Closed solutions of certain parabolic boundary value problems
Abstract
Closed solutions of the first and second boundary value problems for the parabolic heat conduction equations describing parabolic temperature fields in infinite plates are constructed on the basis of the integral representation of a Dirac measure. A summation is given for the series associated with the solution of the heat conduction equation with zero initial and constant boundary conditions.
 Publication:

Boundary Value Problems of the Theory of Heat Conduction
 Pub Date:
 1975
 Bibcode:
 1975bvpt.proc..248E
 Keywords:

 Boundary Value Problems;
 Conductive Heat Transfer;
 Integral Equations;
 Parabolic Differential Equations;
 Plates (Structural Members);
 Boundary Conditions;
 Dirac Equation;
 Euclidean Geometry;
 Series (Mathematics);
 Sums;
 Temperature Distribution;
 Fluid Mechanics and Heat Transfer