S. Ukai

发表

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

Renjun Duan, S. Ukai, Tong Yang, 2007 .

Optimal L p-L q Convergence Rates for the Compressible Navier-Stokes Equations with Potential Force

Renjun Duan, S. Ukai, Tong Yang, 2006 .

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

S. Ukai, 1986 .

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

S. Ukai, Seiji Ukai, T. Okabe, 1978 .

GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION WITH EXTERNAL FORCES

Tong Yang, S. Ukai, Tong Yang, 2005 .

Solutions of the Boltzmann Equation

S. Ukai, 1986 .

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

S. Ukai, 1984 .

On the Vlasov-Poisson Limit of the Vlasov-Maxwell Equation

S. Ukai, K. Asano, 1985 .

Eigenvalue Spectrum of the Neutron Transport Operator for a Fast Multiplying System

S. Ukai, T. Hiraoka, 1972 .

Measurement of Migration Area and Multiplication Factor of UO2-H2O Lattice

S. Ukai, T. Hoshino, S. Takeda, 1965 .

A GENERALIZED ANALYSIS OF ROSSI-$alpha$ EXPERIMENT

S. Ukai, S. Takeda, Shusaku Yamada, 1965 .

A Generalized Analysis of Rossi-α Experiment

S. Ukai, S. Takeda, Shusaku Yamada, 1965 .

Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff : non Maxwellian molecule type (Mathematical Analysis in Fluid and Gas Dynamics)

Yoshinori Morimoto, Tong Yang, S. Ukai, 2008 .

Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff

S. Ukai, Y. Morimoto, 2010 .

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

S. Ukai, K. Asano, 1982 .

Nonlinear Boundary Layers of the Boltzmann Equation

Tong Tang, Shih-Hsien Yu, S. Ukai, 2002 .

On the Existence o f Global Solutions o f Mixed Problem for Nonlinear Boltzmann Equation

S. Ukai, 2006 .

Steady solutions of the Boltzmann equation for a gas flow past an obstacle, I. Existence

S. Ukai, K. Asano, 1983 .

Solution of monoenergetic neutron transport equation for a finite slab by Laplace transformation

S. Ukai, 1969 .

Existence of local solutions for the Boltzmann equation without angular cutoff

Chao-Jiang Xu, S. Ukai, Tong Yang, 2009 .

On the Singular Limits of the Boltzmann Equation(Mathematical Fluid Mechanics and Modeling)

S. Ukai, 1994 .

for a Gas Flow an II. Dedicated to Professor Mizohata on his 60th anniversary

S. Ukai, K. Asano, 1986 .

On the initial boundary value problem of the linearized Boltzmann equation in an exterior domain

S. Ukai, K. Asano, 1980 .

On the Fluid Dynamical Limit of the Boltzmann Equation

S. Ukai, K. Asano, 1984 .

Local smooth solutions of the relativistic Euler equation. II.

S. Ukai, T. Makino, 1995 .

Nonlinear Stability of Boundary Layers of the Boltzmann Equation, I. The case M∞<−1

S. Ukai, Tong Yang, Shih-Hsien Yu, 2004 .

Global weak solutions of the compressible Euler equation with spherical symmetry (II)

S. Ukai, T. Makino, Kiyoshi Mizohata, 1993 .

The global weak solutions of compressible Euler equation with spherical symmetry

S. Ukai, T. Makino, Kiyoshi Mizohata, 1992 .

Solution of Multi-Dimensional Neutron Transport Equation by Finite Element Method

S. Ukai, 1972 .

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

S. Ukai, Seiji Ukai, 1974 .

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

S. Ukai, S. Kawashima, Tetu Makino, 1986 .

Local existence with mild regularity for the Boltzmann equation

Chao-Jiang Xu, S. Ukai, Tong Yang, 2013 .

Global Existence and Full Regularity of the Boltzmann Equation Without Angular Cutoff

Chao-Jiang Xu, S. Ukai, Tong Yang, 2009, 0912.1426.

Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff

Chao-Jiang Xu, S. Ukai, Tong Yang, 2011, 1104.5648.

Non-relativistic global limits of weak solutions of the relativistic Euler equation

S. Ukai, Lu Min, 1998 .

Local smooth solutions of the relativistic Euler equation

S. Ukai, T. Makino, 1995 .

A symmetrization of the relativistic Euler equations in several spatial variables

S. Ukai, P. LeFloch, 2008, 0812.4001.

Stationary Solutions of the Boltzmann Equation

S. Ukai, K. Asano, 1983 .

ON THE SCRAMBLED SET OF THE LOGISTIC MAP WITH DIFFUSION

S. Ukai, Akihiko Itaya, 2000 .

Time periodic solutions of compressible Navier-Stokes equations

S. Ukai, Tong Yang, Hongfang Ma, 2010 .

The Boltzmann Equation Without Angular Cutoff in the Whole Space: Qualitative Properties of Solutions

Chao-Jiang Xu, S. Ukai, Tong Yang, 2010, 1008.3442.

