28. Removing singularities for fully nonlinear PDEs
Proceedings of the AMS, to appear [arxiv]
27. Hessian estimates for special Lagrangian equation by doubling
Analysis & PDE, to appear [arxiv, full text]
26. Regularity for the Monge-Ampère equation by doubling
with Y. Yuan, Mathematicsche Zeitschrift, 307 (34), 2024, [doi, link, arxiv].
25. Hessian estimates for the sigma-2 equation in dimension four
with Y. Yuan, Annals of Mathematics 201 (2) pg. 489-513, 2025 [arxiv, link].
24. Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase
with A. Bhattacharya and C. Mooney, American Journal of Mathematics, accepted, [arxiv]
23. Optimal regularity for Lagrangian mean curvature type equations
with A. Bhattacharya, Archive for Rational Mechanics and Analysis 248:95 (2024), [arxiv, read only full text]
22. Regularity for convex viscosity solutions of Lagrangian mean curvature equation
with A. Bhattacharya, Journal für die reine und angewandte Mathematik, vol. 2023, no. 803, 2023, pp. 219-232, [doi, arxiv]
21. Regularity for convex viscosity solutions of special Lagrangian equation
with J.Y. Chen and Y. Yuan, Comm. Pure Appl. Math. 79(12), 2023, 4075-4086, [doi, arxiv]
20. Rigidity for general semiconvex entire solutions to the sigma-2 equation
with Y. Yuan, Duke Math. J. 171(15), 3201-3214, 2022, [doi, arxiv]
19. Regularity for almost convex viscosity solutions of the sigma-2 equation
with Y. Yuan, J. Math. Study 54(2), 2021, [doi, full text]
18. Hessian estimate for semiconvex solutions to the sigma-2 equation
with Y. Yuan, Calc. Var. Partial Differential Equations 59 (1), 2020, [doi, full text]
17. Recovering a quasilinear conductivity from boundary measurements
Inverse Problems 37 (1), 2020, [doi, arxiv]
16. Quasi-Noether systems and quasi-Lagrangians
with V. Rosenhaus, Symmetry 11(8), 2019, [doi, arxiv]
15. Sub-symmetries and Conservation Laws
with V. Rosenhaus, Reports on Math. Phys. 83(1), 2019, [doi, arxiv]
14. Subsymmetries and Their Properties
with V. Rosenhaus, Theoret. Math. Phys. 197, 2018, [doi, arxiv]
13. Semi-invariant solutions of the Navier-Stokes equations
with V. Rosenhaus and C. Squellati, Math. Meth. Appl. Sci. 41(8), 2018, [doi]
12. An inverse problem from condense matter physics
with R.Y. Lai, D. Spirn, and G. Uhlmann. Inverse Problems 33(11), 2017, [doi, arxiv]
11. Symmetries and conservation laws of the Euler equations in Lagrangian coordinates
J. Math. Anal. Appl. 447(2), 2017, [doi, arxiv]
10. Second Noether theorem for quasi-Noether systems
with V. Rosenhaus, J. Phys A 49(17), 2016, [doi, arxiv]
9. Stability Analysis of Non-Newtonian Rimming Flow
with P. Haine and S.A. Fomin, Appl. Math. Model. 40(4), 2016, [doi, arxiv]
8. On a nonlocal extension of differentiation
J. Math. Anal. Appl. 440(2), 2016, [doi, arxiv]
7. Numerical computation of wave breaking times
SIURO 8, 2015, [doi and full text]
6. Linear long wave propagation over discontinuous submerged shallow water topography
with Y. Sheng, M. Golbek, T. Hartland, P. Gerrodette, S.A. Fomin, and V. Chugunov. Appl. Math. Comput. 252, 2015, [doi]
5. Influence of underwater barriers on the distribution of tsunami waves
with V. Chugunov and S.A. Fomin, J. Geophys. Res. Oceans 119(11), 2014, [doi]
4. Tsunami wave propagation over an underwater obstacle
with V. Chugunov and S.A. Fomin, 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics 2014, [doi]
3. Rimming flow of a weakly elastic fluid
with S.A. Fomin, N. Danes, and V. Chugunov, Theoret. Comput. Fluid. Dyn. 28, 2014, [doi]
2. Non-Newtonian rimming flow: stability analysis
with S.A. Fomin, P. Haine, and A. Gartrell, 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics 2014, [doi]
Reactive rimming flow of non-Newtonian fluids
with S.A. Fomin, A. Mazurenko, V. Chugunov, Appl. Math. Comput. 219(14), 2013, [doi]