This paper presents a dynamical model of the stratospheric sudden warming phenomenon, focusing on the interaction between vertically propagating planetary waves and zonal winds. The model suggests that disturbances in the troposphere generate waves that propagate into the stratosphere, where they decelerate the polar night jet and induce a meridional circulation. This leads to the distortion and breakdown of the polar vortex. If the disturbance is intense and persistent, the westerly jet may disappear, replaced by an easterly wind. This easterly wind then interacts with a critical level, causing further warming and weakening of the disturbance. The model is verified through numerical integrations of the adiabatic-geostrophic potential vorticity equation, showing results similar to observed sudden warming events. The model considers three major features of sudden warming: the distortion and breakdown of the polar vortex, sudden warming of the polar air, and the appearance of circumpolar easterly winds. The study discusses the physical mechanism of the model, including planetary wave propagation, the Charney-Drazin theorem, and the acceleration of zonal winds by planetary waves. The model is based on the assumption that planetary waves, generated in the troposphere, propagate into the stratosphere and interact with zonal winds, leading to the sudden warming event. The model is tested through numerical simulations, showing that the results align with observed phenomena. The simulations reveal that the easterly wind accelerates and the temperature rises in the polar region, consistent with the observed sudden warming. The model also accounts for the critical level interaction, where waves are absorbed and the easterly wind becomes more pronounced. The results of the simulations are compared with observations, showing similarities in the evolution of the event, including the elongation and splitting of the polar cyclone, the development of anticyclones, and the slow clockwise rotation of the system during the warming stage. The study concludes that the numerical results under realistic conditions agree well with actual phenomena, suggesting that the model is a promising approach to understanding the stratospheric sudden warming event. The model highlights the importance of planetary wave propagation and zonal wind interaction in causing the sudden warming, and the results support the hypothesis that these processes are key to the observed phenomenon.This paper presents a dynamical model of the stratospheric sudden warming phenomenon, focusing on the interaction between vertically propagating planetary waves and zonal winds. The model suggests that disturbances in the troposphere generate waves that propagate into the stratosphere, where they decelerate the polar night jet and induce a meridional circulation. This leads to the distortion and breakdown of the polar vortex. If the disturbance is intense and persistent, the westerly jet may disappear, replaced by an easterly wind. This easterly wind then interacts with a critical level, causing further warming and weakening of the disturbance. The model is verified through numerical integrations of the adiabatic-geostrophic potential vorticity equation, showing results similar to observed sudden warming events. The model considers three major features of sudden warming: the distortion and breakdown of the polar vortex, sudden warming of the polar air, and the appearance of circumpolar easterly winds. The study discusses the physical mechanism of the model, including planetary wave propagation, the Charney-Drazin theorem, and the acceleration of zonal winds by planetary waves. The model is based on the assumption that planetary waves, generated in the troposphere, propagate into the stratosphere and interact with zonal winds, leading to the sudden warming event. The model is tested through numerical simulations, showing that the results align with observed phenomena. The simulations reveal that the easterly wind accelerates and the temperature rises in the polar region, consistent with the observed sudden warming. The model also accounts for the critical level interaction, where waves are absorbed and the easterly wind becomes more pronounced. The results of the simulations are compared with observations, showing similarities in the evolution of the event, including the elongation and splitting of the polar cyclone, the development of anticyclones, and the slow clockwise rotation of the system during the warming stage. The study concludes that the numerical results under realistic conditions agree well with actual phenomena, suggesting that the model is a promising approach to understanding the stratospheric sudden warming event. The model highlights the importance of planetary wave propagation and zonal wind interaction in causing the sudden warming, and the results support the hypothesis that these processes are key to the observed phenomenon.