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

Chao-Jiang Xu, S. Ukai, Tong Yang, 2010, 1007.0304.

The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential

Chao-Jiang Xu, S. Ukai, Tong Yang, 2010, 1005.0447.

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

Chao-Jiang Xu, S. Ukai, Tong Yang, 2009, 0909.1229.

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

Claude Bardos, S. Ukai, C. Bardos, 1991 .

Nonlinear Boundary Layers of the Boltzmann Equation: I. Existence

S. Ukai, Tong Yang, Shih-Hsien Yu, 2003 .

The Global Weak Solutions of the Compressible Euler Equation with Spherical Symmetry(Evolution Equations and Nonlinear Problems)

S. Ukai, T. Makino, Kiyoshi Mizohata, 1992 .

Loss of regularity for super-critical nonlinear Schrödinger equations

S. Ukai, R. Carles, T. Makino, 2008 .

Asymptotic Distribution of Eigenvalues of the Kernel in the Kirkwood‐Riseman Integral Equation

S. Ukai, 1971 .

The global existence of small amplitude solutions to the nonlinear acoustic wave equation

S. Ukai, Kiyoshi Mizohata, 1993 .

The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem

S. Ukai, 2001 .

Asymptotic Analysis of Fluid Equations

S. Ukai, 2006 .

Bounded Solutions of the Boltzmann Equation in the Whole Space

Chao-Jiang Xu, S. Ukai, Tong Yang, 2010, 1010.5590.

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

Yoshinori Morimoto, Chao-Jiang Xu, Tong Yang, 2009 .

Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential

Chao-Jiang Xu, S. Ukai, Tong Yang, 2011 .

The Boltzmann equation without angular cutoff in the whole space: I, an essential coercivity estimate

Chao-Jiang Xu, S. Ukai, Tong Yang, 2010 .

Uncertainty principle and kinetic equations

Chao-Jiang Xu, S. Ukai, Tong Yang, 2008 .

The Boltzmann equation without angular cutoff

S. Ukai, Y. Morimoto, 2017 .

Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff

Chao-Jiang Xu, S. Ukai, Tong Yang, 2010 .

Regularity of solutions for the Boltzmann equation without angular cutoff

Chao-Jiang Xu, S. Ukai, Tong Yang, 2009 .

THE BOLTZMANN EQUATION IN THE SPACE $L^2\cap L^\infty_\beta$: GLOBAL AND TIME-PERIODIC SOLUTIONS

S. Ukai, Tong Yang, 2006 .

Conditions of Fast Multiplying Systems for Existence of the Time Eigenvalue of the Fundamental Mode

S. Ukai, T. Hiraoka, 1973 .

The Boltzmann equation without angular cutoff. Global existence and full regularity of the Boltzmann equation without angular cutoff. Part I : Maxwellian case and small singularity.

Chao-Jiang Xu, S. Ukai, Tong Yang, 2009 .

Regularizing eect and local existence for non-cuto Boltzmann equation

Chao-Jiang Xu, S. Ukai, Radjesvarane Alexandre, 2009 .

Stationary solutions of the BGK model equation on a finite interval with large boundary data

S. Ukai, 1992 .

Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence

S. Ukai, Tong Yang, Huijiang Zhao, 2008 .

The Euler limit and initial layer of the nonlinear Boltzmann equation

Kiyoshi Asano, S. Ukai, K. Asano, 1983 .

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

Renjun Duan, S. Ukai, Tong Yang, 2007 .

Time-periodic solutions of the Boltzmann equation

S. Ukai, 2005 .

Global Solutions of the Boltzmann Equation with the External Force (Mathematical Analysis in Fluid and Gas Dynamics)

S. Ukai, Tong Yang, Huijiang Zhao, 2005 .

Convergence Rate to Stationary Solutions for Boltzmann Equation with External Force*

S. Ukai, Tong Yang, Huijiang Zhao, 2006 .

Chapter 5 - Stationary Problem of Boltzmann Equation

S. Ukai, Tong Yang, 2008 .

ON THE HALF–SPACE PROBLEM FOR THE DISCRETE VELOCITY MODEL OF THE BOLTZMANN EQUATION

S. Ukai, 1998 .

A combination of energy method and spectral analysis for study of equations of gas motion

Renjun Duan, S. Ukai, Tong Yang, 2009 .

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

Renjun Duan, S. Ukai, Tong Yang, 2007 .

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

Renjun Duan, S. Ukai, Tong Yang, 2007 .

A solution formula for the Stokes equation in Rn

S. Ukai, Seiji Ukai, 1987 .

CONVERGENCE RATE FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH EXTERNAL FORCE

Huijiang Zhao, Tong Yang, S. Ukai, 2006 .

Eigenvalues of the neutron transport operator for a homogeneous finite moderator

S. Ukai, 1967 .

On the Initial-Value Problem of the Transport Equation for a Moderator Slab

S. Ukai, 1966 .

Real Eigenvalues of the Monoenergetic Transport Operator for a Homogeneous Medium

S. Ukai, 1966 .