Here is the #answer.
"Louisa is amazing" is
/lʊˈizə R ɪz əˈmɛɪzɪŋ/ and the phonetic phenomenon is called "Linking (or Intrusive R). "
The Intrusive R sound in English is an extra sound that we use between two words when we are connecting these two words together.
Between a word-final schwa
/ə/ spelt with an < a > (e.g. China, Lisa, America) and a new word beginning with a vowel sound, /r/ will act as a connector e.g. "Vanilla is not black : Vanilla Ris not black/ , "America and France : America Rand France, ... "