03376nam 2200613 450 991079603490332120170822144215.01-4704-1485-6(CKB)3780000000000266(EBL)3114209(SSID)ssj0001351945(PQKBManifestationID)11831850(PQKBTitleCode)TC0001351945(PQKBWorkID)11309252(PQKB)10938431(MiAaPQ)EBC3114209(RPAM)17922576(PPN)195408586(EXLCZ)99378000000000026620150417h20132013 uy 0engur|n|---|||||txtccrNonlinear stability of Ekman boundary layers in rotation stratified fluids /Hajime KobaProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (142 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 228, Number 1073'Volume 228, Number 1073 (fifth of 5 numbers)."0-8218-9133-2 Includes bibliographical references.""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""Chapter 2. Formulation and Main Results""; ""2.1. Function Spaces and Notation""; ""2.2. Formulation and Main Results""; ""Chapter 3. Linearized Problem""; ""3.1. Trace Operators and Characterizations of Function Spaces""; ""3.2. Stokes-Laplace Operators with Dirichlet Boundary Conditions _{ }""; ""3.3.""; ""3.4. Ekman Operators _{ , }""; ""3.5. Linear Stability""; ""Chapter 4. Existence of Global Weak Solutions""; ""4.1. Construction of Approximate Solutions""; ""4.2. A-priori Bounds for Approximate Solutions""""4.3. Convergence Properties""""4.4. Weak Continuity and an Energy Inequality""; ""4.5. Existence of a Weak Solution""; ""Chapter 5. Uniqueness of Weak Solutions""; ""5.1. Strong Energy Inequality""; ""5.2. Strong Energy Equality""; ""5.3. Uniqueness of Weak Solutions""; ""Chapter 6. Nonlinear Stability""; ""6.1. Weak Nonlinear Stability""; ""6.2. Decay Property""; ""Chapter 7. Smoothness of Weak Solutions""; ""7.1. Construction of a Unique Strong Solution""; ""7.2. Smoothness of Weak Solutions""; ""Chapter 8. Some Extensions of the Theory""; ""8.1. Navier-Stokes System with Coriolis Force""""Appendix A. Toolbox""""A.1. Heinz-Katoâ€?s Theorem and Maximal ^{ }-Regularity""; ""A.2. Compactness Criteria and Properties of a Mollifier""; ""A.3. Proofs of Useful Lemmas""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 228, Number 1073.Navier-Stokes equationsFluid mechanicsStratified flowMathematical modelsNonlinear boundary value problemsNavier-Stokes equations.Fluid mechanics.Stratified flowMathematical models.Nonlinear boundary value problems.532/.051Koba Hajime1984-1519507MiAaPQMiAaPQMiAaPQBOOK9910796034903321Nonlinear stability of Ekman boundary layers in rotation stratified fluids3757669UNINA