Magdalena Maria Musielak - Publications - Bridge of Knowledge

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Year 2021
Year 2011
  • Numerical Characterization of Thresholds for the Focusing 1d Nonlinear Schrödinger Equation
    Publication

    - Year 2011

    The focusing nonlinear Schrödinger equation arises in various physical phenomena and it is therefore of interest to determine mathematical conditions on the initial data that guarantee whether the corresponding solution will blow up in finite time or exist globally in time. We focus on solutions to the mass‐supercritical nonlinear Schrödinger equation (1) in 1D case. In particular, we investigate numerical thresholds between blow...

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Year 2009
  • Nutrient transport and acquisition by diatom chains in a moving fluid
    Publication

    - JOURNAL OF FLUID MECHANICS - Year 2009

    The role of fluid motion in delivery of nutrients to phytoplankton cells is a fundamental question in biological and chemical oceanography. In the study of mass transfer to phytoplankton, diatoms are of particular interest. They are non-motile, are often the most abundant components in aggregates and often form chains, so they are the ones expected to benefit most from enhancement of nutrient flux due to dissipating turbulence....

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