Studies on Solutions to Pressureless Navier-Stokes Equations with Density-Dependent Viscosity and Damping. Part I: Nonlinear Exact Spherically Symmetric Solutions

Key Points

• Nonlinear exact solutions were derived from the pressureless Navier-Stokes equations, showing innovative approaches to fluid dynamics.
• The analysis emphasizes density-dependent viscosity and damping mechanisms, enhancing our understanding of fluid behavior.
• Solutions focus on spherically symmetric configurations, indicating unique properties in specific scenarios of fluid flow.
• Such findings may enable novel applications and further theoretical exploration in advanced fluid dynamics.