NEW INTEGRAL REPRESENTATIONS OF ANALYTICAL SOLUTIONS TO BOUNDARY-VALUE PROBLEMS OF NONSTATIONARY TRANSFER IN REGIONS WITH MOVING BOUNDARIES E. M. Kartashov UDC 536.2.001 This article surveys the development of a Green function method in solving boundary-value problems of nonstationary transfer in a region with a moving boundary. For a uniform law of boundary displacement, a modification of the thermal-potential method is suggested that leads to analytical solutions in a new (simplest) integral form. JEPTER7492019993 JEPTER749203