|
|
Invited articles: |
|
|
S.N. Alekseenko, M.V. Dontsova, and D.E. Pelinovsky,
Global solutions to the shallow-water system with a method of an additional argument,
Applicable Analysis 96, 1444-1465
(2017)
|
|
|
|
D. Pelinovsky,
Survey on global existence in the nonlinear Dirac equations in
one dimension, "Harmonic Analysis and Nonlinear Partial Differential Equations"
(Editors T. Ozawa and M. Sugimoto) RIMS Kokyuroku Bessatsu, B26,
37-50 (2011)
|
|
|
|
|
|
Regular articles: |
|
|
|
A. Geyer, R.H. Martins, F. Natali, and D.E. Pelinovsky,
Stability of smooth periodic traveling waves in the Camassa-Holm equation,
Studies in Applied Mathematics 148 27-61
(2022)
|
|
|
|
S. Lafortune and D.E. Pelinovsky,
Spectral instability of peakons in the b-family of the Camassa-Holm equations,
SIAM Journal of Mathematical Analysis 54 4572-4590
(2022)
|
|
|
|
S. Lafortune and D.E. Pelinovsky,
Stability of smooth solitary waves in the b-Camassa-Holm equations,
Physica D 440 133477 (10 pages)
(2022)
|
|
|
|
A. Madiyeva and D.E. Pelinovsky,
Growth of perturbations to the peaked periodic
waves in the Camassa-Holm equation,
SIAM Journal of Mathematical Analysis, 53, 3016-3039
(2021)
|
|
|
|
R.M. Chen and D.E. Pelinovsky,
W1,∞ instability of H1-stable peakons
in the Novikov equation,
Dynamics of PDE 18, 173-197
(2021)
|
|
|
|
F. Natali and D.E. Pelinovsky,
Instability of H1-stable peakons in the Camassa-Holm equation,
Journal of Differential Equations, 268
7342-7363 (2020)
|
|
|
|
A. Geyer and D.E. Pelinovsky,
Spectral instability of the peaked periodic wave in the reduced Ostrovsky equation,
Proceedings of AMS 148,
5109-5125 (2020)
|
|
|
|
A. Geyer and D.E. Pelinovsky,
Linear instability and uniqueness of the peaked periodic
wave in the reduced Ostrovsky equation,
SIAM Journal of Mathematical Analysis 51, 1188-1208
(2019)
|
|
|
|
H. Huh and D.E. Pelinovsky,
Nonexistence of self-similar blowup
for the nonlinear Dirac equations in (1+1) dimensions,
Applied Mathematics Letters 92,
176-183 (2019)
|
|
|
|
A. Geyer and D.E. Pelinovsky,
Spectral stability of periodic waves
in the generalized reduced Ostrovsky equation,
Letters in Mathematical Physics 107, 1293-1314
(2017)
|
|
|
|
E.R. Johnson and D. Pelinovsky,
Orbital stability of periodic waves in the class
of reduced Ostrovsky equations,
Journal of Differential Equations 261, 3268-3304
(2016)
|
|
|
|
R. Grimshaw and D.E. Pelinovsky,
Global existence of small-norm solutions
in the reduced Ostrovsky equation,
Discrete Continuous Dynamical Systems Series A
34, 557-566
(2014)
|
|
|
|
Y. Liu, D. Pelinovsky, and A. Sakovich,
Wave breaking in the Ostrovsky-Hunter equation,
SIAM Journal of Mathematical Analysis 42,
1967–1985 (2010)
|
|
|
|
D.E. Pelinovsky and A. Sakovich,
Global well-posedness of the short-pulse and sine-Gordon equations
in energy space,
Communications in PDE 35,
613-629 (2010)
|
|
|
|
Yu. Liu, D. Pelinovsky, and A. Sakovich,
Wave breaking in the short-pulse equation,
Dynamics in PDEs 6,
291-310 (2009)
|
|
|
|