Open questions in continuum mechanics include unresolved issues related to the Navier-Stokes equations, particularly in the context of turbulence, which remains a significant area of research. Advances in material modeling are increasingly incorporating multiscale approaches that connect continuum mechanics with quantum and statistical mechanics. Fields such as fracture and damage mechanics are evolving, benefiting from these interdisciplinary links, although some research starts from micro/nano scales without such couplings. Additionally, multiple phase flow is highlighted as a critical area of ongoing investigation. The discussion emphasizes the complexity of phase transitions between gases and liquids, indicating a need for further clarification and exploration.