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LIST OF PUBLICATIONS
65.  "Speed of spreading fronts of the reaction diffusion equation with Stefan boundary conditions" Benguria R. D. and Depassier M. C. arxiv:1910.11695
64. "On the speed of domain walls in thin nanotubes: the transition from the Walker to the magnonic regime" Depassier, M. C. Phys. Rev. B 100, 144402 (2019)
63.  "Domain wall dynamics for an in-plane magnetized thin film with large perpendicular hard axis anisotropy including Dzyaloshinskii-Moriya interaction" Cárdenas, E. A. and   Depassier, M. C.   Phys. Rev. B 98, 134429 (2018)
62. "Variational characterization of the speed of reaction diffusion fronts for gradient dependent diffusion" Benguria,  R. D. and Depassier, M. C. Ann. Henri Poincaré  19, 2717-2726 (2018)
61. "Monotonicity of the period of a non linear oscillator" Benguria, R. D. , Depassier, M. C. and Loss, M. Nonlinear Analysis TMA, 140, 61 (2016)
60. "Reaction diffusion dynamics and the Schryer-Walker solution for domain walls of the Landau-Lifshitz-Gilbert equation" Benguria, R. D.  and Depassier, M. C. Phys. Rev. B 93, 144416 (2016)
59. "Speed of field driven domain walls in nanowires with large transverse magnetic anisotropy" EPL 111, 27005 (2015) Depassier, M. C.
58. "Shift in the speed of reaction--diffusion equation with a cut-off: pushed and bistable fronts" Physica D 280,  38-43  (2014). Benguria R. , Depassier  M. C.
57.  "Comment on ''Domain wall motion in thin ferromagnetic nanotubes: Analytic results'' by Goussev Arseni et al. EPL (Europhysics Letters) 108,   37008 (2014) Depassier , M. C.
56.  "Rigorous results for the minimal speed of Kolmogorov--Petrovskii--Piscounov monotonic fronts with a cutoff''  J. Math. Phys. 53, 123705 (2012) Benguria R. , Depassier  M. C. and Loss M.
55. "Fifth order evolution equation for dissipative solitons" Phys. Lett. A  376, 452--456 (2012) Depassier M. C. and Letelier J. A.
54.  "Analytic upper and lower bounds for the period of nonlinear oscillators" J. Sound. Vib. 328, 338--344 (2009) Depassier M. C. and Haikala V.
53. "Upper and lower bounds for the speed of pulled fronts with a cutoff''  European Physical Journal B, {\bf 61}, 331 (2008) Benguria R. , Depassier  M. C. and Loss M.
52. "Speed of pulled fronts with a cutoff" Phys. Rev. E 75, 051106 (2007) Benguria R. , Depassier  M. C.
51. "The effect of a cutoff on pushed and bistable fronts of the reaction diffusion equation" Phys. Rev. E 76, 051101 (2007)  Benguria R. D., Depassier  M. C. and  Haikala  V.
50. "Evolution equation for bidirectional surface waves in a convecting fluid" Phys. Fluids 18, 107102 (2006) Depassier M. C.
49. "On the principal bifurcation branch of a third-order nonlinear long-wave equation" J. Phys. A: Math. Gen. 38, 2043 (2005) Benguria  R.D.  and Depassier M. C.
48. "On the transition from pulled to pushed monotonic fronts of the extended Fisher-Kolmogorov equation" Physica A  356,  61-65 (2005) Benguria  R.D. , and Depassier M. C. ,
47. "Variational Principles for the Speed of Traveling Fronts of Reaction-Diffusion Equations" in Variational and Extremum Principles in Macroscopic Systems, S. Sieniutycz and H. Farkas  eds., Elsevier Science, 339-352 (2005) Benguria R.D., and  Depassier M. C.
46. "Minimal speed of fronts of reaction-convection-diffusion equations" Physical Review E 69,  031106 (2004) Benguria R. D. , Depassier M. C. , and  Mendez V. Incluido en  Virtual Journal of Biological Physics Research.
45. "Variational Calculation of the Period of Nonlinear  Oscillators" Journal of Statistical Physics 116, 923 (2004) Benguria R. D. , and Depassier M. C.
44. "Linear and nonlinear marginal stability for fronts of hyperbolic reaction diffusion equations" Physical Review E 66, 026607 (2002) Benguria R. D. and Depassier M. C. Incluido en  Virtual Journal of Biological Physics Research.
