S. Ukai

Applied Mathematics · with Yang · 2006–2010

A researcher in the Science corpus: 7 papers; trusts 9 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 34 citations into it; #3,166 of 7,620 by trust here, #1,710 by citations
• Mathematical Physics — 19 citations into it; #3,888 of 8,562 by trust here, #1,895 by citations
• Computational Mechanics — 10 citations into it
• Atomic and Molecular Physics, and Optics — 6 citations into it

Whom S. Ukai trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Yan Guo
2. Radjesvarane Alexandre
3. Clément Mouhot
4. Laurent Desvillettes
5. Tai-Ping Liu
6. Cédric Villani
7. Raphaël Danchin
8. Tong Yang
9. Yemin Chen
10. Robert M. Strain

Who trusts S. Ukai overall

1. Renjun Duan
2. Hai-liang Li
3. C. Imbert
4. Akitaka Matsumura
5. Philip T. Gressman

Papers from S. Ukai's perspective

Ordered by how strongly the researchers S. Ukai trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Landau Equation in a Periodic Box
2. On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
3. Exponential Decay for Soft Potentials near Maxwellian
4. Energy method for Boltzmann equation
5. The Boltzmann equation in the whole space
6. Entropy Dissipation and Long-Range Interactions
7. Smoothing Effects for Classical Solutions of the Full Landau Equation
8. Hypoelliptic Regularity in Kinetic Equations
9. Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators
10. Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles

Their papers

• The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential (2010) — 173 citations
• Time periodic solutions of compressible Navier-Stokes equations (2010) — 56 citations
• Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation (2009) — 159 citations
• Global Existence and Full Regularity of the Boltzmann Equation Without Angular Cutoff (2009) — 136 citations
• Optimal Lp–Lq convergence rates for the compressible Navier–Stokes equations with potential force (2007) — 204 citations
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES (2007) — 242 citations
• CONVERGENCE RATE FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH EXTERNAL FORCE (2006) — 76 citations