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Estimates of the validity range for the hyperbolic equation of heat-conduction in homogeneous symmetric continuous bodies

✍ Scribed by K. V. Lakusta; M. P. Lenyuk


Publisher
Springer US
Year
1980
Tongue
English
Weight
362 KB
Volume
39
Category
Article
ISSN
1573-871X

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## Abstract We estimate the blow‐up time for the reaction diffusion equation __u__~__t__~=Ξ”__u__+ Ξ»__f__(__u__), for the radial symmetric case, where __f__ is a positive, increasing and convex function growing fast enough at infinity. Here Ξ»>Ξ»^\*^, where Ξ»^\*^ is the β€˜extremal’ (critical) value for