caa a22 4500 606194134 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00030-014-0295-9 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0295-9 On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study [Elektronische Daten] [Nataliya Vasylyeva, Lyudmyla Vynnytska] We study the anomalous diffusion version of the quasistationary Stefan problem (the fractional quasistationary Stefan problem) in the multidimensional case $${\Omega(t) \subset R^{n},\, n \geq 2}$$ Ω ( t ) ⊂ R n , n ≥ 2 . This free boundary problem is a mathematical model of a solute drug released from a polymer matrix ( $${n = \overline{1,3}}$$ n = 1 , 3 ¯ ). We prove the existence and uniqueness of the classical solution for this moving boundary problem locally in time. A numerical solution is constructed in the two-dimensional case. Springer Basel, 2014 Quasistationary Stefan problem nationallicence Anomalous diffusion nationallicence Caputo derivative nationallicence Coercive estimates nationallicence Vasylyeva Nataliya Institute of Applied Mathematics and Mechanics of NAS of Ukraine, R.Luxemburg, str. 74, 83114, Donetsk, Ukraine aut Vynnytska Lyudmyla Simula Research Laboratory, P.O. Box 134, 1325, Lysaker, Norway aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 543-577 1021-9722 22:4<543 2015 22 30 https://doi.org/10.1007/s00030-014-0295-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0295-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vasylyeva Nataliya Institute of Applied Mathematics and Mechanics of NAS of Ukraine, R.Luxemburg, str. 74, 83114, Donetsk, Ukraine aut NATIONALLICENCE 700 1- Vynnytska Lyudmyla Simula Research Laboratory, P.O. Box 134, 1325, Lysaker, Norway aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 543-577 1021-9722 22:4<543 2015 22 30