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9786202515894: Well-Posedness and Long-Time Dynamics: Rotating Boussinesq and Quasigeostrophic Equations

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This book focuses on the initial boundary value problem to the 3D quasigeostrophic and rotating Boussinesq equations. The equations are derived from conservation laws in continuum physics followed by the formulation of the problem as initial value problem on Hilbert spaces. By using Faedo-Galerkin approximation and semigroup technique, existence and uniqueness of solutions are proved. Additionally, the book outlines how Lyapunov functions can be used to assess energy stability criteria. The author also addresses singular problems for which the equation has parabolic structure (rotating Boussinesq equations for the atmosphere and ocean) and the singular limit is hyperbolic (quasigeostrophic equations for the atmosphere and ocean) in the asymptotic limit of small Rossby number. In particular, this approach gives as a corollary a constructive proof of the well-posedness of the problem of quasigeostrophic potential vorticity equations governing modons.

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Maleafisha Joseph Pekwa Stephen Tladi
ISBN 10: 6202515899 ISBN 13: 9786202515894
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book focuses on the initial boundary value problem to the 3D quasigeostrophic and rotating Boussinesq equations. The equations are derived from conservation laws in continuum physics followed by the formulation of the problem as initial value problem on Hilbert spaces. By using Faedo-Galerkin approximation and semigroup technique, existence and uniqueness of solutions are proved. Additionally, the book outlines how Lyapunov functions can be used to assess energy stability criteria. The author also addresses singular problems for which the equation has parabolic structure (rotating Boussinesq equations for the atmosphere and ocean) and the singular limit is hyperbolic (quasigeostrophic equations for the atmosphere and ocean) in the asymptotic limit of small Rossby number. In particular, this approach gives as a corollary a constructive proof of the well-posedness of the problem of quasigeostrophic potential vorticity equations governing modons. 64 pp. Englisch. Nº de ref. del artículo: 9786202515894

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Maleafisha Joseph Pekwa Stephen Tladi
Publicado por LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6202515899 ISBN 13: 9786202515894
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book focuses on the initial boundary value problem to the 3D quasigeostrophic and rotating Boussinesq equations. The equations are derived from conservation laws in continuum physics followed by the formulation of the problem as initial value problem on Hilbert spaces. By using Faedo-Galerkin approximation and semigroup technique, existence and uniqueness of solutions are proved. Additionally, the book outlines how Lyapunov functions can be used to assess energy stability criteria. The author also addresses singular problems for which the equation has parabolic structure (rotating Boussinesq equations for the atmosphere and ocean) and the singular limit is hyperbolic (quasigeostrophic equations for the atmosphere and ocean) in the asymptotic limit of small Rossby number. In particular, this approach gives as a corollary a constructive proof of the well-posedness of the problem of quasigeostrophic potential vorticity equations governing modons. Nº de ref. del artículo: 9786202515894

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Maleafisha Joseph Pekwa Stephen Tladi
Publicado por LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6202515899 ISBN 13: 9786202515894
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Tladi Maleafisha Joseph Pekwa StephenThe author attended Clark University where he earned his Bachelor of Arts (BA), Summa Cum Laude, Phi Beta Kappa, with Highest Honors in Mathematics. He received his Master of Science (MSc), Magna . Nº de ref. del artículo: 385945386

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Maleafisha Joseph Pekwa Stephen Tladi
ISBN 10: 6202515899 ISBN 13: 9786202515894
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Taschenbuch. Condición: Neu. Neuware -This book focuses on the initial boundary value problem to the 3D quasigeostrophic and rotating Boussinesq equations. The equations are derived from conservation laws in continuum physics followed by the formulation of the problem as initial value problem on Hilbert spaces. By using Faedo-Galerkin approximation and semigroup technique, existence and uniqueness of solutions are proved. Additionally, the book outlines how Lyapunov functions can be used to assess energy stability criteria. The author also addresses singular problems for which the equation has parabolic structure (rotating Boussinesq equations for the atmosphere and ocean) and the singular limit is hyperbolic (quasigeostrophic equations for the atmosphere and ocean) in the asymptotic limit of small Rossby number. In particular, this approach gives as a corollary a constructive proof of the well-posedness of the problem of quasigeostrophic potential vorticity equations governing modons.Books on Demand GmbH, Überseering 33, 22297 Hamburg 64 pp. Englisch. Nº de ref. del artículo: 9786202515894

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