Symmetric operators for transfer problems in three-dimensional moving media (Q2773582)

The author studies the problem of heat transfer in a three-dimensional moving medium. He suggests a new mathematical model and formulates the linear boundary value problem with a symmetric positive defined elliptic operator. As a result, the author justifies the minimum principle of the quadratic energy functional and proves the existence and uniqueness of generalized solutions. Besides, the classical minimum principle of entropy production is extended to the heat transfer in moving media. Moreover, the author shows an advantage of the proposed approach by comparison to the exponent symmetrization and the least squares method.