Research Output per year

## Personal profile

### External positions

Kansas State University

University of North Carolina-Chapel Hill

## Fingerprint Dive into the research topics where Nathan Pennington is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Global Solution
Mathematics

Navier-Stokes Equations
Mathematics

Regularity
Mathematics

Navier Stokes equations
Engineering & Materials Science

Sobolev spaces
Engineering & Materials Science

Global Existence
Mathematics

Besov Spaces
Mathematics

Fourier multipliers
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 2012 2019

- 13 Citations
- 3 h-Index
- 7 Article

### Global Solutions to the Generalized Leray- α System with Non- L^{2}(R^{n}) Initial Data

Pennington, N., Jan 1 2019, (Accepted/In press) In : Journal of Dynamics and Differential Equations.Research output: Contribution to journal › Article

Global Solution

Navier-Stokes Equations

Fourier multipliers

Generalized Equation

Logarithm

### Low Regularity Global Solutions for a generalized MHD-α system

Pennington, N., Dec 1 2017, In : Nonlinear Analysis: Real World Applications. 38, p. 171-183 13 p.Research output: Contribution to journal › Article

Hydrodynamics

Global Solution

Regularity

Fourier multipliers

Magnetic Fields

4
Citations
(Scopus)

### Global solutions to the generalized Leray-alpha equation with mixed dissipation terms

Pennington, N., May 1 2016, In : Nonlinear Analysis, Theory, Methods and Applications. 136, p. 102-116 15 p.Research output: Contribution to journal › Article

Global Solution

Navier Stokes equations

Dissipation

Sobolev spaces

Term

### Local and global low-regularity solutions to generalized Leray-alpha equations

Pennington, N., Jun 18 2015, In : Electronic Journal of Differential Equations. 2015Research output: Contribution to journal › Article

Navier-Stokes Equations

Regularity

Fourier multipliers

Existence Results

Energy Estimates

3
Citations
(Scopus)

### The Lagrangian Averaged Navier-Stokes equation with rough data in Sobolev spaces

Pennington, N., Jul 1 2013, In : Journal of Mathematical Analysis and Applications. 403, 1, p. 72-88 17 p.Research output: Contribution to journal › Article

Sobolev spaces

Sobolev Spaces

Navier Stokes equations

Rough

Navier-Stokes Equations