The purpose of HSR 2025 is to give the chance to researchers from academic, industrial, and other institutions who are active in the general field of rheology and transport phenomena to present their latest research work in the field (experimental, numerical, modeling and simulation), to discuss new challenges and directions, and to pursue new collaborations. It is a unique opportunity, especially for young researchers (e.g., PhDs) who have just started their career in the fascinating science of rheology (Τα πάντα ρει, μηδέποτε κατά τ' αυτό μένειν) to present their progress and first achievements.