Is the word adriana the same in Brazilian and European Portuguese?

Yes

The word "Adriana" is a proper noun (a name), meaning its spelling, meaning, and grammatical category are identical in both Brazilian and Continental Portuguese. The only difference is in pronunciation.

In Brazilian Portuguese, vowels are generally more "open" and clearly articulated, even in unstressed syllables. In Continental Portuguese, there is a strong tendency toward vowel reduction, where unstressed vowels (such as the final "a" in Adriana) are pronounced much more softly, often becoming almost silent or neutralized. Additionally, the rhythm of Brazilian Portuguese is more melodic, whereas Continental Portuguese tends to be more "clipped" or staccato.

Brazilian Portuguese Examples:

1. A Adriana é minha melhor amiga. (Adriana is my best friend.)
2. Você viu a Adriana no shopping? (Did you see Adriana at the mall?)
3. A Adriana mora aqui perto de casa. (Adriana lives near here, close to home.)
4. Eu vou chamar a Adriana para a festa. (I am going to call Adriana to the party.)
5. A Adriana gosta muito de chocolate. (Adriana likes chocolate very much.)

Continental Portuguese Examples:

1. A Adriana é a minha melhor amiga. (Adriana is my best friend.)
2. Tu viste a Adriana no centro? (Did you see Adriana downtown?)
3. A Adriana mora aqui perto. (Adriana lives near here.)
4. Vou chamar a Adriana para a festa. (I am going to call Adriana to the party.)
5. A Adriana gosta imenso de chocolate. (Adriana likes chocolate immensely/a lot.)