Parents

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Joel Alan Smoller grad student 1973 University of Michigan
 (Riemann problem for general 2 x 2 systems of conservation laws)

Children

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Kevin R Zumbrun grad student 1990 NYU
Seung-Yeal Ha grad student 2001 Stanford
Volker W. Elling grad student 2005 Stanford
Alexander Sotirov grad student 2006 Stanford
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Publications

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Liu T, Yu S. (2018) Multi-dimensional Wave Propagation Over a Burgers Shock Profile Archive For Rational Mechanics and Analysis. 229: 231-337
Chen IK, Funagane H, Liu TP, et al. (2016) Singularity of the Velocity Distribution Function in Molecular Velocity Space Communications in Mathematical Physics. 341: 105-134
Liu T, Noh SE. (2015) Wave propagation for the compressible Navier–Stokes equations Journal of Hyperbolic Differential Equations. 12: 385-445
Liu T, Yu S. (2014) Boundary Wave Propagator for Compressible Navier---Stokes Equations Foundations of Computational Mathematics. 14: 1287-1335
Chen I, Liu T, Takata S. (2014) Boundary Singularity for Thermal Transpiration Problem of the Linearized Boltzmann Equation Archive For Rational Mechanics and Analysis. 212: 575-595
Liu TP. (2013) Aspects of dissipation for compressible fluids and kinetic theory. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 371: 20120347
Liu T, Yu S. (2013) Invariant Manifolds for Steady Boltzmann Flows and Applications Archive For Rational Mechanics and Analysis. 209: 869-997
Liu T, Yu S. (2009) Boltzmann equation, boundary effects Discrete and Continuous Dynamical Systems. 24: 145-157
Liu T, Zeng Y. (2009) On Green'S Function For Hyperbolic-Parabolic Systems Acta Mathematica Scientia. 29: 1556-1572
Liu T, Zeng Y. (2009) Time-Asymptotic Behavior of Wave Propagation Around a Viscous Shock Profile Communications in Mathematical Physics. 290: 23-82
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