"flourishing area" is correct and usable in written English.
You can use it when referring to a region that is growing quickly and that is successful in terms of business and development, for example: "With a population of over one million people, the city of Los Angeles is a flourishing area."
Neighbours, many of whom have lived in Anfield for decades, remembering a vibrant, flourishing area, believe Liverpool bought and left houses empty to deliberately blight the area, intending it would prompt people to leave and drive house prices down.
Particularly in the exponentially flourishing area of technology, a culture that doesn't encourage the support of new, young - and yes, even crazy -- ideas is a moribund culture that will not keep up with rapid fire changes in the global marketplace.
Background: Studying biochemical pathway evolution for diseases is a flourishing area of Systems Biology.
The contributions 2014 indicate that research into the study of early agriculture continues to remain a flourishing area of science.
Tissue engineering and the related discipline of regenerative medicine remain a flourishing area of research with potential new treatments for many more disease states.
The project will affect an all-encompassing change in the region on a number of levels and will provide us all with a green, flourishing area.
Many laid-off bankers insist they can still find work in financial services, despite historic losses suffered by once flourishing areas like fixed income, derivatives and corporate finance.
Note that for the past 30 years or so, the studies of the iterative processes for the approximation of fixed points of nonexpansive mappings and fixed points of some of their generalizations have been flourishing areas of research for many mathematicians (see for more details [1, 4]).
Various religious beliefs, influx of large number of pilgrims and tourists and conversion to other religions axing of plants for monetary benefit have contributed consistently for the degradation of these well flourished areas of vegetation to a mere crunch of trees in many parts of India.
"It's a flourishing commercial area," said Marion Harris, a former chairwoman of the Morristown Historic Preservation Commission, who has been objecting to the proposed redevelopment there for years.
Recently, artist studios and upstart galleries have multiplied in the flourishing downtown area, where new bakeries, pizzerias, tapas bars and food trucks — and trailers and buses and even the odd tricycle — seem to surface at every turn.
