Global strong solutions for a class of compressible non‐Newtonian fluids with vacuum |
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| Authors: | Changjia Wang Hongjun Yuan |
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| Institution: | 1. School of Science, Changchun University of Science and Technology, Changchun 130022, People's Republic of China;2. College of Mathematics, Jilin University, Changchun 130012, People's Republic of China |
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| Abstract: | We study a class of compressible non‐Newtonian fluids in one space dimension. We prove, by using iterative method, the global time existence and uniqueness of strong solutions provided that the initial data satisfy a compatibility condition and the initial density is small in its H1‐norm. The main difficulty is due to the strong nonlinearity of the system and the initial vacuum. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | compressible non‐Newtonian fluids global existence and uniqueness strong solutions |
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