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Convergence to the steady state for the reaction-diffusion kinetics of irradiation-produced defects
Affiliation:1. Department of Process and Plant Technology, Brandenburg University of Technology (BTU) Cottbus-Senftenberg, Platz der Deutschen 1, Cottbus 03046, Germany;2. Department of Chemical Engineering Technology, Government College University Faisalabad: GCUF, Allama Iqbal Road, Faisalabad, Punjab 38000, Pakistan;3. Institute of Materials Science of Seville–University of Seville (ICMSE/CSIC-US). Americo Vespucio 49 Sevilla 41002, Spain;4. Department of Chemical and Process Engineering, University of Surrey, Guildford, Surrey GU2 7XH, UK;1. Institut de Planétologie et d’Astrophysique de Grenoble, Univ. Grenoble Alpes, CNRS, Grenoble 38000, France;2. Lunar and Planetary Laboratory, Univ. of Arizona, Tucson, AZ 85721, USA;3. Chemical Sciences and Engineering Division, Argonne National Lab., Argonne, IL 60439, USA;4. Department of Earth and Planetary Sciences, Johns Hopkins Univ., Baltimore, MD 21218, USA;5. Groupe de Spectrométrie Moléculaire et Atmosphérique, Univ. Reims Champagne-Ardenne, CNRS, Reims 51687, France;1. Fenner School of Environment and Society, Australian National University, Canberra, Australia;2. CSIRO Marine and Atmospheric Research, Aspendale, Victoria, Australia;3. CSIRO Data61, GPO Box 1700, Canberra, ACT 2601, Australia
Abstract:The kinetics of irradiation-produced point defects in solids are modelled by certain reaction-diffusion equations in one spatial dimension. For various boundary conditions the global asymptotic stability of the stationary solution is proven using the integrated version of a non-smooth Lyapunov function.
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