Galaxy Semiconductor's case study discusses their scalable big data architecture using MariaDB 10 to address data challenges, achieve high insertion rates, and ensure fail-safety. They highlight the implementation of partitioning, sharding, and compression techniques to handle substantial data volumes efficiently, achieving a peak insertion rate of 2 TB per day with significant data compression. Future steps involve enhancing monitoring capabilities and automating recovery processes to optimize the performance and reliability of their big data solutions.