43. "Kleiber and Planck: The missing link? Response Science  298,  60 (2002) Marquet P. A. and  Depassier M. C.,
42. "Bounds for Nonlinear Eigenvalue Problems", Electronic Journal of  Differential Equations Eds. R. Manasevich and  P. Rabinowitz. C06 pg  23, (2001) Benguria R. D. and Depassier M. C.,
41.  "Variational approach to a class of nonlinear oscilators with several limit cycles" Phys. Rev. E  64,  056217 (2001) Depassier M. C.  and Mura J.
40.  "Variational Principle for the Limit Cycle of Rayleigh's Equation"  in Differential Equations and Mathematical Physics,  Eds. R. Weikard and G. Weinstein, International Press, Providence, R.I., 2000 Benguria R. D. and Depassier M. C.
39.  "A reversed Poincare inequality for monotone functions '' Journal of Inequalities and Applications  5, 91  (2000) Benguria R. D. and Depassier M. C.
38. "Variational principle for limit cycles of the Rayleigh - van der Pol equation" Physical Review E  59, 4889 (1999) Benguria R. D. and Depassier M. C.
37. "Phase space derivation of a variational principle for one dimensional Hamiltonian systems'' Physics Letters A 240, 144 (1998) Benguria R. D. and Depassier M. C.
36. "Speed of fronts of generalized reaction--diffusion equations'' Physical Review E 57, 6493 (1998) Benguria R. D. and Depassier M. C.
35. "A Variational Method for Nonlinear Eigenvalue Problems'' in Advances in Differential Equations and Mathematical Physics,   E. Carlen, E. Harrell and M. Loss, Eds.,  Contemporary Mathematics 217, 1 (1998) Benguria R. D. and Depassier M. C.
34. "Counterexample to a conjecture of Goriely for the speed of fronts of the reaction--diffusion equation''  Physical Review E 55, 3701 (1997) Cisternas, J. and Depassier, M. C.
33.  "Long Wavelength Oscillatory Instability in Binary Fluids" in Instabilities and Nonequilibrium Structures V, pg. 75 Eds. E. Tirapegui and W. Zeller, Kluwer Academic Publishers 1996. Clune, T., Depassier, M. C. and Knobloch, E. A.
32. , "Monotonic Fronts of the Reaction-Diffusion Equation in One Space Dimension'' in Instabilities and Nonequilibrium Structures V, pg. 105 Eds. E. Tirapegui and W. Zeller, Kluwer Academic Publishers 1996 Benguria R. and Depassier, M. C.
31.  "Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation''  Communications in Mathematical Physics 175, 221 (1996) Benguria R. D. and Depassier M. C.
30. "Speed of fronts of the reaction-diffusion equation'' Physical Review Letters 77, 1171 (1996) Benguria R. D. and Depassier M. C.
29. "A variational principle for eigenvalue problems of Hamiltonian systems'' Physical Review Letters 77, 2847 (1996). Benguria R. D. and Depassier M. C.,
28. "A variational principle or the asymptotic speed of fronts of the density dependent diffusion--reaction equation''  Physical Review E  52, 3285 (1995)} Benguria R. D. and Depassier M. C.
27. "Variational calculations for thermal combustion waves'' Physical Review E 52, 4410 (1995)} Benguria, R. D., Cisternas, J. and Depassier, M. C.
26. "Monotonic Fronts in Phase Space" en Differential Equations and Mathematical Physics: Proceed. of the UAB-GIT Int. Conf. in Mathematical Physics and Differential Equations, pg.28, Eds. I. Knowles and.  Saito, International Press, Cambridge, Mass. 1995. Benguria R. and Depassier  M. C.
25. "A five-mode bifurcation analysis of a Kuramoto-Sivashinsky equation with dispersion", Physics Letters A 184, 184--189 (1994). Alfaro C. M and Depassier M. C.
24. "On the existence of monotonic fronts for a class of physical problems described by the equation $\lambda w''' + w' = f(w)$ Journal of  Physics A 27, 1339 (1994) Benguria R. D. and Depassier M. C.
23. "Validity of the linear speed selection mechanism for fronts of the nonlinear diffusion equation'' Physical Review Letters 73, 2272 (1994) Benguria R. D. and Depassier M. C.
