مؤسسة الشرق الأوسط للنشر العلمي
عادةً ما يتم الرد في غضون خمس دقائق
This research presents a comprehensive mathematical solution, developed through collaborative intelligence with artificial intelligence—specifically using the DeepSeek application with its deep reasoning capability (R1) for the development of hybrid and advanced solutions, and ChatGPT for insightful suggestions—to the problem of existence and smoothness of solutions for the Navier-Stokes equations in three-dimensional space. The work is based on: the unified theory of functional spaces to guarantee the existence of solutions for all initial data; the analysis of fractional vortex geometry to prevent singularities; a proof of uniqueness through the principle of non-multiplicity; integration with stochastic models and extreme scenarios; and experimental validation through hybrid quantum-classical simulations.