Journals
Stability of a plane Poiseuille flow in a channel bounded by anisotropic porous walls,
Supriya Karmakar, R. Usha, Geetanjali Chattopadhyay, Severine Millet, J. V. Ramana Reddy, & Priyanka Shukla, Physics of Fluids 34, 034103, 2022.
Resonant triad interactions in a stably stratified uniform shear flow,
Biswas, L. & Shukla, P., Phys. Rev. Fluids 7, 023904.
Dynamical aspects of a restricted three-vortex problem,
Kallyadan, S. S. & Shukla, P., IMA J. Appl. Math., 87, 1--19, 2021.
Dynamics of two moving vortices in the presence of a fixed vortex,
Kallyadan, S. S. & Shukla, P., Eur. J. Mech. B Fluids, 89, 458--472, 2021.
Stability analysis of a resonant triad in a stratified uniform shear flow,
Biswas, L. & Shukla, P., Phys. Rev. Fluids, 6, p. 014802, 2021.
Influence of the Peclet number on reactive viscous fingering,,
Shukla, P. & De Wit, A., Phys. Rev. Fluids, 5, p. 014004, 2020.
Finite amplitude instability in a two-fluid plane Poiseuille flow,
Chattopadhyay G., Usha R. & Shukla, P. Int. J. Multiph. Flow, 123, p. 103122, 2020.
Shear-banding instability in arbitrarily inelastic granular shear flows,
Shukla, P., Biswas, L. & Gupta, V. K., Phys. Rev. E, 100, p. 032903, 2019.
Higher-order moment theories for dilute granular gases of smooth hard-spheres,
Gupta, V. K. Shukla, P. & Torrilhon, M., Journal of Fluid Mechanics, 836, pp.451-501, 2018.
Fingering dynamics driven by a precipitation reaction: Nonlinear simulations,
Shukla, P. & De Wit, A., Phys. Rev. E, 93, pp. 023103-1-023103-14, 2016.
Nonlinear instability and convection in a vertically vibrated granular bed,
Shukla, P., Ansari, I., van der Meer, D., Lohse, D. & Alam, M.,
Journal of Fluid Mechanics, 761, pp. 123-167, 2014 (cover page article).
Nonlinear vorticity banding instability in granular plane Couette flow:
higher order Landau coefficient, bistability and the bifurcation scenario,
Shukla, P. & Alam, M., Journal of Fluid Mechanics, 718, pp. 131-180, 2013.
Nonlinear stability, bifurcation and vortical patterns in three-dimensional granular plane Couette flow,
Alam, M. & Shukla, P., Journal of Fluid Mechanics, 716, pp. 349-413, 2013.
Origin of subcritical shear banding instability in a dense two-dimensional sheared granular fluid,
Alam, M. & Shukla, P., Granular Matter, 14, pp. 221-227, 2012.
Nonlinear stability and patterns in granular plane Couette flow:
Hopf and pitchfork bifurcations, and evidence for resonance,
Shukla, P. & Alam, M., Journal of Fluid Mechanics, 672, pp. 147-195, 2011.
Weakly nonlinear theory of shear-banding instability in granular plane Couette flow:
analytical solution, comparison with numerics and bifurcation,
Shukla, P. & Alam, M., Journal of Fluid Mechanics, 666, pp. 204-253, 2011.
Landau-type order parameter equation for shear banding in granular Couette flow,
Shukla, P. & Alam, M., Physical Review Letters, 103, pp. 068001, 2009.
Universality of shear-banding instability and crystallization in sheared granular fluid,
Alam M., Shukla, P. & Luding S., Journal of Fluid Mechanics, 615, pp. 293-321, 2008.
Conference Publications
Grad-type fourteen moment theory for dilute granular gases, 2017, Indian Academy of Science-Conference Series, (accepted), (Perspectives in Nonlinear Dynamics (PNLD) 2016, Humboldt-Universitat zu Berlin, Germany, July 25-July 29 2016).
Stability of viscoelastic plane Poiseuille flow using lambda matrix, Shukla, P.,
Proc. of 14th Asian Congress of Fluid Mechanics,
vol. 2, pp. 1076, ISBN 978-604-913-145-5, Oct. 15-19, 2013, Hanoi and Halong, Vietnam.Nonlinear stability and shearbanding in sheared granular fluid,
Alam, M. & Shukla, P., Proc. of 14th Asian Congress of Fluid Mechanics,
vol. 2, pp. 987, ISBN 978-604-913-145-5, Oct. 15-19, 2013, Hanoi and Halong, Vietnam.Shearbanding and inhomogeneous states in a granular fluid,
Alam, M. & Shukla, P., Powders and Grains,
vol. 1542, pp. 795-798, ISBN 978- 0-7354-1166-1, July 2013, Sydney, Australia.Nonlinear stability of granular shear flow: Landau equation and shear- banding,
Shukla, P. & , M., Proc. of 12th Asian Congress of Fluid Mechanics,
pp. 1-4, Aug. 18-21, 2008, Daejeon, Korea.