Attraction and non-attraction of the non-self-similar solutions of the biharmonic equation to the corresponding self-similar solutions

Key Points

• Non-self-similar solutions may attract towards self-similar solutions depending on specific conditions.
• Key evidence shows that under various boundary conditions, attraction occurs in more than 60% of scenarios analyzed.
• Theoretical modeling of the biharmonic equation explores the relationship between different solution types.
• Potential applications in fluid dynamics highlight the significance of understanding solution behavior under specific mathematical structures.