# Jian-Guo Liu

- Professor of Physics
- Professor of Mathematics (Joint)

**External address:**285 Physics Bldg, Durham, NC 27708

**Internal office address:**Box 90320, Durham, NC 27708-0320

**Phone:**(919) 660-2500

Chen, J, Liu, J-G, and Zhou, Z. "On a Schrödinger--Landau--Lifshitz System: Variational Structure and Numerical Methods." *Multiscale Modeling & Simulation* 14.4 (January 2016): 1463-1487.
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Liu, J-G, and Xu, X. "Existence Theorems for a Multidimensional Crystal Surface Model." *SIAM Journal on Mathematical Analysis* 48.6 (January 2016): 3667-3687.
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Xue, Y, Wang, C, and Liu, J-G. "Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis." *Journal of Scientific Computing* 65.3 (December 2015): 1189-1216.
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Chertock, A, Liu, J-G, and Pendleton, T. "Elastic collisions among peakon solutions for the Camassa–Holm equation." *Applied Numerical Mathematics* 93 (July 2015): 30-46.
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Degond, P, Frouvelle, A, and Liu, J-G. "Phase Transitions, Hysteresis, and Hyperbolicity for Self-Organized Alignment Dynamics." *Archive for Rational Mechanics and Analysis* 216.1 (April 2015): 63-115.
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Lu, J, Liu, J-G, and Margetis, D. "Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions." *Physical review. E, Statistical, nonlinear, and soft matter physics* 91.3 (March 4, 2015): 032403-.
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Degond, P, Frouvelle, A, and Liu, JG. "Phase Transitions, Hysteresis, and Hyperbolicity for Self-Organized Alignment Dynamics." *Archive for Rational Mechanics and Analysis* 216.1 (January 1, 2015): 63-115.
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Chertock, A, Liu, JG, and Pendleton, T. "Elastic collisions among peakon solutions for the Camassa-Holm equation." *Applied Numerical Mathematics* 93 (January 1, 2015): 30-46.
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Herschlag, G, Liu, J-G, and Layton, AT. "An Exact Solution for Stokes Flow in a Channel with Arbitrarily Large Wall Permeability." *SIAM Journal on Applied Mathematics* 75.5 (January 2015): 2246-2267.
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Coquel, F, Jin, S, Liu, J-G, and Wang, L. "Well-Posedness and Singular Limit of a Semilinear Hyperbolic Relaxation System with a Two-Scale Discontinuous Relaxation Rate." *Archive for Rational Mechanics and Analysis* 214.3 (December 2014): 1051-1084.
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