Papers in International Journals with Referee
-
The discrete generalized exchange-driven system ,
(preprint, August, 2024); to appear in Math. Methods Appl. Sci.
(with
P.K. Barik,
J.T. Pinto
and R. Sasportes).
-
Modelling Silicosis: Dynamics of a Model with Piecewise Constant Coefficients,
J. Dynam. Differential Equations, 36 (2) 1285-1310 (2024).
(with
P.R.S. Antunes,
J.T. Pinto
and R. Sasportes).
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Theoretical analysis of a discrete population balance model with sum kernel,
Port. Math., 80, (3/4) 343-367 (2023).
(with S. Kaushik and R. Kumar).
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The Continuous Redner--Ben-Avraham--Kahng coagulation system: well-posedness and asymptotic behaviour,
Evol. Equ. Control The., 12 (5) 1247-1267 (2023).
(with A.K. Giri and P. Verma).
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Mathematical models of chiral symmetry-breaking: a review of general theories, and adiabatic approximations of the APED system,
Orig. Life Evol. Biosph., 52, 183-204 (2022) (with
P. Diniz
and
J.A.D. Wattis).
-
Modelling Silicosis: Existence, Uniqueness, and Basic Properties of Solutions,
Nonlinear Anal. Real World Appl., 60 103299 (2021)
(with
J.T. Pinto
and R. Sasportes).
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Steady state solutions in a model of a cholesteric liquid crystal sample,
Afr. Mat., 32, 645-672 (2021)
(with
M. Grinfeld,
N.J. Mottram,
J.T. Pinto and K. Xayxanadasy).
-
Modelling Silicosis: the Structure of Equilibria,
Euro. J. Appl. Math., 31 (6), 919-936 (2020)
(with
M. Drmota
and M. Grinfeld).
-
On the Convergence to Critical Scaling Profiles in Submonolayer Deposition Models,
Kinet. Relat. Models, 11 (6), 1359-1376 (2018)
(with
J.T. Pinto
and R. Sasportes).
-
Bifurcation analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with
pre-twist boundary conditions: the asymmetric case, Euro. J. Appl. Math., 28 (2),
243-260 (2017)
(with M.I. Méndez
and J.T. Pinto).
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Rates of Convergence to Scaling Profiles in a Submonolayer Deposition Model and the
Preservation of Memory of the Initial Condition,
SIAM J. Math. Anal., 48 (2), 1109-1127 (2016)
(with
J.T. Pinto
and R. Sasportes).
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The Redner - Ben-Avraham - Kahng Coagulation System With Constant Coefficients: The Finite Dimensional Case,
Z. angew. Math. und Phys., 66 (4), 1375-1385 (2015)
(with
J.T. Pinto
and R. Sasportes).
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Kickback in Nematic Liquid Crystals, Quart. Appl. Math., 70 (1), 99-110 (2012)
(with
M. Grinfeld,
M. Langer,
N.J. Mottram,
and J.T. Pinto).
-
The Redner - Ben-Avraham - Kahng Cluster System,
São Paulo J. Math. Sci., 6 (2), 171-201 (2012)
(with
J.T. Pinto
and R. Sasportes).
-
Scaling Behaviour in a Coagulation-Annihilation Model and Lotka-Volterra Competition Systems,
J. Phys. A: Math. Teor., 45 (2012) 285201.
(with
J.T. Pinto,
H.J. van Roessel,
and R. Sasportes).
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A Nonautonomous Predator-Prey
System Arising From Coagulation Theory, Int. J. Biomath. Biostat., 1 (2), 129-140 (2010)
(with J.T. Pinto).
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Bifurcation Analysis of the Twist-Freedericksz Transition in a Nematic Liquid Crystal Cell With
Pre-twist Boundary Conditions, Euro. J. Appl. Math., 20, 269-287 (2009)
(with
E.C. Gartland Jr.,
M. Grinfeld,
and J.T. Pinto).
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Uniqueness in the Freedericksz Transition With Weak Anchoring,
J. Differential Equations, 246, 2590-2600 (2009)
(with
M. Grinfeld,
N.J. Mottram,
and J.T. Pinto).
