|
Online ISSN 1552-4485; Print ISSN 0033-569X
Preface for the first special issue in honor of Bob Pego
Author:
Govind Menon
Journal:
Quart. Appl. Math. 82 (2024), 1-5
MSC (2020):
Primary 35Qxx, 70F99, 82Cxx
DOI:
https://doi.org/10.1090/qam/1673
Published electronically:
November 27, 2023
Full-text PDF
References | Similar Articles | Additional Information
- J. M. Ball, P. J. Holmes, R. D. James, R. L. Pego, and P. J. Swart, On the dynamics of fine structure, J. Nonlinear Sci. 1 (1991), no. 1, 17–70. MR 1102830, DOI 10.1007/BF01209147
- J. Ballew, G. Iyer, C. D. Levermore, H. Liu, and R. L. Pego, Global dynamics and photon loss in the Kompaneets equation, arXiv:2208.09755 [math.AP], 2022.
- Joshua Ballew, Gautam Iyer, and Robert L. Pego, Bose-Einstein condensation in a hyperbolic model for the Kompaneets equation, SIAM J. Math. Anal. 48 (2016), no. 6, 3840–3859. MR 3572367, DOI 10.1137/15M1054730
- Jack Carr and Robert Pego, Invariant manifolds for metastable patterns in $u_t=\epsilon ^2u_{xx}-f(u)$, Proc. Roy. Soc. Edinburgh Sect. A 116 (1990), no. 1-2, 133–160. MR 1076358, DOI 10.1017/S0308210500031425
- Jack Carr and Robert Pego, Self-similarity in a coarsening model in one dimension, Proc. Roy. Soc. London Ser. A 436 (1992), no. 1898, 569–583. MR 1177577, DOI 10.1098/rspa.1992.0035
- J. Carr and R. L. Pego, Metastable patterns in solutions of $u_t=\epsilon ^2u_{xx}-f(u)$, Comm. Pure Appl. Math. 42 (1989), no. 5, 523–576. MR 997567, DOI 10.1002/cpa.3160420502
- Pierre Degond, Jian-Guo Liu, and Robert L. Pego, Coagulation-fragmentation model for animal group-size statistics, J. Nonlinear Sci. 27 (2017), no. 2, 379–424. MR 3614760, DOI 10.1007/s00332-016-9336-3
- G. Friesecke and R. L. Pego, Solitary waves on FPU lattices. I. Qualitative properties, renormalization and continuum limit, Nonlinearity 12 (1999), no. 6, 1601–1627. MR 1726667, DOI 10.1088/0951-7715/12/6/311
- G. Friesecke and R. L. Pego, Solitary waves on FPU lattices. II. Linear implies nonlinear stability, Nonlinearity 15 (2002), no. 4, 1343–1359. MR 1912298, DOI 10.1088/0951-7715/15/4/317
- G. Friesecke and R. L. Pego, Solitary waves on Fermi-Pasta-Ulam lattices. III. Howland-type Floquet theory, Nonlinearity 17 (2004), no. 1, 207–227. MR 2023440, DOI 10.1088/0951-7715/17/1/013
- G. Friesecke and R. L. Pego, Solitary waves on Fermi-Pasta-Ulam lattices. IV. Proof of stability at low energy, Nonlinearity 17 (2004), no. 1, 229–251. MR 2023441, DOI 10.1088/0951-7715/17/1/014
- Mariana Hărăguş-Courcelle and Robert L. Pego, Travelling waves of the KP equations with transverse modulations, C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 3, 227–232 (English, with English and French summaries). MR 1674527, DOI 10.1016/S0764-4442(99)80126-8
- Gautam Iyer, Nicholas Leger, and Robert L. Pego, Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes, Ann. Appl. Probab. 25 (2015), no. 2, 675–713. MR 3313753, DOI 10.1214/14-AAP1008
- Gautam Iyer, Nicholas Leger, and Robert L. Pego, Coagulation and universal scaling limits for critical Galton-Watson processes, Adv. in Appl. Probab. 50 (2018), no. 2, 504–542. MR 3832883, DOI 10.1017/apr.2018.23
- Richard Kollár and Robert L. Pego, Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature, Appl. Math. Res. Express. AMRX 1 (2012), 1–46. MR 2900145, DOI 10.1093/amrx/abr007
- C. David Levermore, Hailiang Liu, and Robert L. Pego, Global dynamics of Bose-Einstein condensation for a model of the Kompaneets equation, SIAM J. Math. Anal. 48 (2016), no. 4, 2454–2494. MR 3523075, DOI 10.1137/15M1054377
- Jian-Guo Liu, Jie Liu, and Robert L. Pego, Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, Comm. Pure Appl. Math. 60 (2007), no. 10, 1443–1487. MR 2342954, DOI 10.1002/cpa.20178
- Jian-Guo Liu, B. Niethammer, and Robert L. Pego, Self-similar spreading in a merging-splitting model of animal group size, J. Stat. Phys. 175 (2019), no. 6, 1311–1330. MR 3962982, DOI 10.1007/s10955-019-02280-w
- Jian-Guo Liu, Robert L. Pego, and Dejan Slepčev, Least action principles for incompressible flows and geodesics between shapes, Calc. Var. Partial Differential Equations 58 (2019), no. 5, Paper No. 179, 43. MR 4018311, DOI 10.1007/s00526-019-1636-7
