Fetching the paper…
Reading the bibliography…
We study the pointwise behavior of the linearized Boltzmann equation on torus for non-smooth initial perturbation.
S. Ukai, On the existence of global solutions of mixed problem for non-linear Boltzmann equation, Proc. Japan Acad., 50(1974), 179–84
1974
Earlier work this paper cites.
R. Ellis and M. Pinsky, The first and second fluid approximations to the linearized Boltzmann equation, J. Math. Pure. App., 54(1975), 125–156
1975
Earlier work this paper cites.
S. Ukai, Les solutions globales de léquation de Boltzmann dans léspace tout entier et dans le demi-espace. C. R. Acad. Sci. Paris Ser. A-B 282(1976), Ai, A317–A320
1976
Earlier work this paper cites.
T. Nishida, Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation. Comm. Math. Phys. 61(1978), 119–148
1978
Earlier work this paper cites.
S. Kawashima, A. Matsumura and T. Nishida, On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation. Comm. Math. Phys. 70(1979), 97–124
1979
Earlier work this paper cites.
F. Golse, P.L. Lions, B. Perthame, and R. Sentis, Regularity of the moments of the solution of a transport equation. J. Funct. Anal., 76(1988), 110–125
1988
Earlier work this paper cites.
C. Cercignani, R. Illner and M. Pulvirenti, The mathematical theory of dilute gases. Applied Mathematical Sciences, 106. Springer, New York, 1994
1994
Cited alongside, same era.
F. Bouchut, Hypoelliptic regularity in kinetic equations. J. Math. Pures Appl. 81(2002), 1135–1159
2002
Cited alongside, same era.
Y. Guo, The Landau equation in a periodic box, Comm. Math. Phys. 231(2002), 391–434
2002
Cited alongside, same era.
P.E. Jabin and L. Vega, A real space method for averaging lemmas, J. Math. Pures Appl., 83(2004), 1309–1351
2004
Cited alongside, same era.
T.P. Liu and S.H. Yu, The Green function and large time behavier of solutions for the one-dimensional Boltzmann equation, Commun. Pure App. Math., 57(2004), 1543–1608
2004
Cited alongside, same era.
T.P. Liu and S.H. Yu, Green’s function of Boltzmann equation, 3-D waves, Bull. Inst. Math. Acad. Sin. (N.S.), 1(2006), 1-78
2006
Later among the works it cites.
C. Mouhot, Explicit coercivity estimates for the linearized Boltzmann and Landau operators. Comm. Partial Differential Equations, 31(2006), 1321–1348
2006
Later among the works it cites.
T.P. Liu and S.H. Yu, Initial-boundary value problem for one-dimensional wave solutions of the Boltzmann equation, Comm. Pure Appl. Math., 60 (2007), 295-356
2007
Later among the works it cites.
H.W. Kuo, T.P. Liu and S.E. Noh, Mixture Lemma, Bull. Inst. Math. Acad. Sin. (N.S.), 5(2010), 1-10
2010
Later among the works it cites.
T.P. Liu and S.H. Yu, Solving Boltzmann equation, Part I : Green’s function, Bull. Inst. Math. Acad. Sin. (N.S.), 6(2011), 151-243
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
K.C. Wu, Exponential Time Decay Estimates for the Landau Equation on Torus, preprint
Cited in the paper.