The recently established Sanderforschungsbereich 606: Nonstationary combustion: transport phenomena, chemical reactions, technical systems at the Universitat Karlsruhe in cooperation with the Forschungszentrum Karlsruhe, the Universitat Stuttgart, and the DLR Stuttgart aims to improve the fundamental understanding and to further develop advanced combustion concepts, where time dependant processes are relevant. In these concepts premixed combustion is being applied to an increasing extent. In the present habilitation thesis premixed flames are considered resolving their time and space structures, thus omitting both space and time averaging. Experiments show that premixed flames are frequently thin compared to the hydrodynamic scales and may be viewed as a gasdynamic discontinuity separating the fresh mixture from the lighter products. Darrieus (1938 und 1945) and Landau (1944) independently proposed a model of a flame as a gasdynamic discontinuity, which consists of the Euler equations for the inviscid flow on either side of the flame and an ansatz for the flame propagation. In particular they assumed that the flame propagates at a constant speed and that the flows on either side of the flame are related to each other by jump conditions conserving mass and momentum, Markstein (1951) proposed a model where variations of the flame speed occur due to the curvature of the flame. In contrast to the previous heuristic models Sivashinsky (1976) derived a flame speed relation applying strict asymptotic methods. The model is applicable if the Lewis number (ratio of the diffusivities of heat and limiting species mass) is bounded away from unity. The jump conditions of the models by Markstein-, Sivashinsky- and Darrieus-Landau are identical. Finally, Matalon & Matkowsky (1982) derived a flame speed relation, valid for Lewis numbers close to unity, where flame speed is a function of flame stretch. In addition jump conditions where derived, which no longer conserve mass and momentum and which represent perturbative corrections of the Darrieus -Landau jump conditions. In this habilitation thesis tensor algebra is applied to derive a unified model, consisting of a new flame speed relation and new jump conditions, which is applicable for arbitrary Lewis numbers. In appropriate limits the models of Sivashinsky and Matalon-Matkowsky are recovered. Moreover a new distinguished limit allows for larger Lewis number deviations from unity as compared to the Matalon-Matkowsky theory thus bridging the Matalon-Matkowsky and the Sivashinsky theory. Considering shortwave corrugations of the flame not considered previously, results in new terms coupling neighboring flame elements. These terms damp short wave perturbations of the flame surface, and thus in contrast to previous theories the unified theory is applicable when the flame is unstable with respects to shortwave pulsating instabilities. Remarkable is the fact, that the flame speed relation and jump conditions depend on the precise location of the discontinuity surface. When Gibbs (1879) studied the free interface problem of two adjacent immiscible fluids, he made a similar observation. Depending on the choice of the interface an excess surface mass must be assigned to the interface. In contrast to previous theories the surface is chosen to yield a vanishing excess surface mass. This results in substantially simplified jump conditions.