- Andrew Majda and Robert L. Pego, Stable viscosity matrices for systems of conservation laws, J. Differential Equations 56 (1985), no. 2, 229–262. MR 774165, DOI 10.1016/0022-0396(85)90107-X
- Govind Menon and Robert L. Pego, Approach to self-similarity in Smoluchowski’s coagulation equations, Comm. Pure Appl. Math. 57 (2004), no. 9, 1197–1232. MR 2059679, DOI 10.1002/cpa.3048
- Govind Menon and Robert L. Pego, Dynamical scaling in Smoluchowski’s coagulation equations: uniform convergence, SIAM J. Math. Anal. 36 (2005), no. 5, 1629–1651. MR 2139564, DOI 10.1137/S0036141003430263
- Govind Menon and Robert L. Pego, Universality classes in Burgers turbulence, Comm. Math. Phys. 273 (2007), no. 1, 177–202. MR 2308754, DOI 10.1007/s00220-007-0251-1
- Barbara Niethammer and Robert L. Pego, Non-self-similar behavior in the LSW theory of Ostwald ripening, J. Statist. Phys. 95 (1999), no. 5-6, 867–902. MR 1712441, DOI 10.1023/A:1004546215920
- Barbara Niethammer and Robert L. Pego, On the initial-value problem in the Lifshitz-Slyozov-Wagner theory of Ostwald ripening, SIAM J. Math. Anal. 31 (2000), no. 3, 467–485. MR 1735959, DOI 10.1137/S0036141098338211
- John A. Nohel and Robert L. Pego, Nonlinear stability and asymptotic behavior of shearing motions of a non-Newtonian fluid, SIAM J. Math. Anal. 24 (1993), no. 4, 911–942. MR 1226857, DOI 10.1137/0524056
- John A. Nohel, Robert L. Pego, and Athanassios E. Tzavaras, Stability of discontinuous steady states in shearing motions of a non-Newtonian fluid, Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), no. 1-2, 39–59. MR 1059643, DOI 10.1017/S0308210500024550
- Robert L. Pego, Phase transitions in one-dimensional nonlinear viscoelasticity: admissibility and stability, Arch. Rational Mech. Anal. 97 (1987), no. 4, 353–394. MR 865845, DOI 10.1007/BF00280411
- R. L. Pego, Front migration in the nonlinear Cahn-Hilliard equation, Proc. Roy. Soc. London Ser. A 422 (1989), no. 1863, 261–278. MR 997638, DOI 10.1098/rspa.1989.0027
- Robert L. Pego, Lectures on dynamics in models of coarsening and coagulation, Dynamics in models of coarsening, coagulation, condensation and quantization, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., vol. 9, World Sci. Publ., Hackensack, NJ, 2007, pp. 1–61. MR 2395779, DOI 10.1142/9789812770226_{0}001
- Robert L. Pego and José Raúl Quintero, Two-dimensional solitary waves for a Benney-Luke equation, Phys. D 132 (1999), no. 4, 476–496. MR 1704829, DOI 10.1016/S0167-2789(99)00058-5
- Robert L. Pego, Peter Smereka, and Michael I. Weinstein, Oscillatory instability of traveling waves for a KdV-Burgers equation, Phys. D 67 (1993), no. 1-3, 45–65. MR 1234437, DOI 10.1016/0167-2789(93)90197-9
- Robert L. Pego and Michael I. Weinstein, Eigenvalues, and instabilities of solitary waves, Philos. Trans. Roy. Soc. London Ser. A 340 (1992), no. 1656, 47–94. MR 1177566, DOI 10.1098/rsta.1992.0055
- Robert L. Pego and Michael I. Weinstein, Asymptotic stability of solitary waves, Comm. Math. Phys. 164 (1994), no. 2, 305–349. MR 1289328, DOI 10.1007/BF02101705
- R. L. Pego and M. I. Weinstein, On the strong spectral stability of some Boussinesq solitary waves, Proceedings of the IUTAM/ISIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids (Hannover, 1994) Adv. Ser. Nonlinear Dynam., vol. 7, World Sci. Publ., River Edge, NJ, 1995, pp. 370–382. MR 1685881
Retrieve articles in Quarterly of Applied Mathematics with MSC (2020): 35Qxx, 70F99, 82Cxx
Retrieve articles in all journals with MSC (2020): 35Qxx, 70F99, 82Cxx
Additional Information
Govind Menon
Affiliation:
Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912
MR Author ID:
647776
ORCID:
0000-0002-7581-1380
Email:
govind_menon@brown.edu
Received by editor(s):
May 1, 2023
Received by editor(s) in revised form:
May 2, 2023
Published electronically:
November 27, 2023
Additional Notes:
This work was supported by the National Science Foundation (DMS 2107205)
Article copyright:
© Copyright 2023
Brown University