Without knowing what the "south" is, it is impossible to accurately answer. Several national capitals such as Canberra (Australia) are in the south of their countries.
There are more than a dozen US states that could be considered in the South.
The states and their capitals are:
Jefferson City, Missouri
Little Rock, Arkansas
Frankfort, Kentucky
Nashville, Tennessee
Richmond, Virginia
Raleigh, North Carolina
Columbia, South Carolina
Atlanta, Georgia
Tallahassee, Florida
Birmingham, Alabama
Jackson, Mississippi
Baton Rouge, Louisiana
Austin, Texas
Columbia is the capital city of South Carolina.
The University of South Carolina is located in Columbia, South Carolina.
Yes, Pierre, South Dakota is the capital city of South Dakota and is located on the Missouri River.
Bismarck, the capital city of North Dakota, and Pierre, the capital city of South Dakota, are located on the Missouri River.
Columbia is the capital of South Carolina and located on the Conagree River.
There is no capital city called Brazil. There is a capital city called Brazília, which is the capital city of Brazil.
Harrisburg, the capital city of the Commonwealth of Pennsylvania, is located south of New York State.
Pierre, the capital city of South Dakota.
Phoenix is the state capital and the largest city in Arizona. It is located in the south-central portion of Arizona.
Columbia, the capital of South Carolina.
In North Dakota it would be Bismarck. In South Dakota, the capital city of Pierre is located on the Missouri River. And the capital city of Missouri, Jefferson City, is also located on the Missouri River.
The capital of South Dakota is Pierre (pronounced 'peer') which is located on the Missouri River.