The phrase "a slowing and eventually" is correct and usable in written English.
It can be used to describe a gradual decrease in speed or intensity leading to a final outcome or state.
Example: "The car experienced a slowing and eventually came to a complete stop at the traffic light."
Alternatives: "a gradual decrease and ultimately" or "a deceleration and finally".
This is the "glide path" that I'm sure Mr. Obama's campaign team is hoping for: pull ahead by five or six points after the convention, expect Mr. Romney to cut that to around three points by start of the baseball playoffs, but eventually win a slow-and-steady race that the pundits will describe as "never quite as close as it looked".
Overall dynamics of fitness potential is highly consistent in different experiments and is what one would expect: an initially rapid increase is followed by a slow-down, and eventually a plateau is reached (Fig. 2A,B).
As a result, the current increases at a slower rate and eventually saturates.
In contrast, mice vaccinated with FLU-NA-DIII lost body weight at a slower rate and eventually recovered from the infection with WNV-NY99.
Data from this reef thus provide a same-site perspective on the degree of temporal continuity that exists where an actively growing reef slows and eventually ceases to accrete for an extended period, before re-establishing and growing again a temporal transition equivalent to reef 'turn-off' followed by renewed reef 'turn-on'.
The legs weaken, the arm slows, and eventually, a 96-mile-an-hour weapon becomes an easy target for hitters.
The Obama administration, trying to inject a hopeful note into an increasingly grim atmosphere, announced late Wednesday that it would contribute $1 billion to a multilateral fund to slow and eventually reverse deforestation in developing countries, contingent on reaching an overall deal here.
"Instead of having a fast dedicated low latency link between the operators and the robot, Darpa is forcing everyone to communicate with a link that's slow and eventually - in 2014 - will have drop-outs.
The company continued to be plagued by lack of funds, and, despite completion of the grade between Norwood and Waynesville within a year, work soon slowed and eventually stopped in late 1878.
In high-Na+ media, however, the osmotic fragility curves showed a slow and persistent right shift, eventually leading to the lysis of many RBCs.
