Weak solution of system of ferro-magnetic chain with several variables. (English) Zbl 0656.35123
Weak solutions of homogeneous boundary problems for the system of ferro- magnetic chain with several variables and the corresponding spin system are established. The convergence of the solution for the spin system to the solution for the system of ferro-magnetic chain is proved when the coefficient of the diffusion term tends to zero.
MSC:
| 35Q99 | Partial differential equations of mathematical physics and other areas of application |
| 35D05 | Existence of generalized solutions of PDE (MSC2000) |
