Global Existence of Two-Dimensional Navier—Stokes Flow with Nondecaying Initial Velocity

By Yoshikazu Giga, Shin’ya Matsui, Okihiro Sawada. 2001

114 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8493e5df31e7ac57fdaf293e7222044d91f8505f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Ken Abe
2. Yoshikazu Giga
3. Jürgen Saal
4. T. Iwabuchi
5. Ryo Takada

In Control and Systems Engineering

1. Ken Abe
2. Yoshikazu Giga
3. Jürgen Saal
4. Matthias Hieber

In Mathematical Physics

1. Ken Abe
2. Yoshikazu Giga
3. Jürgen Saal
4. Matthias Hieber

Citations in the corpus

• Analyticity of the Stokes semigroup in spaces of bounded functions (2011, background): “So far L∞-type theory is only established when Ω = R [29], [31] and R+ [56], [7].”
• The L∞-Stokes semigroup in exterior domains (2012, background): “So far, L∞-type theory has been only established when = Rn [25] (see also [27,42]) and Rn + [5,50].”
• Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data (2008, background): “For two dimensional case global existence for arbitrary bounded initial data is known [13] (for local existence, see e.”