Analytic structure of two 1D-transport equations with nonlocal fluxes
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[1] Y. Kaneda,et al. Spontaneous Singularity Formation in the Shape of Vortex Sheet in Three-Dimensional Flow , 1994 .
[2] U. Frisch,et al. Intermittency in nonlinear dynamics and singularities at complex times , 1981 .
[3] Linearization of novel nonlinear diffusion equations with the Hilbert kernel and their exact solutions , 1991 .
[4] R. Krasny. A study of singularity formation in a vortex sheet by the point-vortex approximation , 1986, Journal of Fluid Mechanics.
[5] S. Schochet. Explicit solutions of the viscous model vorticity equation , 1986 .
[6] Russel E. Caflisch,et al. Singular solutions and ill-posedness for the evolution of vortex sheets , 1989 .
[7] J. Fournier,et al. Complex Singularities and the Riemann Surface for the Burgers Equation , 1990 .
[8] M. Shelley,et al. On the connection between thin vortex layers and vortex sheets , 1990, Journal of Fluid Mechanics.
[9] Michael Shelley,et al. A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method , 1992, Journal of Fluid Mechanics.
[10] Michael Siegel,et al. Singularity formation during Rayleigh–Taylor instability , 1993, Journal of Fluid Mechanics.
[11] Steven A. Orszag,et al. Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability , 1982, Journal of Fluid Mechanics.
[12] Russel E. Caflisch,et al. Singularity formation for complex solutions of the 3D incompressible Euler equations , 1993 .
[13] M. Dhanak. Equation of motion of a diffusing vortex sheet , 1994, Journal of Fluid Mechanics.
[14] Singularities in nonlocal interface dynamics , 1984 .
[15] Catherine Sulem,et al. Tracing complex singularities with spectral methods , 1983 .
[16] G. Whitham,et al. Linear and Nonlinear Waves , 1976 .
[17] T. Hou,et al. Removing the stiffness from interfacial flows with surface tension , 1994 .
[18] Andrew J. Majda,et al. A simple one-dimensional model for the three-dimensional vorticity equation , 1985 .
[19] E. Stein. Singular Integrals and Di?erentiability Properties of Functions , 1971 .
[20] Jeffrey S. Ely,et al. High-precision calculations of vortex sheet motion , 1994 .
[21] F. Smithies,et al. Singular Integral Equations , 1955, The Mathematical Gazette.