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Atmospheric Dynamics

The Experts below are selected from a list of 8238 Experts worldwide ranked by ideXlab platform

Edriss S. Titi – 1st expert on this subject based on the ideXlab platform

  • Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities
    Siam Journal on Mathematical Analysis, 2020
    Co-Authors: Edriss S. Titi

    Abstract:

    We show the existence of global weak solutions to the three-dimensional compressible primitive equations of Atmospheric Dynamics with degenerate viscosities. In analogy with the case of the compres…

  • Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities
    arXiv: Analysis of PDEs, 2018
    Co-Authors: Edriss S. Titi

    Abstract:

    We show the existence of global weak solutions to the three-dimensional compressible primitive equations of Atmospheric Dynamics with degenerate viscosities. In analogy with the case of the compressible Navier-Stokes equations, the weak solutions satisfy the basic energy inequality, the Bresh-Desjardins entropy inequality and the Mellet-Vasseur estimate. These estimates play an important role in establishing the compactness of the vertical velocity of the approximating solutions, and therefore are essential to recover the vertical velocity in the weak solutions.

  • Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics
    Communications in Mathematical Physics, 2015
    Co-Authors: Slim Ibrahim, Kenji Nakanishi, Edriss S. Titi

    Abstract:

    In an earlier work we have shown the global (for all initial data and all time) well-posedness of strong solutions to the three-dimensional viscous primitive equations of large scale oceanic and Atmospheric Dynamics. In this paper we show that for certain class of initial data the corresponding smooth solutions of the inviscid (non-viscous) primitive equations, if they exist, they blow up in finite time. Specifically, we consider the three-dimensional inviscid primitive equations in a three-dimensional infinite horizontal channel, subject to periodic boundary conditions in the horizontal directions, and with no-normal flow boundary conditions on the solid, top and bottom boundaries. For certain class of initial data we reduce this system into the two-dimensional system of primitive equations in an infinite horizontal strip with the same type of boundary conditions; and then we show that for specific sub-class of initial data the corresponding smooth solutions of the reduced inviscid two-dimensional system develop singularities in finite time.

Christophe Cassou – 2nd expert on this subject based on the ideXlab platform

  • Inconsistency between Atmospheric Dynamics and temperatures during the exceptional 2006/2007 fall/winter and recent warming in Europe
    Geophysical Research Letters, 2007
    Co-Authors: Pascal Yiou, Robert Vautard, Philippe Naveau, Christophe Cassou

    Abstract:

    [1] Europe witnessed unprecedented warmth persisting throughout fall and winter 2006–2007, with only a few cold breaks. Whether this anomaly and recent warming in Europe can be linked to changes in Atmospheric Dynamics is a key question in the climate change prospective. We show that despite the fall/winter Atmospheric flow was favorable to warmth, it cannot explain alone such an exceptional anomaly. Observed temperatures remained well above those found for analogue Atmospheric circulations in other fall and winter seasons. Such an offset is also found during the last decade and culminates in 2006/2007. These observational results suggest that the main drivers of recent European warming are not changes in regional Atmospheric flow and weather regimes frequencies, contrasting with observed changes before 1994.

  • inconsistency between Atmospheric Dynamics and temperatures during the exceptional 2006 2007 fall winter and recent warming in europe
    Geophysical Research Letters, 2007
    Co-Authors: Pascal Yiou, Robert Vautard, Philippe Naveau, Christophe Cassou

    Abstract:

    [1] Europe witnessed unprecedented warmth persisting throughout fall and winter 2006–2007, with only a few cold breaks. Whether this anomaly and recent warming in Europe can be linked to changes in Atmospheric Dynamics is a key question in the climate change prospective. We show that despite the fall/winter Atmospheric flow was favorable to warmth, it cannot explain alone such an exceptional anomaly. Observed temperatures remained well above those found for analogue Atmospheric circulations in other fall and winter seasons. Such an offset is also found during the last decade and culminates in 2006/2007. These observational results suggest that the main drivers of recent European warming are not changes in regional Atmospheric flow and weather regimes frequencies, contrasting with observed changes before 1994.

Slim Ibrahim – 3rd expert on this subject based on the ideXlab platform

  • Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics
    Communications in Mathematical Physics, 2015
    Co-Authors: Slim Ibrahim, Kenji Nakanishi, Edriss S. Titi

    Abstract:

    In an earlier work we have shown the global (for all initial data and all time) well-posedness of strong solutions to the three-dimensional viscous primitive equations of large scale oceanic and Atmospheric Dynamics. In this paper we show that for certain class of initial data the corresponding smooth solutions of the inviscid (non-viscous) primitive equations, if they exist, they blow up in finite time. Specifically, we consider the three-dimensional inviscid primitive equations in a three-dimensional infinite horizontal channel, subject to periodic boundary conditions in the horizontal directions, and with no-normal flow boundary conditions on the solid, top and bottom boundaries. For certain class of initial data we reduce this system into the two-dimensional system of primitive equations in an infinite horizontal strip with the same type of boundary conditions; and then we show that for specific sub-class of initial data the corresponding smooth solutions of the reduced inviscid two-dimensional system develop singularities in finite time.

  • finite time blowup for the inviscid primitive equations of oceanic and Atmospheric Dynamics
    arXiv: Analysis of PDEs, 2012
    Co-Authors: Slim Ibrahim, Kenji Nakanishi, Edriss S. Titi

    Abstract:

    In an earlier work we have shown the global (for all initial data and all time) well-posedness of strong solutions to the three-dimensional viscous primitive equations of large scale oceanic and Atmospheric Dynamics. In this paper we show that for certain class of initial data the corresponding smooth solutions of the inviscid (non-viscous) primitive equations blow up in finite time. Specifically, we consider the three-dimensional inviscid primitive equations in a three-dimensional infinite horizontal channel, subject to periodic boundary conditions in the horizontal directions, and with no-normal flow boundary conditions on the solid, top and bottom, boundaries. For certain class of initial data we reduce this system into the two-dimensional system of primitive equations in an infinite horizontal strip with the same type of boundary conditions; and then show that for specific sub-class of initial data the corresponding smooth solutions of the reduced inviscid two-dimensional system develop singularities in finite time.