caa a22 4500 47579690X CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1007/PL00001499 doi (NATIONALLICENCE)springer-10.1007/PL00001499 The influence of two moving heat sources on blow-up in a reactive-diffusive medium [Elektronische Daten] [C. M. Kirk, W. E. Olmstead] Abstract.: Two concentrated heat sources move through a one-dimensional reactive-diffusive medium. The sources, moving at constant speed in the same direction, are separated by a fixed distance. The leading source serves to preheat the medium ahead of the trailing source. Sufficient conditions, involving the speed and the separation distance, are found for blow-up at the site of the trailing source. Also, the asymptotic behavior of the solution near blow-up is examined. Birkhäuser Verlag, Basel,, 2000 Key words. Moving heat sources, blow-up, integral equations nationallicence Kirk C. M. Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA, (Fax: 847-491-2178), US aut Olmstead W. E. Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA, (Fax: 847-491-2178), US aut https://doi.org/10.1007/PL00001499 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001499 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kirk C. M. Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA, (Fax: 847-491-2178), US aut NATIONALLICENCE 700 1- Olmstead W. E. Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA, (Fax: 847-491-2178), US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer