Unique solvability for a class of full non-Newtonian fluids of one dimension with vacuum

作者：Yuan Hangjun; Wang Changjia

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2009, 60(5): 868-898.

DOI：10.1007/s00033-008-7124-0

• Non-Newtonian fluids
• local existence and uniqueness
• vacuum

We prove the local existence and uniqueness of the strong solutions for a class of full non-Newtonian fluids in one space dimension with the hypotheses that the initial data are small in some sense and satisfy some compatibility conditions. The initial density need not be positive, which means that we allow the initial vacuum.

• 出版日期2009-9
• 单位吉林大学