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- Seiji Ukai

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
4,452
84
World Ranking
2572
National Ranking
44

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

His main research concerns Mathematical analysis, Boltzmann equation, Compressibility, Initial value problem and Sobolev space. The Mathematical analysis study combines topics in areas such as Hyperbolic systems and Nonlinear system. The concepts of his Nonlinear system study are interwoven with issues in Singularity, Norm, Thermodynamic equilibrium and Dissipation.

His Boltzmann equation study integrates concerns from other disciplines, such as Cauchy problem and Lattice Boltzmann methods. His studies in Compressibility integrate themes in fields like Bounded function, Perturbation, Limit and Euler equations. His work carried out in the field of Initial value problem brings together such families of science as Mathematical theory, Boltzmann constant, Exponential stability, Cutoff and Operator.

- On the existence of global solutions of mixed problem for non-linear Boltzmann equation (276 citations)
- Sur la solution à support compact de l’equation d’Euler compressible (172 citations)
- OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES (161 citations)

Seiji Ukai spends much of his time researching Mathematical analysis, Boltzmann equation, Initial value problem, Cutoff and Sobolev space. Seiji Ukai interconnects Compressibility and Nonlinear system in the investigation of issues within Mathematical analysis. His studies deal with areas such as Convection–diffusion equation, Boltzmann constant, Singularity, Uniqueness and Lattice Boltzmann methods as well as Boltzmann equation.

The study incorporates disciplines such as Mathematical theory and Function space in addition to Initial value problem. His Cutoff research includes themes of Variable and Regularization. His Sobolev space research focuses on Perturbation and how it relates to Compressible navier stokes equations.

- Mathematical analysis (78.31%)
- Boltzmann equation (57.83%)
- Initial value problem (27.71%)

- Boltzmann equation (57.83%)
- Mathematical analysis (78.31%)
- Cutoff (25.30%)

His scientific interests lie mostly in Boltzmann equation, Mathematical analysis, Cutoff, Sobolev space and Initial value problem. His Boltzmann equation research incorporates themes from Boltzmann constant, Lattice Boltzmann methods, Singularity, Space and Convection–diffusion equation. His biological study deals with issues like Nonlinear system, which deal with fields such as Partial differential equation.

His Cutoff research is multidisciplinary, incorporating perspectives in Weak solution, Regularization and Classical mechanics. His Sobolev space study integrates concerns from other disciplines, such as Energy method and Perturbation. Seiji Ukai combines subjects such as Mathematical theory and Variable with his study of Initial value problem.

- OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES (161 citations)
- Optimal Lp–Lq convergence rates for the compressible Navier–Stokes equations with potential force (115 citations)
- The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential (108 citations)

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

His primary areas of study are Mathematical analysis, Boltzmann equation, Sobolev space, Singularity and Boltzmann constant. His work deals with themes such as Cutoff and Nonlinear system, which intersect with Mathematical analysis. His work in Boltzmann equation addresses subjects such as Uniqueness, which are connected to disciplines such as Regularization.

His work carried out in the field of Sobolev space brings together such families of science as Perturbation, Compressible navier stokes equations, Compressibility, Bounded function and Convection–diffusion equation. His study looks at the relationship between Singularity and topics such as Norm, which overlap with Thermodynamic equilibrium and Dissipation. His Initial value problem course of study focuses on Mathematical theory and Work.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Seiji Ukai.

Proceedings of the Japan Academy **(1974)**

436 Citations

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

Seiji Ukai.

Proceedings of the Japan Academy **(1974)**

436 Citations

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

Tetu Makino;Seiji Ukai;Shuichi Kawashima.

Japan Journal of Applied Mathematics **(1986)**

266 Citations

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

Tetu Makino;Seiji Ukai;Shuichi Kawashima.

Japan Journal of Applied Mathematics **(1986)**

266 Citations

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

Seiji Ukai.

Journal of Mathematics of Kyoto University **(1986)**

242 Citations

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

Seiji Ukai.

Journal of Mathematics of Kyoto University **(1986)**

242 Citations

A solution formula for the Stokes equation in Rn

Seiji Ukai.

Communications on Pure and Applied Mathematics **(1987)**

237 Citations

A solution formula for the Stokes equation in Rn

Seiji Ukai.

Communications on Pure and Applied Mathematics **(1987)**

237 Citations

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

Renjun Duan;Seiji Ukai;Tong Yang;Huijiang Zhao.

Mathematical Models and Methods in Applied Sciences **(2007)**

193 Citations

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

Renjun Duan;Seiji Ukai;Tong Yang;Huijiang Zhao.

Mathematical Models and Methods in Applied Sciences **(2007)**

193 Citations

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