# Steve Shkoller

Professor

Partial differential equations

Ph.D., 1995, University of California, San DiegoWeb Page: http://www.math.ucdavis.edu/~shkoller/

Email: shkoller@math.ucdavis.edu

Office: MSB 3101

Current Courses: MAT22B

Office Hours: T 4-5:30, Th 5:30-7

Phone: 530-754-0389

### Research

- Free boundary problems

- Euler equations

- Fluid-structure interaction

### Selected Publications

- Cheng, A., Coutand, D., and S. Shkoller, " On the Motion of Vortex Sheets with Surface Tension in the 3D Euler Equations with Vorticity,"
*Comm. Pure Appl. Math.*, (2007), to appear, Math arXiv.705.0200. - Coutand, D. and S. Shkoller, " Well-posedness of the free-surface incompressible Euler equations with or without surface tension,"
*J. Amer. Math. Soc.*,**20**(3):829-930, 2007, Math arXiv.0511236. - Cheng, A., Coutand, D., and S. Shkoller, " Navier-Stokes equations interacting with a nonlinear elastic biofluid shell,"
*SIAM J. Math. Anal.*,**39**:742-800, 2007. - Coutand, D., and S. Shkoller, " On the interaction between quasilinear elastodynamics and the Navier-Stokes equations,"
*Arch. Rational Mech. Anal.*,**179**(3): 303-352, 2006, Math arXiv.0503431. - Coutand, D., and S. Shkoller, "Motion of an elastic solid inside of an incompressible viscous fluid,"
*Arch. Rational Mech. Anal.*,**176**(1): 25-102, 2005, full text.

*Last updated: 2008-03-11*