Publications

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Published/Accepted

• K. Kinra and F. Cipriano, Random dynamics and invariant measures for a class of non-Newtonian fluids of differential type on 2d and 3d Poincar\'e domains, Nonlinear Anal., 264, (2026), 114005.

• K. Kinra and U. Koley, Non-uniqueness of H\"older continuous solutions for stochastic Euler and Hypodissipative Navier-Stokes equations, SIAM J. Math. Anal., In Press, (2025).

• Z.D. Totieva, K. Kinra and M.T. Mohan, Inverse problem for wave equation of memory  type with acoustic boundary conditions: Global solvability, Inverse Problems, (2025).

• K. Kinra and M.T. Mohan, The $\mathbb{H}^1$-compact global attractor for the two-dimensional Oldroyd fluid flow equations in bounded domains, J. Elliptic Parabol. Equ., (2025).

• K. Kinra and F. Cipriano, Optimal Control of a Class of Third-Grade-Voigt Equations, NoDEA Nonlinear Differential Equations Appl., 32 (2025), Article No. 126, 1-53.

• K. Kinra and M.T. Mohan, Asymptotic analysis of the 2D and 3D convective Brinkman-Forchheimer equations in unbounded domains, Rev. Math. Phys., 37(6) (2025), 2450044 (52 pages).

• K. Kinra and F. Cipriano, Well-posedness and asymptotic analysis of a class of 2D and 3D third grade fluids in bounded and unbounded domains, J. Evol. Equ., 25(3) (2025), Article No. 71, 1-46.

• K. Kinra and M. T. Mohan, Asymptotic Analysis of Two-dimensional Oldroyd Fluids in Unbounded Domains: Global Attractors and their Dimension, Asymptotic Analysis, 143(2) (2025), 783-805.

• K. Kinra and M.T. Mohan, Long term behavior of 2D and 3D non-autonomous random convective Brinkman-Forchheimer equations driven by colored noise, J. Dynam. Differential Equations, 37(2) (2025), 1467--1537.

• S. Gautam, K. Kinra and M.T. Mohan, Feedback stabilization of convective Brinkman-Forchheimer extended Darcy equations, Appl. Math. Optim., 91(1) (2025), Paper No. 25. 

• K. Kinra and M.T. Mohan, Theory of weak asymptotic autonomy of pullback stochastic weak attractors and its applications to 2D stochastic Euler equations driven by multiplicative noise, SIAM J. Math. Anal., 56(5) (2024), 6268--6301.

• A. Kumar, K. Kinra and M.T. Mohan, Wong-Zakai approximation for a class of SPDEs with fully local monotone coefficients and its application, J. Math. Fluid Mech., 26(3) (2024), Article 44.

• S. Gautam, K. Kinra and M.T. Mohan, 2D and 3D convective Brinkman-Forchheimer equations perturbed by a subdifferential and applications to control problems, Math. Control Relat. Fields, 14(3) (2024),  1048--1085.

• K. Kinra, R. Wang and M.T. Mohan, Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains, Evol. Equ. Control Theory, 13(2) (2024), 349--381. 

• K. Kinra, M.T. Mohan and R. Wang, Asymptotically autonomous robustness of non-autonomous random attractors for stochastic convective Brinkman-Forchheimer equations on $\mathbb{R}^3$, Int. Math. Res. Not. IMRN, 2024(7) (2024), 5850--5893.

• K. Kinra and M.T. Mohan, Random attractors and invariant measures for stochastic convective Brinkman-Forchheimer equations on 2D and 3D unbounded domains, Discrete Contin. Dyn. Syst. Ser. B, 29(1) (2024), 377--425.

• K. Kinra and M.T. Mohan, Large time behavior of deterministic and stochastic 3D convective Brinkman-Forchheimer equations in periodic domains, J. Dynam. Differential Equations, 35(3) (2023), 2355--2396.

• R. Wang, K. Kinra and M.T. Mohan, Asymptotically autonomous robustness in probability of random attractors for  stochastic Navier-Stokes equations on unbounded Poincar\'e domains, SIAM J. Math. Anal., 55(4) (2023), 2644-2676.

• K. Kinra and M.T. Mohan, $\mathbb{H}^1$-Random attractors for 2D stochastic convective Brinkman-Forchheimer equations in unbounded domains, Adv. Differential Equations, 28(9-10) (2023), 807--884.

• K. Kinra and M.T. Mohan, Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space, Differential Integral Equations, 36(5-6) (2023), 367--412.

• K. Kinra and M.T. Mohan, Existence and upper semicontinuity of random attractors for the 2D stochastic convective Brinkman-Forchheimer equations in bounded domains, Stochastics, 95(6) (2023), 1042--1077.

• K. Kinra and M.T. Mohan, Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations, J. Math. Anal. Appl., 515(2) (2022), Paper No. 126438, 36 pp.

• K. Kinra and M.T. Mohan, Weak pullback mean random attractors for the stochastic convective Brinkman-Forchheimer equations and locally monotone stochastic partial differential equations, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 25(1) (2022), 2250005.

• K. Kinra and M.T. Mohan, Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations, Evol. Equ. Control Theory, 11(5) (2022), 1701--1744.

• P. Kumar, K. Kinra and M.T. Mohan, A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids, Inverse Problems, 37(8) (2021), 085005.