Strain robert m (6 Ergebnisse)
Global Regularity for Gravity Unstable Muskat Bubbles
Francisco Gancedo, Eduardo Garcia-Juarez, Neel Patel, Robert M. Strain
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Paperback. Zustand: New. In this paper, we study the dynamics of fluids in porous media governed by Darcy's law: the Muskat problem. We consider the setting of two immiscible fluids of different densities and viscosities under the influence of gravity in which one fluid is completely surrounded by the other. This setting is grav…ity unstable because along a portion of the interface, the denser fluid must be above the other. Surprisingly, even without capillarity, the circle-shaped bubble is a steady state solution moving with vertical constant velocity determined by the density jump between the fluids. Taking advantage of our discovery of this steady state, we are able to prove global in time existence and uniqueness of dynamic bubbles of nearly circular shapes under the influence of surface tension. We prove this global existence result for low regularity initial data. Moreover, we prove that these solutions are instantly analytic and decay exponentially fast in time to the circle.
Global Regularity for Gravity Unstable Muskat Bubbles (Memoirs of the American Mathematical Society)
Gancedo, Francisco; Garcia-juarez, Eduardo; Patel, Neel; Strain, Robert M.
- Softcover
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Global Regularity for Gravity Unstable Muskat Bubbles: Volume: 292 Number: 1455 (Memoirs of the American Mathematical Society)
Gancedo, Francisco/ Garcia-Juarez, Eduardo/ Patel, Neel/ Strain, Robert M.
- Softcover
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Paperback. Zustand: Brand New. 87 pages. In Stock.
Global Regularity for Gravity Unstable Muskat Bubbles (Memoirs of the American Mathematical Society, 292)
Gancedo, Francisco; Garcia-juarez, Eduardo; Patel, Neel; Strain, Robert M.
- Softcover
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Global Regularity for Gravity Unstable Muskat Bubbles (Memoirs of the American Mathematical Society)
Gancedo, Francisco; Garcia-juarez, Eduardo; Patel, Neel; Strain, Robert M.
- Softcover
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Global Regularity for Gravity Unstable Muskat Bubbles
Francisco Gancedo, Eduardo Garcia-Juarez, Neel Patel, Robert M. Strain
- Softcover
Anbieter: Rarewaves.com UK, London, Vereinigtes KönigreichRarewaves.com UK
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EUR 75,97 VersandVersand von Vereinigtes Königreich nach USAAnzahl: 3 verfügbar
Paperback. Zustand: New. In this paper, we study the dynamics of fluids in porous media governed by Darcy's law: the Muskat problem. We consider the setting of two immiscible fluids of different densities and viscosities under the influence of gravity in which one fluid is completely surrounded by the other. This setting is grav…ity unstable because along a portion of the interface, the denser fluid must be above the other. Surprisingly, even without capillarity, the circle-shaped bubble is a steady state solution moving with vertical constant velocity determined by the density jump between the fluids. Taking advantage of our discovery of this steady state, we are able to prove global in time existence and uniqueness of dynamic bubbles of nearly circular shapes under the influence of surface tension. We prove this global existence result for low regularity initial data. Moreover, we prove that these solutions are instantly analytic and decay exponentially fast in time to the circle.
