Publications

Published/Communicated works:

Published works

1. A. Kumar, H. B. de Oliveira and M.T. Mohan, Existence and uniqueness of weak solutions for the generalized stochastic Navier-Stokes-Voigt equations,  Journal of Statistical Physics, 192, (2025), Paper No. 118..

2. A. Kumar and M. T. Mohan,  Small-time asymptotics for a class of stochastic partial differential equations with fully monotone coefficients forced by multiplicative Gaussian noise, Stochastic and Dynamics, (2025).

3. V. Kumar, A. Kumar and M. T. Mohan, Central limit theorem and moderate deviation principle for the stochastic generalized  Burgers-Huxley equation with multiplicative noise, Applicable Analysis, 104 (13)(2025), 2459-2494.

4. A. Kumar and M. T. Mohan, Uniform large deviation principle for the solutions of two-dimensional stochastic Navier-Stokes equations in vorticity form, Applied Mathematics and Optimization, 90 (1) (2024), Paper No. 9.

5. A. Kumar and M. T. Mohan,  Large deviation principle for a class of stochastic partial differential equations with fully local monotone coefficients perturbed by Levy noise, Potential Analysis,  62 (3) (2025), 563-623.

6. A. Kumar, K. Kinra and M. T. Mohan, Wong-Zakai approximation for a class of  SPDEs with fully local monotone coefficients and its applications, Journal of Mathematical  Fluid Mechanics, 26 (3) (2024), Paper No. 44 .

7. A. Kumar and M. T. Mohan, Well-posedness of a class of stochastic partial differential equations with fully monotone coefficients perturbed by Levy noise, Analysis and Mathematical Physics, 1 4 (3) (2024), Paper No. 44. 

8. A. Kumar and M. T. Mohan, Absolute continuity of the solution to stochastic generalized Burgers-Huxley equation, Stochastic Partial Differential Equations. Analysis and Computations, 12 (4) (2024), 1983-2043.

9. A. Kumar and M. T. Mohan,  Large deviation principle for occupation measures of stochastic generalized Burgers-Huxley equation,  Journal of Theoretical Probability,  36 (1) (2023), 661-709.

10. A. Kumar and M. T. Mohan, Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations, Stochastic Analysis and Applications, 41 (2) (2023), 214-256.

Communicated works

1. A. Kumar and M. T. Mohan, Global well-posedness and small time asymptotics of stochastic Ladyzhenskaya-Smagorinsky equations with damping  on unbounded domains, Submitted, (2025).

2. A. Kumar, V. Kumar and M. T. Mohan, Well-posedness and uniform large deviation principle for stochastic Burgers-Huxley equation perturbed by a multiplicative noise, Under revision from February 2025.