Keller-Segel chemotaxis models: A review G Arumugam, J Tyagi Acta Applicandae Mathematicae 171 (6), 1-82, 2021 | 108 | 2021 |
Weak solutions for nonlinear parabolic equations with variable exponents L Shangerganesh, A Gurusamy, K Balachandran Communications in Mathematics 25, 55-70, 2017 | 17 | 2017 |
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 | 11 | 2020 |
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 | 7 | 2018 |
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 | 5 | 2020 |
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 | 2 | 2022 |
Blow-up of solutions to reaction-diffusion system with nonstandard growth conditions A Gurusamy, K Balachandran J. Appl. Nonlinear Dyn 6, 407-425, 2017 | 2 | 2017 |
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 | 1 | 2021 |
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 | 1 | 2020 |
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 | 1 | 2020 |
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 | 1 | 2017 |
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 | 1 | 2016 |
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 | | |