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The paper is a comprehensive study of the existence, uniqueness, blow up and regularity properties of solutions of the Burgers equation with fractional dissipation.
A.R. Forsyth, Theory of Differential Equations,
1906
Earlier work this paper cites.
H. Beteman, Some recent researches of the motion of fluid,
1915
Earlier work this paper cites.
W. Feller, Introduction to Probability Theory and Its Applications,
1971
Earlier work this paper cites.
P. Constantin and C. Foias, Navier-Stokes Equations,
1989
Earlier work this paper cites.
P. Constantin, A. Majda and E. Tabak, Formation of strong fronts in the 2D quasi-geostrophic thermal active scalar,
1994
Earlier work this paper cites.
S. Resnick, Dynamical problems in nonlinear advective partial differential equations,
1995
Earlier work this paper cites.
M. Taylor, Partial Differential Equations III: Nonlinear Equations,
1997
Cited alongside, same era.
D. Cordoba, Nonexistence of simple hyperbolic blow up for the quasi-geostrophic equation,
1998
Cited alongside, same era.
P. Constantin, D. Cordoba and J. Wu, On the critical dissipative quasi-geostrophic equation,
2001
Cited alongside, same era.
A. Bertozzi and A. Majda, Vorticity and Incompressible Flow,
2002
Cited alongside, same era.
N. Katz and N. Pavlović, A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation,
2002
Cited alongside, same era.
N. Alibaud, J. Droniou and J. Vovelle, Occurence and non-appearance of shocks in fractal Burgers equations,
J. Wu, The quasi-geostrophic equation and its two regularizations,
2002
Later among the works it cites.
A. Cordoba and D. Cordoba, A pointwise estimate for fractionary derivatives with applications to partial differential equations,
2003
Later among the works it cites.
A. Cordoba and D. Cordoba, A maximum principle applied to quasi-geostrophic equations,
2004
Later among the works it cites.
A. Kiselev, F. Nazarov and A. Volberg, Global well-posedness for the critical 2 D 2D dissipative quasi-geostrophic equation,
2007
Later among the works it cites.
M. Matalon, Intrinsic flame instabilities in premixed and non-premixed combustion,
2007
Later among the works it cites.
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L. Caffarelli, A. Vasseur, Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation,
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