Selected publications of Renjun Duan

· Spectral gap formation to kinetic equations with soft potentials in bounded domain (with Dingqun Deng)

To appear in Communications in Mathematical Physics

· Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition (with Shuangqian Liu, Tong Yang and Zhu Zhang)

To appear in Chinese Annals of Mathematics, Series B

· The Boltzmann equation for plane Couette flow (with Shuangqian Liu and Tong Yang)

To appear in Journal of the European Mathematical Society

· Solutions to the non-cutoff Boltzmann equation in the grazing limit (with Ling-Bing He, Tong Yang, and Yu-Long Zhou)

To appear in Annales de l'Institut Henri Poincare, Analyse Non Lineaire

· Asymptotics toward viscous contact waves for solutions of the Landau equation (with Dongcheng Yang and Hongjun Yu)

Communications in Mathematical Physics, 394 (2022), 471-529.

· On smooth solutions to the thermostated Boltzmann equation with deformation (with Shuangqian Liu)

Communications in Mathematical Analysis and Applications, 1 (2022), no. 1, 152-212.

· Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation (with Wei-Xi Li and Lvqiao Liu)

Advances in Mathematics, 395 (2022), Paper No. 108159.

· The Boltzmann equation for uniform shear flow (with Shuangqian Liu)

Archive for Rational Mechanics and Analysis, 242 (2021), no. 3, 1947-2002.

· Global classical solutions for the Vlasov-Nordstrom-Fokker-Planck system (with Shuangqian Liu and Tong Yang)

SIAM Journal on Mathematical Analysis, 53 (2021), no. 5, 6164-6190.

· A half-space problem on the full Euler-Poisson system (with Haiyan Yin and Changjiang Zhu)

SIAM Journal on Mathematical Analysis, 53 (2021), no. 5, 6094-6121.

· Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains (with Shuangqian Liu)

Transactions of the American Mathematical Society, 374 (2021), no. 11, 7867-7924.

· Small Knudsen rate of convergence to rarefaction wave for the Landau equation (with Dongcheng Yang and Hongjun Yu)

Archive for Rational Mechanics and Analysis, 240 (2021), no. 3, 1535-1592.

· Global mild solutions of the Landau and non-cutoff Boltzmann equations (with Shuangqian Liu, Shota Sakamoto and Robert M. Strain)

Communications on Pure and Applied Mathematics, 74 (2021), no. 5, 932-1020.

· The Vlasov-Poisson-Landau system near a local Maxwellian (with Hongjun Yu)

Advances in Mathematics, 362 (2020), 106956, 83 pp.

· Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas (with Feimin Huang, Yong Wang, and Zhu Zhang)

Archive for Rational Mechanics and Analysis, 234 (2019), no. 2, 925-1006.

· The Boltzmann equation with large-amplitude initial data in bounded domains (with Yong Wang)

Advances in Mathematics, 343 (2019), 36-109.

· Solution to the Boltzmann equation in velocity-weighted Chemin-Lerner type spaces (with Shota Sakamoto)

Kinetic and Related Models, 11 (2018), no. 6, 1301-1331.

· New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation (with Yoshihiro Ueda and Shuichi Kawashima)

Journal of Hyperbolic Differential Equations, 15 (2018), no. 1, 149-174.

· The Vlasov-Poisson-Boltzmann System for a disparate mass binary mixture (with Shuangqian Liu)

Journal of Statistical Physics, 169 (2017), no. 3, 614-684.

· Decay structure of two hyperbolic relaxation models with regularity-loss (with Yoshihiro Ueda and Shuichi Kawashima)

Kyoto Journal of Mathematics, 57 (2017), no. 2, 235-292.

· The relativistic Boltzmann equation for soft potentials (with Hongjun Yu)

Advances in Mathematics, 312 (2017), 315-373.

· Global well-posedness of the Boltzmann equation with large amplitude initial data (with Feimin Huang, Yong Wang and Tong Yang)

Archive for Rational Mechanics and Analysis, 225 (2017), no. 1, 375-424.

· The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials (with Yuanjie Lei, Tong Yang, and Hui-Jiang Zhao)

Communications in Mathematical Physics, 351 (2017), no. 1, 95-153.

· Global well-posedness in spatially critical Besov space for the Boltzmann equation (with Shuangqian Liu and Jiang Xu)

Archive for Rational Mechanics and Analysis, 220 (2016), no. 2, 711-745.

· Stability of the rarefaction wave of the Vlasov-Poisson-Boltzmann system (with Shuangqian Liu)

SIAM Journal on Mathematical Analysis, 47 (2015), no. 5, 3585-3647.