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Dynamics of a Nonautonomous ODE System Occuring in Coagulation Theory, J. Dynam. Differential Equations,
20, 55-85 (2008) (with R. Sasportes).
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A Mathematical Study of a Bistable Nematic Liquid Crystal Device,
Math. Models Methods Appl. Sci., 17, 2009-2034 (2007) (with
M.Grinfeld,
N.J. Mottram,
and J.T. Pinto).
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Dynamics of a Differential System Using Invariant Regions,
L'Enseignement Math., 53, 3-14 (2007).
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Long-Time Behaviour and Self-Similarity in a Coagulation Equation With Input
of Monomers, Markov Processes Relat. Fields, 12, 367-398 (2006) (with
H.J. van Roessel and
J.A.D. Wattis).
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A Hierarchical Cluster System Based on Horton-Strahler Rules for River Networks,
Stud. Appl. Math., 109, 163-204 (2002) (with
M. Grinfeld and
J.A.D. Wattis).
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Unimodality of Steady Size Distribution of Growing Cell Populations,
J. Evol. Equ.,
1, 405-409 (2001) (with
M.Grinfeld
and J.B.McLeod).
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A Finite
Dimensional Dynamical Model for Gelation in Coagulation Processes,
J. Nonlinear Sci.,
8, 619-653 (1998)
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Asymptotic Behaviour of Low Density Solutions to the
Generalized Becker-Döring Equations,
Nonlinear Diff. Eq. Appl.,
5, 23-37 (1998)
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On the Dynamic Scaling Behaviour of Solutions to the
Discrete Smoluchowski Equations,
Proc. Edinburgh Math. Soc.,
39, 547-559 (1996)
-
On the Positivity of
Solutions to the Smoluchowski Equations,
Mathematika,
42, 406-412 (1995)
-
Existence and Uniqueness
of Density Conserving Solutions to the Coagulation-Fragmentation
Equations With Strong Fragmentation,
J. Math. Anal. Appl.,
192, 892-914 (1995)
-
Asymptotic Behavior of Solutions to the Coagulation-Fragmentation
Equations. II. Weak Fragmentation,
J. Stat. Phys.,
77, 89-123 (1994) (with
J.Carr).
-
Instantaneous Gelation in Coagulation Dynamics,
Z. angew. Math. und Phys.,
43, 974-983 (1992) (with
J.Carr).
Papers in Book Chapters with Referee
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Mathematical Aspects of Coagulation-Fragmentation Equations, in: J.-P. Bourguignon, R. Jelstch, A.A. Pinto,
M. Viana (Eds.): Mathematics of
Planet Earth: Energy and Climate Change,,
CIM Series in Mathematical Sciences vol. 2, Springer, Cham, 2015. Chapter 5, pp. 83--162.
Papers in Proceedings with Referee
-
Self-similar behaviour in an
addition model with input of monomers, in: Theodore E. Simos, George Psihoyios, Ch. Tsitouras
(Eds.): Numerical Analysis and
Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics 2008;
AIP Conference Proceedings, vol.
1048, Americal Institute of Physics, Melville NY,
2008 (pp. 935-938)
(with J.T. Pinto
and R. Sasportes).
-
Convergence to self-similarity in
addition models with input of monomers,
Oberwolfach Reports 4, Issue 4, 2754-2756 (2007).
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Convergence to self-similarity in an addition model with power-like time-dependent input of monomers
, in: Vincenzo Cutello, Giorgio Fotia, Luigia Puccio (Eds.): Applied and Industrial Mathematics in Italy II, Selected
Contributions from the 8th SIMAI Conference; Series on Advances in
Mathematics for Applied Sciences, vol. 75, World Scientific, Singapore,
2007 (pp. 303-314)
(with J.T. Pinto
and R. Sasportes).
-
Convergence to equilibria of solutions to the coagulation-fragmentation equations
, in: Ta-tsien Li, Long-wei Lin, José Francisco Rodrigues (Eds.): Luso-Chinese
Symposium on Nonlinear Evolution Equations and Their Applications, World Scientific,
Singapore, 1999 (pp. 45-56).