Robert M. Strain |
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Downloadable Publications (last updated Feb. 2012) |
The Vlasov-Poisson-Landau System in $\R^3_x$, with Keya Zhu
Submitted, 50 pages, 2012 (arXiv:1202.2471v1) |
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| Uniform $L^1$-stability of the relativistic Boltzmann equation near vacuum,
with Seung-Yeal Ha and Eunhee Jeong.
Communications on Pure and Applied Analysis, 22 pages, 2011 |
| A non-local inequality and global existence,
with
Philip T. Gressman
and
Joachim Krieger.
Adv. Math., in press, 8 pages, 2012. (arXiv:1202.4088v1)
doi: 10.1016/j.aim.2012.02.017
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Large-Time Decay of the Soft Potential relativistic
Boltzmann equation in $\R^3_x$, with Keya Zhu
Kinetic and Related Models, 2012, in press, 34 pages. (arXiv:1106.1579v1) |
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On partial regularity of steady-state solutions to the 6D Navier-Stokes equations, with Hongjie Dong
Submitted, 18 pages, 2011 |
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Optimal time decay of the non cut-off Boltzmann equation in the whole space
Submitted, 30 pages, 2010 |
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| Global solutions to a non-local diffusion equation with quadratic non-linearity,
with Joachim Krieger,
Comm. P.D.E. in press, 35 pages, 2010.
doi: 10.1080/03605302.2011.6434378
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| Momentum Regularity and
Stability of the Relativistic Vlasov-Maxwell-Boltzmann System, with Yan Guo,
Comm. Math. Phys. in press, 21 pages, 2010.
doi: 10.1007/s00220-012-1417-z |
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On the global existence for the Muskat problem,
with
Peter Constantin,
Diego Córdoba,
and
Francisco Gancedo.
J. Eur. Math. Soc. in press, 31 pages, 2010 |
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Optimal Large-Time Behavior of the Vlasov-Maxwell-Boltzmann System in the Whole Space,
with
Renjun Duan.
Commun. Pure Appl. Math
64 (2011), no. 11, 1497--1546.
doi: 10.1002/cpa.20381
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Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production,
with
Philip T. Gressman.
Adv. Math.
227 (2011),
no. 6,
2349-2384.
doi: 10.1016/j.aim.2011.05.005 |
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Hilbert Expansion from the Boltzmann equation to relativistic Fluids,
with
Jared Speck
Comm. Math. Phys.304 (2011),
no. 1,
229-280.
doi: 10.1007/s00220-011-1207-z |
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Global Classical Solutions of the Boltzmann Equation without Angular Cut-off,
with
Philip T. Gressman
J. Amer. Math. Soc. 24 (2011), no. 3, 771-847.
doi: 10.1090/S0894-0347-2011-00697-8 |
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Coordinates in the relativistic Boltzmann theory
Kinetic and Related Models Vol. 4, March 2011, No. 1, 345-359,
special issue. doi: 10.3934/krm.2011.4.345 |
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Optimal Time Decay of the Vlasov-Poisson-Boltzmann System in $\R^3$,
with
Renjun Duan
Arch. Ration. Mech. Anal.199 (2011), no. 1, 291-328.
doi: 10.1007/s00205-010-0318-6 |
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Asymptotic Stability of the Relativistic Boltzmann Equation for the Soft Potentials
Comm. Math. Phys.300 (2010),
no. 2,
529-597. doi: 10.1007/s00220-010-1129-1 |
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Global Classical solutions of the Boltzmann equation with Long-Range interactions,
with
Philip T. Gressman
Proc. Nat. Acad. Sci. U. S. A.
March 30, 2010;
107 (13), 5744-5749.
doi: 10.1073/pnas.1001185107 |
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Global Newtonian limit for the Relativistic Boltzmann Equation near Vacuum
SIAM J. Math. Anal.,42, Issue 4, pp. 1568-1601 (2010) doi: 10.1137/090762695 |
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Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations II, with
Chiun-Chuan Chen, Tai-Peng Tsai, and
Horng-Tzer Yau
Comm. P.D.E. 34 (2009), no. 3, 203 - 232.
doi: 10.1080/03605300902793956 |
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Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations, with
Chiun-Chuan Chen, Tai-Peng Tsai, and
Horng-Tzer Yau
Int. Math. Res. Not., (2008) Vol. 2008 published on March 14, 2008 .
doi: 10.1093/imrn/rnn016 |
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Exponential Decay for Soft Potentials Near Maxwellian, with Yan Guo
Arch. Ration. Mech. Anal.187 (2008), no. 2, 287-339.
doi: 10.1007/s00205-007-0067-3
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Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff, with Clément Mouhot
J. Math. Pures Appl. 87 (2007),
no. 5, 515-535.
doi: 10.1016/j.matpur.2007.03.003
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On the Linearized Balescu-Lenard Equation
Comm. P.D.E. 32 (2007),
no. 10, 1551-1586.
doi: 10.1080/03605300601088609 |
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The Vlasov-Maxwell-Boltzmann System in the Whole Space
Comm. Math. Phys. 268 (2006),
no. 2, 543-567.
doi: 10.1007/s00220-006-0109-y |
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Almost Exponential Decay Near Maxwellian, with Yan Guo
Comm. P.D.E. 31 (2006),
no. 3, 417-429 |
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Some Applications of an Energy Method in Collisional Kinetic Theory,
Phd Thesis, Brown University, Providence RI (2005) |
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Stability of the Relativistic Maxwellian in a Collisional Plasma, with Yan Guo.
Comm. Math. Phys. 251 (2004),
no. 2, 263-320 |
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