9 citations · 30 across the 19 of their papers we have counts for
19 papers
Modeling of point charges with distributions, regularizations, and generalized functions
Guenther Hoermann, Nathalie Tassotti
We apply regularization and generalized function techniques to the classical electromagnetic field of a point-charge, following a strategy by the physicist A. Gsponer 2007-2009, th…
Dirac and normal states on Weyl-von Neumann algebras
Guenther Hoermann
We study particular classes of states on the Weyl algebra associated with a symplectic vector space and on the von Neumann algebras generated in representations o…
Solution concepts, well-posedness, and wave breaking for the Fornberg-Whitham equation
Guenther Hoermann
We discuss concepts and review results about the Cauchy problem for the Fornberg-Whitham equation, which has also been called Burgers-Poisson equation in the literature. Our focus…
Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation
Guenther Hoermann, Hisashi Okamoto
Spatially periodic solutions of the Fornberg-Whitham equation are studied to illustrate the mechanism of wave breaking and the formation of shocks for a large class of initial data…
Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation
Guenther Hoermann
We analyze the weak solution concept for the Fornberg-Whitham equation in case of traveling waves with a piecewise smooth profile function. The existence of discontinuous weak trav…
Wave breaking of periodic solutions to the Fornberg-Whitham equation
Guenther Hoermann
Based on recent well-posedness results in Sobolev (or Besov spaces) for periodic solutions to the Fornberg-Whitham equations we investigate here the questions of wave breaking and…