Free piston problem for a viscous gas
Free piston problem for a viscous gas
Summary: We consider a free boundary value problem related to the motion of piston in viscous isentropic gas. We use the fundamental solution of a third-order operator, and we extend the methods used by \textit{A. Friedman} [J. Math. Mech. 8, No. 4, 499-517 (1959; Zbl 0089.07801)] for Stefan problem. The main result is an existence theorem.
fundamental solution, viscous isentropic gas, free boundary value problem, Free boundary problems for PDEs, third-order operator, Stefan problem, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, PDEs in connection with fluid mechanics, piston motion, existence theorem
fundamental solution, viscous isentropic gas, free boundary value problem, Free boundary problems for PDEs, third-order operator, Stefan problem, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, PDEs in connection with fluid mechanics, piston motion, existence theorem
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