2022
Green's function of heat equation for heterogeneous media in 3-D, to appear in Comm. Partial Differential Equations.
2020
On weak solutions to a dissipative Baer–Nunziato-type system for a mixture of two compressible heat conducting gases, Mathematical Models and Methods in Applied Sciences, 30(8), (2020), 1517-1553
2019
Rigorous asymptotic models of water waves, Water Waves, 1(1), (2019), 71—130.
2017
Solvability and regularity for an elliptic system prescribing the curl, divergence, and partial trace of a vector field on Sobolev-class domains, J. Math Fluid. Mech., 19(3), (2017), 375-422.
2016
Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equations on the upper half plane, DCDS-B, 21(3), (2016).
The well-posedness of the Muskat equations in the H^2 solution space, Adv. Math., 286, (2016), 32--104.
2014
Global existence and decay for solutions of the Hele-Shaw flow with injection, Interfaces and Free Boundaries, 16(3), (2014), 297-338.
2010
The interaction of the 3d Navier-Stokes equations with a moving nonlinear Koiter elastic shell, SIAM J. Math. Anal., 42, (2010), 1094--1155.
On the limit as the density ratio tends to zero for two perfect incompressible 2-D/3-D fluids separated by a surface of discontinuity, Comm. Partial Differential Equations, 35, (2010), 817--845.
2008
On the motion of vortex sheets with surface tension in the 3D Euler equations with vorticity, Comm. Pure Appl. Math., 61(12), (2008), 1715--1752.
A liquid-crystal model for friction, Proc. Natl. Acad. Sci. USA, 105, (2008), 7930--7935.
2007
Navier-Stokes equations interacting with a nonlinear elastic biofluid shell, SIAM J. Math. Anal., 39, (2007), 742--800.