It sounds like you're just wanting to remove any periods that follow just one word character. I'm sure there might be a rare exception to this, but the following would accomplish that basic feat:
in reply to Lookahead/Lookbehind Regular Expression...
I'd also be tempted to force capitalization on those abbreviations, but that might not be what you're after:
my $str = "a history of u.s. coast guard aviation. M.C. Esher";
$str =~ s/(?<=\W\w)\.//g;
print $str, "\n";
# Remove periods and capitalize, so we have US instead of us.
$str =~ s/(?<=\W)(\w)\./\U$1/g;