This paper proposes mathematical models of gas hydrate decomposition in high-temperature media. These models are based on heat and mass balances with a set of assumptions about transfer mechanisms and features of chemical reactions. The calculations provide an insight into dynamics of hydrate particles in a flame environment and shed light on possible results of interaction between the combustion front and emission of gas and vapor. Several examples are provided to illustrate the potential of hydrates as a fuel and as a flame extinguishing material. The developed models enable the generation of numerical estimates, which can be employed to design technologies for beneficial uses of gas hydrates.