The existence of global strong solutions to a multi-dimensional compressible Navier-Stokes-Poisson-Korteweg system with some large initial data

Key Points

• The study aims to establish the global existence of strong solutions to a specific multi-dimensional model under large initial data conditions.
• Analyzed the Cauchy problem for the Navier-Stokes-Poisson-Korteweg model
• Proved existence of strong solutions
• Provided examples illustrating initial data with large norms in Besov spaces
• Established global strong solutions exist even for large initial data
• Identified initial data that satisfies smallness conditions despite large norms
• Demonstrated relationships between initial conditions and solution behavior in critical spaces