The phrase "a serious application for" is correct and usable in written English.
It can be used when referring to a formal request or submission for something significant, such as a job, grant, or program.
Example: "She submitted a serious application for the scholarship, highlighting her academic achievements and community service."
Alternatives: "a formal request for" or "a substantial application for".
Mr Sewell's online petition is still running, but he believes it would take the involvement of big business before a serious application for an England TLD will be made.
So, for all of these reasons we took part of Snapchat, which has been used for absolutely childish, playful nature, and found a serious application for it.
Managing director Rob Heys told BBC Radio Lancashire that Stanley have had around 40 serious applications for the vacancy, with interviews scheduled to take place early next week.
"We had 58 serious applications for the jobs - all weird and wonderful names, some really distinctive, some not so much - it was a really difficult process even just to whittle that down given how many good candidates and how many strong candidates, many with experience in very senior leagues in world football.
As a result, 1000-N-class H2O2/hydrocarbon bipropellant rocket systems are in a stage requiring a serious exploration for application.
This alternative modelling technique has a black box character, which is a serious drawback for application in medical practice.
While this represents a serious drawback for application of crossing, the availability of a female sterile strain facilitates detailed investigation of male and female sterility despite the lack of protoperithecia and hence classical crossing techniques.
We both were in a situation that required serious application.
But a satellite-navigation system is a serious, practical application.
This will be a serious problem for the application and validation of thermal-based land-surface models over heterogeneous landscapes.
