires from smoldering combustion can last for long periods of time, emit more pollutants, and be difficult to extinguish. This makes the study of smoldering in…

Fluid Dynamics · Physics 2019-01-25 Tejas Chandrashekhar Mulky , Kyle E. Niemeyer

The emission of hard real photons from thermalized expanding hadronic matter is dominated by the initial high-temperature expansion phase. Therefore, a measurement of photon emission in ultrarelativistic heavy-ion collisions provides…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thorsten Renk

External magnetic fields reduce diffusion of carbon in BCC iron, but the physical mechanism is not understood. Using DFT calculations with magnetic moments sampled from a Heisenberg model, we calculate diffusivities of carbon in iron at…

Materials Science · Physics 2025-12-18 Luke J. Wirth , Dallas R. Trinkle

We study the evolution of a reactive field advected by a one-dimensional compressible velocity field and subject to an ignition-type nonlinearity. In the limit of small molecular diffusivity the problem can be described by a spatially…

Statistical Mechanics · Physics 2009-11-13 S. Berti , D. Vergni , A. Vulpiani

We introduce a model designed to account for the influence of a line with fast diffusion-such as a road or another transport network-on the dynamics of a population in an ecological niche. This model consists of a system of coupled…

Analysis of PDEs · Mathematics 2019-12-13 Henri Berestycki , Romain Ducasse , Luca Rossi

It is known that unconfined dust explosions consist of a relatively weak primary (turbulent) deflagrations followed by a devastating secondary explosion. The secondary explosion may propagate with a speed of up to 1000 m/s producing…

Fluid Dynamics · Physics 2020-04-17 M. Liberman , N. Kleeorin , I. Rogachevskii , N. E. L. Haugen

Ball lightning, also known as fire ball, is a luminous globe which occurs in the course of a thunderstorm. Taking as model of fire ball, the two fluid plasma consisting of electrons and one species ions, and considering that the plasma flow…

Plasma Physics · Physics 2007-05-23 Ana Marcia Alves Taveira , Paulo Hiroshi Sakanaka

It is no doubt that the most important contributing cause of global efficiency of coal fired thermal systems is combustion efficiency. In this study, the relationship between the flame image obtained by a CCD camera and the excess air…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Sedat Golgiyaz , Muhammed Fatih Talu , Mahmut Daskin , Cem Onat

Recently, Smirnov published a paper (B. M. Smirnov, "Collision and radiative processes in emission of atmospheric carbon dioxide", 2018, J. Phys. D.: Appl. Phys., Vol. 51, No. 21, pp. 214004) which dismisses the role of increasing…

Earth and Planetary Astrophysics · Physics 2020-02-27 M. Lino da Silva , J. Vargas

Wildfires are uncontrolled fires in the environment that can be caused by humans or nature. In 2020 alone, wildfires in California have burned 4.2 million acres, damaged 10,500 buildings or structures, and killed more than 31 people,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Samarth Shah

Determining the habitability and interpreting atmospheric spectra of exoplanets requires understanding their atmospheric physics and chemistry. We use a 3-D Coupled Climate-Chemistry Model, the Met Office Unified Model with the UK Chemistry…

Earth and Planetary Astrophysics · Physics 2022-09-27 Marrick Braam , Paul I. Palmer , Leen Decin , Robert J. Ridgway , Maria Zamyatina , Nathan J. Mayne , Denis E. Sergeev , N. Luke Abraham

This paper is devoted to the study of the persistence versus extinction of species in the reaction-diffusion equation: \begin{equation} u_t-\Delta u=f(t,x_1-ct,y,u) \quad\quad t>0,\ x\in\Omega,\nonumber \end{equation} where $\Omega$ is of…

Analysis of PDEs · Mathematics 2015-09-24 Hoang-Hung Vo

The continuous rise in CO2 emission into the environment is one of the most crucial issues facing the whole world. Many countries are making crucial decisions to control their carbon footprints to escape some of their catastrophic outcomes.…

Machine Learning · Computer Science 2022-12-01 Aman Desai , Shyamal Gandhi , Sachin Gupta , Manan Shah , Samir Patel

Ball lightning is an impressive natural electromagnetic phenomenon occurring in atmosphere under suitable circumstances. Its origin, composition and stability issues are a matter of debate, due to presence of many evidences still…

General Physics · Physics 2018-06-15 Daniele Funaro

In this paper we analyze a nonlinear parabolic equation characterized by a singular diffusion term describing very fast diffusion effects. The equation is settled in a smooth bounded three-dimensional domain and complemented with a general…

Analysis of PDEs · Mathematics 2015-10-05 Giulio Schimperna , Antonio Segatti , Sergey Zelik

Although carbon monoxide (CO) is an abundant molecule and may have great importance for planetary interiors, measurements of its properties are difficult due to its extreme volatility. We calculate the equation of state for CO over a range…

Earth and Planetary Astrophysics · Physics 2023-01-25 Morris Podolak , Amit Levi , Allona Vazan , Uri Malamud

We consider a system of reaction-diffusion equations with passive advection term and Lewis number not equal to one. Such systems are used to describe chemical reactions in a flow in a situation where temperature and material diffusivities…

Chaotic Dynamics · Physics 2009-10-31 Alexander Kiselev , Leonid Ryzhik

The present work investigates the structure of fast supersonic turbulent flames typically observed as precursors to the onset of detonation. These high speed deflagrations are obtained after the interaction of a detonation wave with…

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