Wang, You-De Heisenberg chain systems from compact manifolds into \(S^2\). (English) Zbl 0938.58017 J. Math. Phys. 39, No. 1, 363-371 (1998). Summary: It is shown that the initial value problems of Heisenberg spin chain systems with external magnetic field from compact Riemannian manifolds into \(S^2\) admit global weak solutions. Cited in 1 ReviewCited in 15 Documents MSC: 58E50 Applications of variational problems in infinite-dimensional spaces to the sciences 82C21 Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics 82C05 Classical dynamic and nonequilibrium statistical mechanics (general) Keywords:2-sphere; initial value problem; Heisenberg spin chain system; external magnetic field; compact Riemannian manifold; global weak solution PDFBibTeX XMLCite \textit{Y.-D. Wang}, J. Math. Phys. 39, No. 1, 363--371 (1998; Zbl 0938.58017) Full Text: DOI References: [1] DOI: 10.1016/0375-9601(74)90447-2 · doi:10.1016/0375-9601(74)90447-2 [2] DOI: 10.1103/PhysRevB.15.3470 · doi:10.1103/PhysRevB.15.3470 [3] Zhou Y. L., Sci. Sinica A 34 pp 257– (1991) [4] Zhou Y. L., Sci. Sinica A 27 pp 1251– (1987) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.