Research Output per year

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

Modulation
Mathematics

water waves
Physics & Astronomy

Sobolev Spaces
Mathematics

Wave Packet
Mathematics

Water Waves
Mathematics

Sobolev space
Physics & Astronomy

Justification
Mathematics

Nonlinear Equations
Mathematics

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

## Research Output 2012 2018

- 52 Citations
- 5 Article

4
Citations
(Scopus)

## Global flows with invariant measures for the inviscid modified SQG equations

Nahmod, A. R., Pavlović, N., Staffilani, G. & Totz, N., Jun 1 2018, In : Stochastics and Partial Differential Equations: Analysis and Computations. 6, 2, p. 184-210 27 p.Research output: Contribution to journal › Article

Quasi-geostrophic Equations

Invariant Measure

Sobolev spaces

Sobolev Spaces

Rough

2
Citations
(Scopus)

## Global well-posedness of 2D non-focusing Schrödinger equations via rigorous modulation approximation

Totz, N., Aug 15 2016, In : Journal of Differential Equations. 261, 4, p. 2251-2299 49 p.Research output: Contribution to journal › Article

Global Well-posedness

Nonlinear equations

Modulation

Wave packets

Nonlinear Equations

11
Citations
(Scopus)

## A Justification of the Modulation Approximation to the 3D Full Water Wave Problem

Totz, N., Jan 1 2015, In : Communications in Mathematical Physics. 335, 1, p. 369-443 75 p.Research output: Contribution to journal › Article

Cubic equation

A Priori Bounds

water waves

Group Velocity

Wave Packet

## An Extension of Hörmander’s Hypoellipticity Theorem

Herzog, D. P. & Totz, N., Jan 1 2014, In : Potential Analysis. 42, 2, p. 403-433 31 p.Research output: Contribution to journal › Article

Hypoellipticity

Degenerate Elliptic Operators

Kernel Estimate

Weighted Inequalities

Sobolev Inequality

35
Citations
(Scopus)

## A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem

Totz, N. & Wu, S., Mar 1 2012, In : Communications in Mathematical Physics. 310, 3, p. 817-883 67 p.Research output: Contribution to journal › Article

Sobolev space

water waves

Water Waves

Justification

Sobolev Spaces