Coupled sound and heat flow and the method of least squares
Abstract
Attention is given to a mixed initial-boundary 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