22. "Exact front solutions for the nonlinear diffusion equation with quintic nonlinearities'' Physical Review E  50, 3701 (1994) Benguria R. D. and Depassier M. C.
21. "The role of dispersion in the generalized Kuramoto--Sivashinsky equation" in Instabilities and Nonequilibrium Structures IV, pg. 281--287 Eds. E. Tirapegui and W. Zeller Kluwer Academic Publishers 1993. Alfaro C. M., Benguria R. D.  and Depassier M. C.
20. "Three mode truncation of a model equation for systems with long wavelength oscillatory instability" Physical Review A 45, 5566 (1992) Benguria R. D. and Depassier M. C.
19. "Finite mode analysis of the generalized Kuramoto-Sivashinsky equation" Physica D  61, 1 (1992) Alfaro C. M., Benguria R. D. and Depassier M. C.
18. "Shallow surface waves in a convecting fluid" in Instabilities and Nonequilibrium Structures III, pg. 301--305 Eds. E. Tirapegui and W. Zeller Kluwer Academic Publishers 1991. Alfaro C. M., Aspe H. and Depassier M. C.,
17. "The evolution equation of surface waves in a convecting fluids''  Physical Review A 41, 3125 (1990) Aspe H. and Depassier, M. C.
16. "Solitary waves in a shallow viscous fluid sustained by an adverse temperature gradient" Physical  Review Letters  62, 2597 (1989) Alfaro C. M. and Depassier M. C.,
15. "On the linear stability theory of Benard-Marangoni Convection"  Physics of Fluids A 1, 1123 (1989) Benguria R. D. and Depassier M. C.
14.  "Equations of the Korteweg-de Vries type with nontrivial conserved quantities"  Journal of Physics A 22, 4135 (1989) Benguria R. D. and Depassier M. C.
13.  "Oscillatory instability in Benard-Marangoni convection", in Instabilities and Nonlinear Structures II: Dynamical Systems and Instabilities, (E. Tirapegui and D. Villaroel, Eds.), Mathematics and Its Applications {\bf 50}, pp. 221-225, Kluwer Ac. Pub. (Dordrecht) 1989. Benguria R. D. and Depassier M. C.
12. "Oscillatory instabilities in the Rayleigh-Benard problem with a free surface"  Physics of Fluids 30, 1678 (1987) Benguria R. D. and Depassier M. C.
11. "Inverse moments equilibria for helical anisotropic systems" Physics of Fluids 30, 3532 (1987) Cooper W. A., Hirshman S. P. and Depassier M. C.
10. "Inverse moments MHD equilibria from generalized energy principle minimization", Spring College on Plasma Physics, International Center for Theoretical Physics, Trieste (1987). Cooper W. A., Hirshman S. P. and Depassier M. C.
9.  "Generalized energy principle minimization applied to MHD equilibria with helical symmetry"  XIV European Conference on Controlled Fusion and Plasma Physics, Eds. F. Engelmann and J. L. Alvarez Rivas, pg.369 (1987). Depassier M. C., Cooper W. A. and Hirshman S. P.
8. "Helical axis stellarator equilibrium and resistive balloning" Physics of Fluids 29, 1948 (1986) Depassier M. C. and Cooper W. A.
7.  "Resistive ballooning modes in helical axis stellarators with longitudinal mass flow"  Physics of Fluids  29, 4112 (1986) Cooper W. A. and Depassier M. C.
6. "Resistive ballooning modes in helical axis stellarators" Physical Review A 32, 3124 (1985) Cooper W. A. and Depassier M. C.
5. "A note on the free boundary condition in Rayleigh-Benard convection between insulating boundaries" Physics Letters A 102, 359 (1984) Depassier M. C.
4. "Upper and lower bounds for eigenvalues of nonlinear elliptic equations I: The lowest eigenvalue" Journal of Mathematical Physics 24, 501 (1983) Benguria R. D. and Depassier M. C.
3. "Convection with heat flux prescribed on the boundaries of the system: I. The effect of temperature dependent material properties", Geophysical and Astrophysical Fluid Dynamics 21, 167 (1982) Depassier M. C. and Spiegel E. A.
2. "The large scale structure of compressible convection" The Astronomical Journal 86 496 (1981) Depassier M. C. and Spiegel E. A.
1. "Convection with temperature dependent material properties", Woods Hole Oceanographic Institution Report WHOI-80-53 pg 165 (1980) Depassier M. C.

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