TY - BOOK AU - Doelman,A. TI - The dynamics of modulated wave trains T2 - Memoirs of the American Mathematical Society, SN - 9781470405403 (online) AV - QA377 .D86 2009 U1 - 515/.3534 22 PY - 2009/// CY - Providence, R.I. PB - American Mathematical Society KW - Reaction-diffusion equations KW - Approximation theory KW - Burgers equation N1 - "Volume 199, number 934 (fifth of 6 numbers)."; "May 2009."; Includes bibliographical references (p. 103-105); Chapter 1. Introduction; Chapter 2. The Burgers equation; Chapter 3. The complex cubic Ginzburg-Landau equation; Chapter 4. Reaction-diffusion equations: Set-up and results; Chapter 5. Validity of the Burgers equation in reaction-diffusion equations; Chapter 6. Validity of the inviscid Burgers equation in reaction-diffusion systems; Chapter 7. Modulations of wave trains near sideband instabilities; Chapter 8. Existence and stability of weak shocks; Chapter 9. Existence of shocks in the long-wavelength limit; Chapter 10. Applications; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0934 UR - http://dx.doi.org/10.1090/memo/0934 ER -