Igor Kukavica

Applied Mathematics · 2006–2019

A researcher in the Science corpus: 11 papers; trusts 25 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 58 citations into it; #1,264 of 7,620 by trust here, #1,250 by citations
• Mathematical Physics — 41 citations into it; #1,622 of 8,562 by trust here, #1,658 by citations
• Computational Mechanics — 33 citations into it; #6,858 of 10,001 by trust here, #7,501 by citations
• Control and Systems Engineering — 30 citations into it; #2,315 of 8,257 by trust here, #3,004 by citations
• Finance — 13 citations into it
• Computational Theory and Mathematics — 10 citations into it; #9,442 of 12,182 by trust here, #7,851 by citations
• Numerical Analysis — 5 citations into it; #1,231 of 3,586 by trust here, #1,968 by citations

Whom Igor Kukavica trusts overall

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

1. Davdi Gerard-Varet
2. Nader Masmoudi
3. Yasunori Maekawa
4. Vlad Vicol
5. Xiaoming Wang
6. Toan T. Nguyen
7. Jerry L. Bona
8. Peter Constantin
9. Yan Guo
10. Mihaela Ignatova

Who trusts Igor Kukavica overall

1. Nader Masmoudi
2. Jacob Bedrossian
3. Davdi Gerard-Varet
4. Vlad Vicol
5. Helge Dietert
6. Yong Zhou
7. Chongsheng Cao
8. Yasunori Maekawa
9. Peter Constantin
10. Milan Pokorný

Papers from Igor Kukavica's perspective

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

1. A note on Prandtl boundary layers
2. Well-posedness for the Prandtl system without analyticity or monotonicity
3. On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
4. Local‐in‐Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
5. Well-posedness of the Prandtl equation in Sobolev spaces
6. Vorticity and incompressible flow
7. Gevrey stability of Prandtl expansions for 2-dimensional Navier–Stokes flows (Duke mathematical journal)
8. On the ill-posedness of the Prandtl equation
9. On the inviscid limit of the Navier-Stokes equations
10. On the nonlinear instability of Euler and Prandtl equations

Their papers

• On the regularity of the primitive equations of the ocean (2007) — 203 citations
• Existence and Regularity of Invariant Measures for the Three Dimensional Stochastic Primitive Equations (2013) — 77 citations
• The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary (2019) — 55 citations
• On the inviscid limit of the Navier-Stokes equations (2014) — 85 citations
• On the local existence of analytic solutions to the Prandtl boundary layer equations (2013) — 120 citations
• On the regularity for the Boussinesq equations in a bounded domain (2013) — 67 citations
• The Domain of Analyticity of Solutions to the Three-Dimensional Euler Equations in a Half Space (2010) — 48 citations
• On the radius of analyticity of solutions to the three-dimensional Euler equations (2008) — 97 citations
• On partial regularity for the Navier-Stokes equations (2008) — 60 citations
• Navier-Stokes equations with regularity in one direction (2007) — 192 citations
• One component regularity for the Navier–Stokes equations (2006) — 171 citations