Abstract
Particular solutions of reaction-diffusion equations for temperature are obtained for explosively unstable situations. As a result of the interplay between inertial, diffusion, pinch and source processes certain `bell-shaped` distributions may grow explosively in time with preserved shape of the spatial distribution. The effect of the pinch, which requires a density inhomogeneity, is found to diminish the effect of diffusion, or inversely to support the inertial and source processes in creating the explosion. The results may be described in terms of elliptic integrals or. more simply, by means of expansions in the spatial coordinate. An application is the temperature evolution of a burning fusion plasma. (au) (18 refs.).
Citation Formats
Wilhelmsson, H.
Explosive instabilities of reaction-diffusion equations including pinch effects.
Sweden: N. p.,
1992.
Web.
Wilhelmsson, H.
Explosive instabilities of reaction-diffusion equations including pinch effects.
Sweden.
Wilhelmsson, H.
1992.
"Explosive instabilities of reaction-diffusion equations including pinch effects."
Sweden.
@misc{etde_10128038,
title = {Explosive instabilities of reaction-diffusion equations including pinch effects}
author = {Wilhelmsson, H}
abstractNote = {Particular solutions of reaction-diffusion equations for temperature are obtained for explosively unstable situations. As a result of the interplay between inertial, diffusion, pinch and source processes certain `bell-shaped` distributions may grow explosively in time with preserved shape of the spatial distribution. The effect of the pinch, which requires a density inhomogeneity, is found to diminish the effect of diffusion, or inversely to support the inertial and source processes in creating the explosion. The results may be described in terms of elliptic integrals or. more simply, by means of expansions in the spatial coordinate. An application is the temperature evolution of a burning fusion plasma. (au) (18 refs.).}
place = {Sweden}
year = {1992}
month = {Dec}
}
title = {Explosive instabilities of reaction-diffusion equations including pinch effects}
author = {Wilhelmsson, H}
abstractNote = {Particular solutions of reaction-diffusion equations for temperature are obtained for explosively unstable situations. As a result of the interplay between inertial, diffusion, pinch and source processes certain `bell-shaped` distributions may grow explosively in time with preserved shape of the spatial distribution. The effect of the pinch, which requires a density inhomogeneity, is found to diminish the effect of diffusion, or inversely to support the inertial and source processes in creating the explosion. The results may be described in terms of elliptic integrals or. more simply, by means of expansions in the spatial coordinate. An application is the temperature evolution of a burning fusion plasma. (au) (18 refs.).}
place = {Sweden}
year = {1992}
month = {Dec}
}