AUB ScholarWorks

Browsing Department of Mathematics by Title

Browsing Department of Mathematics by Title

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  • Weighted restriction estimates using polynomial partitioning 
    Shayya, Bassam (John Wiley and Sons Ltd., 2017)
    We use the polynomial partitioning method of Guth [J. Amer. Math. Soc. 29 (2016) 371-413] to prove weighted Fourier restriction estimates in r3 with exponents p that range between 3 and 3.25, depending on the weight. As a ...
  • Well-balanced central schemes for two-dimensional systems of shallow water equations with wet and dry states 
    Touma, Rony; Kanbar, Farah (Elsevier Inc., 2018)
    The aim of this paper is to develop a new second-order accurate central scheme for the numerical solution of the two-dimensional system of shallow water equations (SWE) featuring wet and dry states over variable waterbeds. ...
  • Yang-Mills as a constrained Gaussian 
    Tlas, Tamer (International Press, Inc., 2023)
    Yang-Mills is reformulated in terms of the logarithmic derivative of the holonomies. The classical equations of motion are recovered, and the path integral is rewritten in two ways, both of which are of the form of a ...

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