Nathan Totz

Assistant Professor

  • 49 Citations
20122018
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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

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Research Output 2012 2018

  • 49 Citations
  • 5 Article
3 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 journalArticle

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 journalArticle

Global Well-posedness
Nonlinear equations
Modulation
Wave packets
Nonlinear Equations
10 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 journalArticle

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 journalArticle

Hypoellipticity
Degenerate Elliptic Operators
Kernel Estimate
Weighted Inequalities
Sobolev Inequality
34 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 journalArticle

Sobolev space
water waves
Water Waves
Justification
Sobolev Spaces