Select your language: English | Español |

Publications

The preprint versions of some articles are marked with a [PRE] link or with [ARXV] for the arxiv.org version. The Digital Object Identifier links are marked as [DOI]. The [PDF] link takes you to the published version of the article. Use the menu on the right to navigate through.

Works in Preparation

  1. C. García-Reimbert, M. Romero, R.G. Plaza, Nonlinear stability of stationary states in a model for tumor-induced antiangiogenesis.


Submitted Preprints

  1. J.F. Leyva, R.G. Plaza, Spectral stability of traveling fronts for reaction diffusion-degenerate Fisher-KPP equations. Preprint, 2016. [ARXV|PRE]


Publications in Refereed Journals

  1. J. Angulo Pava, R.G. Plaza, Transverse orbital stability of periodic traveling waves for nonlinear Klein-Gordon equations. Stud. Appl. Math. (2016), in press. [DOI|PRE]
  2. C. Lattanzio, C. Mascia, R.G. Plaza, C. Simeoni, Analytical and numerical investigation of traveling waves for an Allen-Cahn model with relaxation. Math. Models Methods Appl. Sci. 26 (2016), no. 5, pp. 931-985. [ARXV|DOI]
  3. C.K.R.T. Jones, R. Marangell, P.D. Miller, R.G. Plaza, Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation. J. Differential Equations 257 (2014), no. 12, pp. 4632-4703. [ARXV|DOI]
  4. J.F. Leyva, C. Málaga, R.G. Plaza, The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion. Phys. A 392 (2013), no. 22, pp. 5644-5662. [ARXV|DOI]
  5. C.K.R.T. Jones, R. Marangell, P.D. Miller, R.G. Plaza, On the stability analysis of periodic sine-Gordon traveling waves. Phys. D 251 (2013), no. 1, pp. 63-74 [ARXV|DOI]
  6. C. Málaga, A.A. Minzoni, R.G. Plaza, C. Simeoni, A chemotactic model for interaction of antagonistic microflora colonies: front asymptotics and numerical simulations. Stud. Appl. Math. 130 (2013) no. 3, pp. 264-294. [ARXV|DOI|PDF]
  7. R.G. Plaza, Lp-decay rates for perturbations of degenerate scalar viscous shock waves, J. Math. Anal. Appl. 382 (2011), no. 2, pp. 864-882. [DOI|PDF|PRE]
  8. T. Nguyen, R.G. Plaza, K. Zumbrun, Stability of radiative shock profiles for hyperbolic-elliptic coupled systems, Phys. D 239 (2010), no. 8, pp. 428-453. [ARXV|DOI|PDF]
  9. C. Lattanzio, C. Mascia, T. Nguyen, R.G. Plaza, K. Zumbrun, Stability of scalar radiative shock profiles, SIAM J. Math. Anal. 41 (2009), no. 6, pp. 2165-2206. [ARXV|DOI|PDF]
  10. G. Flores, R.G. Plaza, Stability of post-fertilization traveling waves, J. Differential Equations 247 (2009), no. 5, pp. 1529-1590. [DOI|PDF]
  11. R.G. Plaza, Multidimensional stability of martensite twins under regular kinetics, J. Mech. Phys. Solids 56 (2008), no. 5, pp. 1989-2018. [DOI|PDF]
  12. R.G. Plaza, A Sobolev-type inequality with applications, J. Ineq. Pure Appl. Math 8 (2007), no. 1, art. 2, 13 pp. [DOI|PDF|PRE]
  13. H. Freistühler, R.G. Plaza, Normal modes and nonlinear stability behaviour of phase boundaries in elastic materials, Arch. Rational Mech. Anal. 186 (2007), no. 1, pp. 1-24. [DOI|PDF]
  14. R.G. Plaza, P. Padilla, F. Sánchez-Garduño, R.A. Barrio, P.K. Maini, The effects of growth and curvature in pattern formation, J. Dynamics and Diff. Eqs. 16 (2004), no. 4, pp. 1093-1121. [DOI|PDF]
  15. R.G. Plaza, K. Zumbrun, An Evans function approach to spectral stability of small-amplitude shock profiles, Discr. and Cont. Dynam. Systs. 10 (2004), no. 4, pp. 885-924. [ARXV|DOI|PDF]


Conference Proceedings (Refereed)

  1. C.K.R.T. Jones, R. Marangell, P.D. Miller, R.G. Plaza, On the spectral and modulational stability of periodic wavetrains for nonlinear Klein-Gordon equations. Proceedings of the XV International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2014). July 28 - August 1, 2014. IMPA, Rio de Janeiro, Brazil. Bull. Brazilian Math. Soc., New Series 47 (2016), no. 2, pp. 417-429. [DOI|PRE]
  2. R.G. Plaza, On the stability of degenerate viscous shock profiles. In F. Ancona, A. Bressan, P. Marcati, A. Marson (eds.), Hyperbolic problems: Theory, Numerics, Applications. Proceedings of the 14th International Conference in Hyperbolic Problems (Padova 2012). AIMS Series on Applied Mathematics Vol. 8, American Institute of Mathematical Sciences, 2014, pp. 857-864.[PDF]
  3. H. Freistühler, R.G. Plaza, Normal modes analysis of subsonic phase boundaries in elastic materials. In S. Benzoni-Gavage, D. Serre (eds.), Hyperbolic problems: Theory, Numerics, Applications. Proceedings of the 11th International Conference in Hyperbolic Problems (Lyon 2006). Springer-Verlag, 2008, pp. 841-847. [DOI|PDF]


Textbooks and Lecture Notes

  1. A. Capella, R.G. Plaza, Partial Differential Equations, (in Spanish). In preparation.
  2. R.G. Plaza, Hyperbolic Systems of Conservation Laws, (in Spanish). In preparation.


Theses

  1. R.G. Plaza, On the stability of shock profiles, Ph.D. Thesis, New York University, New York, 2003.
  2. R.G. Plaza, A free-boundary value problem for the stationary Navier-Stokes equations (in Spanish), B.Sc. Thesis, National University of México (UNAM), México, 1996.