· Darcy's law and diffusion for a two-fluid Euler-Maxwell system with dissipation (with Qingqing Liu and Changjiang Zhu)

Mathematical Models and Methods in Applied Sciences, 25 (2015), 2089-2151.

· On the Cauchy problem for the two-component Euler-Poincare equations (with Zhaoyin Xiang)

Journal of Functional Analysis, 267 (2014), no. 8, 2698-2730.

· Global smooth dynamics of a fully ionized plasma with long-range collisions

Annales de l'Institut Henri Poincare -Analyse non lineaire, 31 (2014), no. 4, 751-778.

· The Vlasov-Poisson-Boltzmann system without angular cutoff (with Shuangqian Liu)

Communications in Mathematical Physics, 324 (2013), no. 1, 1-45.

· The Vlasov-Poisson-Boltzmann system for soft potentials (with Tong Yang and Hui-Jiang Zhao)

Mathematical Models and Methods in Applied Sciences, 23 (2013), no. 6, 979-1028.

· Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials (with Shuangqian Liu, Tong Yang and Hui-Jiang Zhao)

Kinetic and Related Models, 6 (2013), no. 1, 159-204.

· Hypocoercivity for the linear Boltzmann equation with confining forces (with Wei-Xi Li)

Journal of Statistical Physics, 148 (2012), no. 2, 306-324.

· Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application (with Yoshihiro Ueda and Shuichi Kawashima)

Archive for Rational Mechanics and Analysis, 205 (2012), no. 1, 239-266.

· Optimal decay rates to conservation laws with diffusion-type terms of regularity-gain and regularity-loss (with Lizhi Ruan and Changjiang Zhu)

Mathematical Models and Methods in Applied Sciences, 22 (2012), no. 7, 1250012.

· The Vlasov-Poisson-Boltzmann system in the whole space: the hard potential case (with Tong Yang and Hui-Jiang Zhao)

Journal of Differential Equations, 252 (2012), no. 12, 6356-6386.

· Green's function and large time behavior of the Navier-Stokes-Maxwell system

Analysis and Applications, 10 (2012), no. 2, 133-197.

· Dissipative property of the Vlasov-Maxwell-Boltzmann system with a uniform ionic background

SIAM Journal on Mathematical Analysis, 43 (2011), no. 6, 2732-2757.

· Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space (with Robert M. Strain)

Communications on Pure and Applied Mathematics, 64 (2011), no. 11, 1497-1546.

· Hypocoercivity of the linearized dissipative kinetic equations

Nonlinearity, 24 (2011), no. 8, 2165-2189.

· Global smooth flows for the compressible Euler-Maxwell system: Relaxation case

Journal of Hyperbolic Differential Equations, 8 (2011), no. 2, 375-413.

· Global classical solutions close to equilibrium to the Vlasov-Euler-Fokker-Planck system (with Jose Carrillo and Ayman Moussa)

Kinetic and Related Models, 4 (2011), no. 1, 227-258.

· Optimal time decay of the Vlasov-Poisson-Boltzmann system in R^3 (with Robert M. Strain)

Archive for Rational Mechanics and Analysis, 199 (2011), no. 1, 291-328.

· Global solutions to the coupled chemotaxis-fluid equations (with Alexander Lorz and Peter Markowich)

Communications in Partial Differential Equations, 35 (2010), no. 9, 1635-1673.

· A kinetic flocking model with diffusions (with Massimo Fornasier and Giuseppe Toscani)

Communications in Mathematical Physics, 300 (2010), no. 1, 95-145.

· Energy method for multi-dimensional balance laws with non-local dissipation (with Klemens Fellner and Changjiang Zhu)

Journal Mathematiques Pures Appliquees, 93 (2010), no. 6, 572-598.

· Stability of the Boltzmann equation with potential forces on torus

Physica D: Nonlinear Phenomena, 238 (2009), 1808-1820.

· Global existence and convergence rates for the 3-D compressible Navier-Stokes equations without heat conductivity (with Hongfang Ma)

Indiana University Mathematics Journal, 57 (2008), no. 5, 2299-2320.

· Optimal decay estimates on the linearized Boltzmann equation with time-dependent forces and their applications (with Seiji Ukai, Tong Yang and Huijiang Zhao)

Communications in Mathematical Physics, 277 (2008), no. 1, 189-236.

· Optimal $L^p$-$L^q$ Convergence rates for the Navier-Stokes equations with potential force (with Hongxia Liu, Seiji Ukai and Tong Yang)

Journal of Differential Equations, 238 (2007), no. 1, 220-233.

· Optimal convergence rates for the compressible Navier-Stokes equations with potential forces (with Seiji Ukai, Tong Yang and Huijiang Zhao)

Mathematical Models and Methods in Applied Sciences, 17 (2007), No. 5, 737-758.