Zobrazeno 1 - 10
of 105
pro vyhledávání: '"80A25"'
Autor:
Morgan, A. George
I examine some analytical properties of a nonlinear reaction-diffusion system that has been used to model the propagation of a wildfire. I establish global-in-time existence and uniqueness of bounded mild solutions to the Cauchy problem for this syst
Externí odkaz:
http://arxiv.org/abs/2406.00575
We prove the existence of a family of travelling wave solutions in a variant of the $\textit{Zeldovich-Frank-Kamenetskii (ZFK) equation}$, a reaction-diffusion equation which models the propagation of planar laminar premixed flames in combustion theo
Externí odkaz:
http://arxiv.org/abs/2405.10076
Combustion occurring in porous media has various practical applications, such as in in-situ combustion processes in oil reservoirs, the combustion of biogas in sanitary landfills, and many others. A porous medium where combustion takes place can cons
Externí odkaz:
http://arxiv.org/abs/2308.14923
Publikováno v:
Physica D 454 (2023) 133859
In this paper, we consider a reaction-diffusion system describing the propagation of flames under the assumption of ignition-temperature kinetics and fractional reaction order. It was shown in [3] that this system admits a traveling front solution. I
Externí odkaz:
http://arxiv.org/abs/2305.03654
Autor:
Schulze, Philipp
We discuss structure-preserving model order reduction for port-Hamiltonian systems based on an approximation of the full-order state by a linear combination of ansatz functions which depend themselves on the state of the reduced-order model. In recen
Externí odkaz:
http://arxiv.org/abs/2302.06479
Autor:
Kaiser, Thomas Ludwig, Varillon, Gregoire, Polifke, Wolfgang, Zhang, Feichi, Zirwes, Thorsten, Bockhorn, Henning, Oberleithner, Kilian
This study performs a linear analysis of a turbulent reacting methane-air jet flame, with the goal of predicting the response of the reacting flow to upstream acoustic actuation. Accounting for heat release fluctuations is a vital component when inve
Externí odkaz:
http://arxiv.org/abs/2211.13888
The current success of machine learning on image-based combustion monitoring is based on massive data, which is costly even impossible for industrial applications. To address this conflict, we introduce few-shot learning in order to achieve combustio
Externí odkaz:
http://arxiv.org/abs/2210.07845
This study proved that the Cauchy problem for a one-dimensional reaction-diffusion-convection system is locally and globally well-posed in $\mathtt{H}^2(\mathbb{R})$. The system modeled a gasless combustion front through a multi-layer porous medium w
Externí odkaz:
http://arxiv.org/abs/2206.06766
Publikováno v:
Computer Methods in Applied Mechanics and Engineering 402 (2022) 115336
This work proposes a Bayesian inference method for the reduced-order modeling of time-dependent systems. Informed by the structure of the governing equations, the task of learning a reduced-order model from data is posed as a Bayesian inverse problem
Externí odkaz:
http://arxiv.org/abs/2204.10829
Publikováno v:
Fluids 6(8):280, 2021
We propose a new hyper-reduction method for a recently introduced nonlinear model reduction framework based on dynamically transformed basis functions and especially well-suited for advection-dominated systems. Furthermore, we discuss applying this n
Externí odkaz:
http://arxiv.org/abs/2106.11381