The change in electric potential due to lightning
William W. Hager; Beyza Caliskan Aslan
ESAIM: Mathematical Modelling and Numerical Analysis (2008)
- Volume: 42, Issue: 5, page 887-901
- ISSN: 0764-583X
Access Full Article
topAbstract
topHow to cite
topReferences
top- R.A. Adams, Sobolev Spaces. Academic Press, New York (1975).
- B.C. Aslan, W.W. Hager and S. Moskow, A generalized eigenproblem for the Laplacian which arises in lightning. J. Math. Anal. Appl.341 (2008) 1028–1041.
- R.F. Curtain and H. Zwart, An Introduction to Infinite-Dimensional Linear Systems Theory. Springer-Verlag, New York (1995).
- W.W. Hager, A discrete model for the lightning discharge. J. Comput. Phys.144 (1998) 137–150.
- W.W. Hager, J.S. Nisbet and J.R. Kasha, The evolution and discharge of electric fields within a thunderstorm. J. Comput. Phys.82 (1989) 193–217.
- W.W. Hager, J.S. Nisbet, J.R. Kasha and W.-C. Shann, Simulations of electric fields within a thunderstorm. J. Atmos. Sci.46 (1989) 3542–3558.
- W.W. Hager, R.G. Sonnenfeld, B.C. Aslan, G. Lu, W.P. Winn and W.L. Boeck, Analysis of charge transport during lightning using balloon borne electric field sensors and LMA. J. Geophys. Res.112 (2007) DOI: . DOI10.1029/2006JD008187
- C.L. Lennon, LDAR: new lightning detection and ranging system. EOS Trans. AGU56 (1975) 991.
- L. Maier, C. Lennon, T. Britt and S. Schaefer, LDAR system performance and analysis, in The 6th conference on aviation weather systems, American Meteorological Society, Boston, MA (1995).
- T.C. Marshall and M. Stolzenburg, Voltages inside and just above thunderstorms. J. Geophys. Res.106 (2001) 4757–4768.
- B.N. Parlett, The Symmetric Eigenvalue Problem. Prentice-Hall, Englewood Cliffs, NJ (1980).
- D.E. Proctor, A hyperbolic system for obtaining VHF radio pictures of lightning. J. Geophys. Res.76 (1971) 1478–1489.
- D.E. Proctor, VHF radio pictures of cloud flashes. J. Geophys. Res.86 (1981) 4041–4071.
- V.A. Rakov and M.A. Uman, Lightning Physics and Effects. Cambridge University Press, Cambridge (2003).
- W. Rison, R.J. Thomas, P.R. Krehbiel, T. Hamlin and J. Harlin, A GPS-based three-dimensional lightning mapping system: Initial observations in central New Mexico. Geophys. Res. Lett.26 (1999) 3573–3576.
- G. Strang, Linear Algebra and Its Applications. Thomson, Belmont, CA, 4th edn. (2006).
- R.J. Thomas, P.R. Krehbiel, W. Rison, T. Hamlin, J. Harlin and D. Shown, Observations of VHF source powers radiated by lightning. Geophys. Res. Lett.28 (2001) 143–146.
- R.J. Thomas, P.R. Krehbiel, W. Rison, S.J. Hunyady, W.P. Winn, T. Hamlin and J. Harlin, Accuracy of the lightning mapping array. J. Geophys. Res.109 (2004) D14207.