Large time behavior of the solutions to a one-dimensional Stefan problem with a kinetic condition at the free boundary
2004 ◽
Vol 15
(3)
◽
pp. 297-313
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Keyword(s):
We consider a Stefan problem with a kinetic condition at the free boundary and prove the convergence of the solution as $t$ tends to infinity either to a travelling wave solution or to a self-similar solution. The key idea is to transform this problem into a problem for a single nonlocal parabolic equation which admits a comparison principle.
2007 ◽
Vol 04
(01)
◽
pp. 147-179
◽
1994 ◽
Vol 108
(1)
◽
pp. 1-35
◽
Asymptotic behavior of solutions to the Stefan problem with a kinetic condition at the free boundary
1989 ◽
Vol 31
(1)
◽
pp. 81-96
◽
2017 ◽
Vol 445
(1)
◽
pp. 837-854
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Keyword(s):
Keyword(s):
2020 ◽
Vol 43
(15)
◽
pp. 8466-8487
Keyword(s):
Keyword(s):