  We study supergravity solutions of type II branes wrapping a Melvin universe.
These solutions provide the gravity description of non-commutative field
theories with non-constant non-commutative parameter. Typically these theories
are non-supersymmetric, though they exhibit some feature of their corresponding
supersymmetric theories. An interesting feature of these non-commutative
theories is that there is a critical length in the theory in which for
distances larger than this length the effects of non-commutativity become
important and for smaller distances these effects are negligible. Therefore we
would expect to see this kind of non-commutativity in large distances which
might be relevant in cosmology. We also study M5-brane wrapping on
11-dimensional Melvin universe and its descendant theories upon compactifying
on a circle.
