Nonhomogeneous Boundary Value Problem for One-Dimensional Compressible Viscous Micropolar Fluid Model: Regularity of the Solution
<p>Abstract</p> <p>An initial-boundary value problem for 1D flow of a compressible viscous heat-conducting micropolar fluid is considered; the fluid is thermodynamically perfect and polytropic. Assuming that the initial data are Hölder continuous on <inline-formula>...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2008/189748 |
| Summary: | <p>Abstract</p> <p>An initial-boundary value problem for 1D flow of a compressible viscous heat-conducting micropolar fluid is considered; the fluid is thermodynamically perfect and polytropic. Assuming that the initial data are Hölder continuous on <inline-formula> <graphic file="1687-2770-2008-189748-i1.gif"/></inline-formula> and transforming the original problem into homogeneous one, we prove that the state function is Hölder continuous on <inline-formula> <graphic file="1687-2770-2008-189748-i2.gif"/></inline-formula>, for each <inline-formula> <graphic file="1687-2770-2008-189748-i3.gif"/></inline-formula>. The proof is based on a global-in-time existence theorem obtained in the previous research paper and on a theory of parabolic equations.</p> |
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| ISSN: | 1687-2762 1687-2770 |