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Gurusamy Arumugam
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Year
Keller-Segel chemotaxis models: A review
G Arumugam, J Tyagi
Acta Applicandae Mathematicae 171 (6), 1-82, 2021
1082021
Weak solutions for nonlinear parabolic equations with variable exponents
L Shangerganesh, A Gurusamy, K Balachandran
Communications in Mathematics 25, 55-70, 2017
172017
Existence of weak solutions to the Keller–Segel chemotaxis system with additional cross-diffusion
G Arumugam, AH Erhardt, I Eswaramoorthy, B Krishnan
Nonlinear Analysis: Real World Applications 54, 103090, 2020
112020
Finite element method for solving Keller-Segel chemotaxis system with cross-diffusion
A Gurusamy, K Balachandran
International Journal of Dynamics and Control 6, 539–549, 2018
72018
Nonnegative solutions to reaction-diffusion system with cross-diffusion and nonstandard growth conditions
A Gurusamy, J Tyagi
Mathematical Methods in the Applied Sciences 43, 6576-6597, 2020
42020
Existence of nonnegative weak solution to a certain homogeneous parabolic Neumann problem involving variable exponents.
G Arumugam, AH Erhardt
Journal of Elliptic and Parabolic Equations, 1-25, 2020
4*2020
Global existence of solutions to a two-species predator–prey parabolic chemotaxis system
G Arumugam, AH Erhardt, N Nagarajan
International Journal of Biomathematics 15 (08), 2250054, 2022
22022
Blow-up of solutions to reaction-diffusion system with nonstandard growth conditions
A Gurusamy, K Balachandran
J. Appl. Nonlinear Dyn 6, 407-425, 2017
22017
Global existence of solutions to Keller-Segel chemotaxis system with heterogeneous logistic source and nonlinear secretion
G Arumugam, AK Dond, AH Erhardt
arXiv preprint arXiv:2105.12596, 2021
12021
Existence and uniqueness of weak solutions to parabolic problems with nonstandard growth and cross diffusion
G Arumugam, AH Erhardt
Electronic Journal of Differential Equations, 2020
12020
Global existence and blow-up of solutions to a coupled parabolic system
A Gurusamy, K Balachandran
Indian Society of Industrial and Applied Mathematics 11 (2), 138-156, 2020
12020
Finite element method for time fractional Keller–Segel chemotaxis system
A Gurusamy
Theory and Applications of Non-integer Order Systems: 8th Conference on Non …, 2017
12017
Blow up of solutions of nonlinear parabolic system with variable exponents
A Gurusamy, L Shangerganesh, K Balachandran
Nonlinear Functional Analysis and Applications 21 (3), 449-461, 2016
12016
Global existence and stability of three species predator-prey system with prey-taxis
G Arumugam
Mathematical Biosciences and Engineering 20 (5), 8448-8475, 2023
2023
Fully parabolic chemotaxis-competition system with loop and signal dependent sensitivity
G Arumugam, N Nagarajan
Journal of Elliptic and Parabolic Equations, https://doi.org/10.1007/s41808 …, 2021
2021
Discontinuos Galerkin Methods for Keller-Segel Chemotaxis System with General Chemotactic Sensitivity and Cross-diffusion
G Arumugam, B Krishnan
Global Existence of Weak Solutions to Keller-Segel Chemotaxis Systems
G Arumugam
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Articles 1–17