To continue to exist during a difficult situation and until it ends, without serious harm. (Cambridge Dictionary)
If a ship rides out a period of bad weather, it continues to float during it, without serious damage. (Cambridge Dictionary)
To succeed in surviving or getting through (something dangerous or harmful that cannot be stopped or avoided). (Merriam – Webster)
If someone rides out a storm or a crisis, they manage to survive a difficult period without suffering serious harm. (Collins Dictionary)
Spanish architects ride out the crisis.
How to ride out the economic crisis.