Solving the Navier-Stokes Equations through Collaborative Intelligence with Artificial Intelligence
Year: 2025
Type: article
Abstract: 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 nonmultiplicity; integration with stochastic models and extreme Middle East Journal of Scientific
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funders: University of Cambridge, Nuclear Physics
OpenAlex ID: W4410528161