Seiji Ukai

Overview

Best Publications

• On the existence of global solutions of mixed problem for non-linear Boltzmann equation

  Seiji Ukai

  465
  Citations

• Sur la solution à support compact de l’equation d’Euler compressible

  Tetu Makino;Seiji Ukai;Shuichi Kawashima

  285
  Citations

• The incompressible limit and the initial layer of the compressible Euler equation

  Seiji Ukai

  265
  Citations

• A solution formula for the Stokes equation in Rn

  Seiji Ukai

  250
  Citations

• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES

  Renjun Duan;Seiji Ukai;Tong Yang;Huijiang Zhao

  249
  Citations

• THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION

  Claude Bardos;Seiji Ukai

  211
  Citations

• On classical solutions in the large in time of two-dimensional Vlasov's equation

  Unknown

  200
  Citations

• Solutions of the Boltzmann Equation

  Seiji Ukai

  198
  Citations

• Optimal Lp–Lq convergence rates for the compressible Navier–Stokes equations with potential force

  Renjun Duan;Hongxia Liu;Seiji Ukai;Tong Yang

  191
  Citations

• The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential

  Radjesvarane Alexandre;Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu

  171
  Citations

• Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation

  Radjesvarane Alexandre;Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu;Chao-Jiang Xu

  157
  Citations

• On the Cauchy Problem of the Boltzmann Equation with a Soft Potential

  Seiji Ukai;Kiyoshi Asano

  151
  Citations

• REGULARITY OF SOLUTIONS TO THE SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF

  Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu;Tong Yang

  145
  Citations

• Global existence and full regularity of the Boltzmann equation without angular cutoff

  Radjesvarane Alexandre;Radjesvarane Alexandre;Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu;Chao-Jiang Xu

  142
  Citations

• Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff

  Seiji Ukai

  129
  Citations

• The Euler limit and initial layer of the nonlinear Boltzmann equation

  Seiji Ukai;Kiyoshi Asano

  112
  Citations

• Optimal Decay Estimates on the Linearized Boltzmann Equation with Time Dependent Force and their Applications

  Renjun Duan;Seiji Ukai;Tong Yang;Huijiang Zhao

  108
  Citations

• The Boltzmann equation without angular cutoff in the whole space : Qualitative properties of solutions

  Radjesvarane Alexandre;Radjesvarane Alexandre;Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu;Chao-Jiang Xu

  108
  Citations

• Nonlinear Boundary Layers of the Boltzmann Equation: I. Existence

  Seiji Ukai;Tong Yang;Shih-Hsien Yu

  107
  Citations

• THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF IN THE WHOLE SPACE: II, GLOBAL EXISTENCE FOR HARD POTENTIAL

  Radjesvarane Alexandre;Radjesvarane Alexandre;Yoshinori Morimoto;Seiji Ukai;Chao-Jiang Xu;Chao-Jiang Xu

  106
  Citations

• Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff

  Zhaohui Huo;Yoshinori Morimoto;Seiji Ukai;Tong Yang

  102
  Citations

• The Classical Incompressible Navier-Stokes Limit of the Boltzmann Equation(Mathematical Analysis of Phenomena in Fluid and Plasma Dynamics)

  Claude Bardos;Seiji Ukai

  0
  Citations