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Periodic solutions of a nonlinear parabolic equation associated with the penetration of a magnetic field into a substance

✍ Scribed by N.T. Long; A.P.N. Dinh

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
579 KB
Volume
30
Category
Article
ISSN
0898-1221

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✦ Synopsis

in a Sobolev space with weight. In the proof, the Galerkin method is employed. Numerical results are given.

πŸ“œ SIMILAR VOLUMES

Non-linear parabolic problem associated
Non-linear parabolic problem associated with the penetration of a magnetic field into a substance
✍ Nguyen Thanh Long; Pham Ngoc Dinh Alain πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 471 KB

## Abstract We study the following initial and boundary value problem: equation image In section 1, with u~0~ in L^2^(Ξ©), __f__ continuous such that __f__(u) + Ο΅ non‐decreasing for Ο΅ positive, we prove the existence of a unique solution on (0,__T__), for each __T__ > 0. In section 2 it is proved