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The distinction between the various discharge phenomena seems to vary between authors
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The distinction between the various discharge phenomena seems to vary between authors.
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7
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See also P.A. Vitello, B.M. Penetrante, and J.N. Bardsley, in Non-Thermal Plasma Techniques for Pollution Control, edited by B.M. Penetrante and S.E. Schultheis (Springer, Heidelberg, 1993)
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SIAM, Philadelphia, and
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J D. Buckmaster and G.S.S. Ludford, Theory of Laminar Flames (Cambridge University Press, Cambridge, 1982), or J.D. Buckmaster and G.S.S. Ludford, Lectures on Mathematical Combustion (SIAM, Philadelphia, 1983);
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0020779215
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a nice elementary account of several of the essential ingredients of flame fronts and their instabilities can be found in J
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a nice elementary account of several of the essential ingredients of flame fronts and their instabilities can be found in J.D. Buckmaster, Physica12D, 173 (1984).
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and Y. Pomeau and M. Ben Amar, in Solids far from Equilibrium, edited by C. Godreche (Cambridge University Press, Cambridge, 1992).
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M.I. D'yakonov and V Y. Kachorovskii, Zh. Éksp. Teor. Fiz.95, 1850 (1989) [Sov. Phys. JETP 68, 1070 (1989)]. We have been informed (V. Shumeiko, private communication with W. Van Saarloos), that D'yakonov has also pointed out in a talk the strong similarity between streamers and other problems of pattern formation such as dendrites.
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One should be aware that it is possible that the state generated by the front is actually unstable or metastable. In such cases the front is usually followed by a second front invading the unstable or metastable state. See, e.g. and F.J. Elmer, J. Burns, and H. Suhl, Europhys. Lett., 399 (1993)
-
One should be aware that it is possible that the state generated by the front is actually unstable or metastable. In such cases the front is usually followed by a second front invading the unstable or metastable state. See, e.g., K. Nozaki and N. Bekki, Phys. Rev. Lett.51, 2171 (1983), and F.J. Elmer, J. Burns, and H. Suhl, Europhys. Lett. 22 399 (1993).
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This is argued in Appendix A of 22: For equations like ours that admit uniformly translating front solutions, one generally expects a one-parameter family of front solutions, a feature well known for the case of the nonlinear diffusion equation discussed briefly in Sec. V. For pattern forming fronts propagating into an unstable state, one typically has a two parameter family of fronts — see, e.g., 24 or, and J. although a general proof is lacking
-
This is argued in Appendix A of 22: For equations like ours that admit uniformly translating front solutions, one generally expects a one-parameter family of front solutions, a feature well known for the case of the nonlinear diffusion equation discussed briefly in Sec. V. For pattern forming fronts propagating into an unstable state, one typically has a two parameter family of fronts — see, e.g., 24 or P. Collet and J.-P. Eckmann, Commun. Math. Phys.107, 39 (1986), although a general proof is lacking.
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