H. Kozono

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 19 papers; trusts 12 researchers and is trusted by 55 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 19 citations into it; #318 of 7,620 by trust here, #308 by citations
• Modeling and Simulation — 19 citations into it; #399 of 2,105 by trust here, #453 by citations
• Mathematical Physics — 16 citations into it; #424 of 8,562 by trust here, #360 by citations
• Molecular Biology — 11 citations into it; #4,351 of 17,773 by trust here, #10,695 by citations
• Control and Systems Engineering — 10 citations into it
• Cell Biology — 5 citations into it; #986 of 2,073 by trust here, #1,929 by citations

Whom H. Kozono trusts overall

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

1. Y. Taniuchi
2. Lucilla Corrias
3. Yoshie Sugiyama
4. Herbert Amann
5. Yves Meyer
6. Benoit Perthame
7. Herbert Koch
8. T. Ogawa
9. Dongho Chae
10. T. Rivière

Who trusts H. Kozono overall

1. Dongho Chae
2. P. Lemari'e-Rieusset
3. Michael Winkler
4. Qionglei Chen
5. Sadek Gala
6. Pierre Germain
7. Dong Li
8. Peter Constantin
9. Yong Zhou
10. Nguyen Huong Lam

Papers from H. Kozono's perspective

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

1. Well-posedness for the Navier–Stokes Equations
2. Critical space for the parabolic-parabolic Keller–Segel model in Rd
3. The Keller-Segel system of parabolic-parabolic type with initial data in weak Ln/2(ℝn) and its application to self-similar solutions
4. The parabolic-parabolic Keller-Segel model in R2
5. On the Strong Solvability of the Navier—Stokes Equations
6. Bilinear estimates in BMO and the Navier-Stokes equations
7. Global Solutions of Some Chemotaxis and Angiogenesis Systems in High Space Dimensions
8. Asymptotic profile with the optimal convergence rate for a parabolic equation of chemotaxis in super-critical cases
9. Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system
10. A partial regularity result for a class of Stationary Yang-Mills Fields in high dimension

Their papers

• Existence and uniqueness theorem on mild solutions to the Keller–Segel system coupled with the Navier–Stokes fluid (2016) — 145 citations
• The Keller-Segel system of parabolic-parabolic type with initial data in weak Ln/2(ℝn) and its application to self-similar solutions (2008) — 64 citations
• Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system (2008) — 60 citations
• AnLq-approach to Stokes and Navier-Stokes equations in general domains (2005) — 190 citations
• On the Helmholtz decomposition in general unbounded domains (2007) — 79 citations
• The Stokes problem for Lipschitz domains (2002) — 49 citations
• Remarks on Gagliardo–Nirenberg type inequality with critical Sobolev space and BMO (2008) — 63 citations
• A remark on Liouville-type theorems for the stationary Navier–Stokes equations in three space dimensions (2017) — 118 citations
• $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains (2009) — 133 citations
• Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces (2009) — 56 citations
• Leray’s problem on the stationary Navier–Stokes equations with inhomogeneous boundary data (2009) — 59 citations
• Interior regularity criteria in weak spaces for the Navier-Stokes equations (2004) — 61 citations
• Extension criterion via two-components of vorticity on strong solutions to the 3 D Navier-Stokes equations (2004) — 53 citations
• Bilinear estimates in homogeneous Triebel‐Lizorkin spaces and the Navier‐Stokes equations (2004) — 80 citations
• Upper bound of the best constant of a trudinger-moser inequality and its application to A Gagliardo-Nirenberg inequality (2004) — 103 citations
• NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO (2003) — 134 citations
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations (2002) — 356 citations
• Limiting Case of the Sobolev Inequality in BMO,¶with Application to the Euler Equations (2000) — 247 citations
• Bilinear estimates in BMO and the Navier-Stokes equations (2000) — 312 citations