This chapter is concerned with the theory of isotropic micropolar media, and its purpose is defined by obtaining both the variational principle and the continuous dependence in the case of the mentioned theory. An new presentation of our mixed problem is defined by the corresponding basic equations of the present theory and the initial and boundary conditions. With respect to this alternative characterization, the convolutional variational principle is obtained, followed by the obtaining of the continuous dependence of the solutions over the initial data and the terms of external supply in the present context.

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On a Variational Principle and Continuous Dependence Result for a Micropolar Izotropic Body

  • Iana M. Fudulu,
  • Marin Marin

摘要

This chapter is concerned with the theory of isotropic micropolar media, and its purpose is defined by obtaining both the variational principle and the continuous dependence in the case of the mentioned theory. An new presentation of our mixed problem is defined by the corresponding basic equations of the present theory and the initial and boundary conditions. With respect to this alternative characterization, the convolutional variational principle is obtained, followed by the obtaining of the continuous dependence of the solutions over the initial data and the terms of external supply in the present context.