Zobrazeno 1 - 10
of 54
pro vyhledávání: '"John W. Dold"'
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using class
Publikováno v:
Budd, C J, Dold, J W & Galaktionov, V A 2015, ' Global blow-up for a semilinear heat equation on a subspace ', Proceedings of the Royal Society of Edinburgh Section A-Mathematics, vol. 145, no. 5, pp. 893-923 . https://doi.org/10.1017/S0308210515000256
We study the asymptotic behaviour as t → T–, near a finite blow-up time T > 0, of decreasing-in-x solutions to the following semilinear heat equation with a non-local term:with Neumann boundary conditions and strictly decreasing initial function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98f05e775049cf9f0238b58e76a3cedb
https://purehost.bath.ac.uk/ws/files/137270212/global.pdf
https://purehost.bath.ac.uk/ws/files/137270212/global.pdf
Autor:
Rodney Weber, John W. Dold
Publikováno v:
JSME International Journal Series B. 49:590-593
Fires burning on 18th January 2003 generated a series of cumulonimbus clouds that probably exacerbated a fire that reached suburban Canberra. Powerful whirlwinds were generated, at least one of which might have been a genuine tornado. We briefly revi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b805f60546f33575bb24270802339964
https://doi.org/10.1299/jsmeb.49.590
https://doi.org/10.1299/jsmeb.49.590
The effect of heat loss on flame edges in a non-premixed counterflow within a thermo-diffusive model
Publikováno v:
Combustion Theory and Modelling. 8:683-699
We present an asymptotic study of the effect of volumetric heat loss on the propagation of triple flames in a counterflow configuration at constant density. Analytical results for the speed, the local burning rate, the shape and the extent of the fla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::553392bca5510ed9f48ae74339019ab0
https://doi.org/10.1088/1364-7830/8/4/002
https://doi.org/10.1088/1364-7830/8/4/002
Publikováno v:
Combustion Theory and Modelling. 8:41-64
Flame propagation in channels and cracks is a problem of considerable interest with applications in many combustion devices and in fire hazard scenarios. In this paper, the propagation of premixed flames in two-dimensional channels of variable width
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f58cad1b600a22b8f287bdec429d5d37
https://doi.org/10.1088/1364-7830/8/1/003
https://doi.org/10.1088/1364-7830/8/1/003
Publikováno v:
Combustion Theory and Modelling. 7:221-242
We describe the combined influence of heat-loss and strain (characterized here by non-dimensional parameters ? and ?, respectively) on premixed flame-edges in a two-dimensional counterflow configuration. The problem is formulated as a thermo-diffusiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f2b2b7c12d00a1f173b7fe22bf83894
https://doi.org/10.1088/1364-7830/7/2/302
https://doi.org/10.1088/1364-7830/7/2/302
Publikováno v:
Combustion Theory and Modelling. 7:175-203
Spherical flame balls are studied using a model for the chemical kinetics which involves a non-exothermic autocatalytic reaction, describing the chain-branching generation of a chemical radical and an exothermic completion reaction, the rate of which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01ef3d1f956570bcef6ef656e883be64
https://doi.org/10.1088/1364-7830/7/1/310
https://doi.org/10.1088/1364-7830/7/1/310
Publikováno v:
Combustion Theory and Modelling. 7:109-127
The differences need to be understood between the leading order jump conditions, often assumed at a flame sheet in combustion theory, and the actual effect of a one step chemical reaction governed by Arrhenius kinetics. These differences are higher o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b36e539ae9da74c66f6eb3e460cc524
https://doi.org/10.1088/1364-7830/7/1/306
https://doi.org/10.1088/1364-7830/7/1/306
Publikováno v:
Springer Undergraduate Mathematics Series ISBN: 9783319225685
This chapter is an introduction to finite difference approximation methods. Key concepts like local truncation error, numerical stability and convergence of approximate solutions are developed in a one-dimensional setting. This chapter establishes th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e182346b00185c5f8676a605b7f1eb4
https://doi.org/10.1007/978-3-319-22569-2_6
https://doi.org/10.1007/978-3-319-22569-2_6
Publikováno v:
Springer Undergraduate Mathematics Series ISBN: 9783319225685
This chapter extends the ideas in earlier chapters and identifies two concepts that are useful for checking the well-posedness of boundary value problems. These concepts play a fundamental role in establishing the stability of finite difference solut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a14edb7e8960d06d042240af9153fbec
https://doi.org/10.1007/978-3-319-22569-2_7
https://doi.org/10.1007/978-3-319-22569-2_7