References
- Anderson , JD Jr . 2005 . Ludwig Prandtl's Boundary Layer . Phys. Today , December : 42 – 48 .
- Friedrichs , KO and Wasow , WR . 1946 . Singular perturbations of non-linear oscillations . Duke Math. J. , 13 : 367 – 381 .
- Cardinali , A , Matte , JP , Shoucri , M and Spigler , R . 2004 . Numerical study of plasma-wall transition using an Eulerian Vlasov code . Eur. Phys. J. D , 30 : 81 – 92 .
- Akhmetov , DR , Lavrentiev , MM Jr and Spigler , R . 2003 . Singular perturbations for certain partial differential equations without boundary-layer . Asymptot. Anal. , 35 ( 1 ) : 65 – 89 .
- Akhmetov , DR , Lavrentiev , MM Jr and Spigler , R . 2004 . Singular perturbations for parabolic equations with unbounded coefficients leading to ultraparabolic equations . Diff. Integral Equ. , 17 ( 1–2 ) : 99 – 118 .
- Akhmetov , DR and Spigler , R . 2007 . Uniform and optimal estimates for solutions to singularly perturbed parabolic equations . J. Evol. Equ. , 7 : 347 – 372 .
- Akhmetov , DR and Spigler , R . 2006 . Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data . J. Diff. Equ. , 230 ( 1 ) : 86 – 127 .
- Akhmetov , DR and Spigler , R . 2007 . L 1-estimates for the higher-order derivatives of solutions to parabolic equations subject to initial values of bounded total variation . Commun. Pure Appl. Anal. , 6 ( 4 ) : 1051 – 1074 .
- Acebrón , JA , Bonilla , LL , Pérez Vicente , CJ , Ritort , F and Spigler , R . 2005 . The Kuramoto model: A simple paradigm for synchronization phenomena . Rev. Mod. Phys. , 77 : 137 – 185 .
- Akhmetov , DR , Lavrentiev , MM Jr and Spigler , R . 2002 . Existence and uniqueness of classical solutions to certain nonlinear integrodifferential Fokker-Planck-type equations . Electron. J. Diff. Equ. , 24 : 1 – 17 .
- Lavrentiev , MM Jr , Spigler , R and Akhmetov , DR . 2001 . Nonlinear integroparabolic equations on unbounded domains: Existence of classical solutions with special properties . Siberian Math. J. , 42 : 495 – 516 .
- Lavrentiev , MM Jr , Spigler , R and Akhmetov , DR . 2001 . Regularizing a nonlinear integroparabolic Fokker-Planck equation with space-periodic solutions: Existence of strong solutions . Sib. Math. J. , 42 : 693 – 714 .
- Lavrentiev , MM Jr and Spigler , R . 2000 . Existence and uniqueness of solutions to the Kuramoto-Sakaguchi parabolic integrodifferential equation . Diff. Integral Equ. , 13 : 649 – 667 .
- Acebrón , JA and Spigler , R . 1998 . Adaptive frequency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators . Phys. Rev. Lett. , 81 : 2229 – 2232 .