Publications and preprints

Published/ accepted  papers  

  (with J. Oh) Gradient higher integrability for degenerate parabolic double phase systems with two modulating coefficients, To appear in Calculus of Variations and Partial Differential Equations.  https://arxiv.org/abs/2504.15799

  (with M. Modasiya)  Fine boundary regularity for fully nonlinear mixed local-nonlocal problems, Journal of Differential Equations.  452 (2026).  https://doi.org/10.1016/j.jde.2025.113780 

(with B. Kim and  J. Oh) Parabolic Lipschitz truncation for multi-phase problems: the degenerate case,  Advances in Calculus of Variations. (2025) https://doi.org/10.1515/acv-2025-0003

Gradient higher integrability for degenerate/ singular parabolic multi-phase problems, Journal of Geometric Analysis. 35, 170 (2025).  https://doi.org/10.1007/s12220-025-01950-4

(with A. Sen)  Existence of global entropy solution for Eulerian droplet models and two-phase flow model with non-constant air velocity,  Journal of  Dynamics and Differential Equations. 37, 1871-1915 (2025) https://doi.org/10.1007/s10884-023-10337-4

(with M. R. Sahoo and M. Singh) Initial boundary value problem for 1D scalar balance laws with strictly convex flux, Journal of  Mathematical Analysis and Applications.  533, (2024) https://doi.org/10.1016/j.jmaa.2023.128006

A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth, Forum Mathematicum. 35, 1549-1561 (2023) https://doi.org/10.1515/forum-2022-0331

(with A. Biswas and M. Modasiya) Boundary regularity of mixed local-nonlocal operators and its application, Annali di Matematica Pura ed Applicata.  202, 679–710.  https://doi.org/10.1007/s10231-022-01256-0

(with L. Neumann,  M. Oberguggenberger and M. R. Sahoo) Initial-boundary value problem for 1D pressureless gas dynamics, Journal of  Differential Equations. 316, 687–725. https://doi.org/10.1016/j.jde.2022.01.058

(with A. Aggarwal M. R.  Sahoo and G. Vaidya) Solutions with concentration for conservation laws with discontinuous flux and its applications to numerical schemes for hyperbolic systems. Studies in  Applied Mathematics. 145, no. 2, 247–290. https://doi.org/10.1111/sapm.12319

(with M. R. Sahoo) Vanishing viscosity limit for a system of balance laws with general type initial data arising from 1D Saint-Venant model. Journal of Mathematical  Physics. 61 (2020), no. 5, 051507, 19 pp. https://doi.org/10.1063/1.5141052

(with M. R. Sahoo)  Limiting behavior of scaled general Euler equations of compressible fluid flow.  Z. Angew. Math. Phys. 71, no. 2, Paper No. 51, 19 pp. https://doi.org/10.1007/s00033-020-1273-1

(with M. R. Sahoo) Limiting behavior of some strictly hyperbolic systems of conservation laws. Asymptotic Analysis. 113, no. 4, 211–238. https://doi.org/10.3233/ASY-181513

(with S. Engu and M. R. Sahoo) On a complex sequence of vanishing moments. Journal of Ramanujan Math. Soc. 34, no. 2, 185–190.

Preprints

1D pressureless gas dynamics systems in a strip,  preprint 2025.  https://doi.org/10.48550/arXiv.2502.15927

(with J. Siltakoski) Lipschitz regularity for parabolic double phase equations with gradient nonlinearity,  preprint 2025. https://arxiv.org/abs/2508.16391

(with S. Jarohs and T. Weth)  s-harmonic functions in the small order limit,  preprint 2026.  https://arxiv.org/abs/2605.06102

(with J. Siltakoski)  Higher integrability for parabolic double phase equations with an improved gap bound, preprint 2026.

Thesis

Solutions in the class of measures for some hyperbolic systems of conservation laws and scalar conservation laws with discontinuous flux. May 2021,  http://www.hbni.ac.in/phdthesis/math/MATH11201604001.pdf

Notes

Notes on conservation laws. Link