The well-posedness of a nonlocal hyperbolic model for type-I superconductors

نویسندگان

  • K. Van Bockstal
  • M. Slodička
چکیده

A vectorial nonlocal linear hyperbolic problem with applications in superconductors of type-I is studied. The nonlocal term is represented by a (space) convolution with a singular kernel, which is arising in Eringen’s model. The well-posedness of the problem is discussed under low regularity assumptions and the error estimates for two time-discrete schemes (based on backward Euler approximation) are established.

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تاریخ انتشار 2014