Coupled sound and heat flow and the method of least squares
Abstract
Attention is given to a mixed initialboundary value problem for a coupled system of two evolution equations, the linearized equations of coupled sound and heat flow, in a general domain with a smooth boundary. Mathematically, the problem involves consideration of two or more unbounded operators of different strength. The infinitesimal motion of a compressible fluid in which the transfer of energy by thermal conduction is a significant aspect of the flow is considered.
 Publication:

Mathematics of Computation
 Pub Date:
 April 1975
 Bibcode:
 1975MaCom..29..447C
 Keywords:

 Boundary Value Problems;
 Heat Transmission;
 Least Squares Method;
 Sound Transmission;
 Compressible Fluids;
 Dirichlet Problem;
 Integral Equations;
 Linear Equations;
 Operators (Mathematics);
 Thermal Conductivity;
 Fluid Mechanics and Heat Transfer