An Axisymmetric Boundary Value Problem of Mixed Type for a Half-space

Transient Thermal Mixed Boundary Value Problems in the Half-Space

The Wiener-Hopf and Cagniard-de Hoop techniques are employed in order to solve a range of transient thermal mixed boundary value problems on the halfspace. The thermal field in the half-space is determined via a rapidly convergent integral, which can be evaluated straightforwardly and efficiently. Model problems are considered before the specific application areas of heat loss from buildings in...

Solvability of an impulsive boundary value problem on the half-line via critical point theory

In this paper, an impulsive boundary value problem on the half-line is considered and existence of solutions is proved using Minimization Principal and Mountain Pass Theorem.

MIXED BOUNDARY VALUE PROBLEM FOR A QUARTER-PLANE WITH A ROBIN CONDITION

We consider a mixed boundary value problem for a quarter-plane with a Robin condition on one edge. We have developed two procedures, one based on the advanced theory of dual integral equations and the other, in our opinion simpler technique, relying on conformal mapping. Both of the procedures are of interest, because the former may be easier to adapt to other boundary value problems.

The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile

A solution of the axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions. Several simple shapes of punches of arbitrary profile are considered and an expression for the total load ...

Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space