A nonhomogeneous boundary value problem in mass transfer theory

作者:Crasta Graziano; Malusa Annalisa*
来源:Calculus of Variations and Partial Differential Equations, 2012, 44(1-2): 61-80.
DOI:10.1007/s00526-011-0426-7

摘要

We prove a uniqueness result of solutions for a system of PDEs of Monge-Kantorovich type arising in problems of mass transfer theory. The results are obtained under very mild regularity assumptions both on the reference set Omega subset of R-n, and on the (possibly asymmetric) norm defined in Omega. In the special case when Omega is endowed with the Euclidean metric, our results provide a complete description of the stationary solutions to the tray table problem in granular matter theory.

  • 出版日期2012-5