摘要
In this paper, we are going to consider the initial value problem with periodic boundarycondition and the Cauchy problem associated with the system of ferromagnetic chain withthe Gilbert damping term Z_t=-εZ×(Z×Z_(zz)+Z×Z_(zz), (ε≥0).The existence of a unique smooth solution is established by using the technique of spatialdifference and crucial a priori estimates of higher-order derivatives in Sobolev spaces.
In this paper, we are going to consider the initial value problem with periodic boundarycondition and the Cauchy problem associated with the system of ferromagnetic chain withthe Gilbert damping term Z<sub>t</sub>=-εZ×(Z×Z<sub>zz</sub>+Z×Z<sub>zz</sub>, （ε≥0）.The existence of a unique smooth solution is established by using the technique of spatialdifference and crucial a priori estimates of higher-order derivatives in Sobolev spaces.
基金
Project supported by the National Natural Science Foundation of China.
