Faculty

Institution

Unit

Venue

Nikolaos Tzirakis

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Nikolaos Tzirakis is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Nikolaos Tzirakis

University of Illinois Urbana-Champaign

Professor

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applied mathematics partial differential equations mathematics differential equations nonlinear analysis nonlinear phenomena boundary value problems nonlinear science nonlinear functional analysis abstract and applied analysis wave nonlinearity integrable systems nonlinear hyperbolic problem geometric analysis spectral theory nonlinear dynamics nonlinear wave propagation nonlinear systems riemann-hilbert problem mathematical analysis elliptic equations mathematical physics physics mathematical sciences nonlinear equations half line numerical mathematics global analysis periodic travelling wave nonlinear dispersive pdes fractional calculus wave motion periodic boundary conditions energy functional energy space global well-posedness statistics statistical methodology kam theory evolution equations oscillation theory potential theory wave theory parabolic equations wave mechanics zakharov system regularity properties linear evolution dispersive pdes physical sciences low regularity data interaction morawetz inequalities gp hierarchy modern physics high energy physics function spaces discrete algorithms computational statistics economic modelling quantum chaos critical phenomena fractional-order systems fractional dynamic attractor linear operators norm (mathematics) hyperbolic conservation laws collapse behaviour discrete modeling bifurcation theory geometric partial differential equation integral geometry wave propagation estimation theory correlation estimates l 2 harmonic analysis rational mechanic

Notable Scholarly Works

Notable Federal Grants

Collaborators

Smoothing Estimates for Weakly Nonlinear Internal Waves in a Rotating Ocean. Zurnal matematiceskoj fiziki analiza geometrii (2024)

M. Burak ErdoğanNikolaos Tzirakis

wave groupwave nonlinearityocean sciencesoceanographynonlinear systemsnonlinear phenomenawave motionocean internal wavenonlinear analysisocean physicsapplied mathematicsphysical oceanographyocean modellingrotating ocean

Well-Posedness for the SchröDinger-Kdv System on the Half-Line. Journal of Mathematical Analysis and Applications (2024)

E. CompaanW. ShinN. Tzirakis

schrödinger-kdv systemnonlinear hyperbolic problemwave nonlinearitynonlinear phenomenanonlinear sciencenonlinear analysisapplied mathematicsintegrable systems

Low Regularity Well–Posedness for Dispersive Equations on Semi–Infinite Intervals. Communications on Pure &amp Applied Analysis (2023)

E. CompaanN. Tzirakis

harmonic analysisfunctional analysisboundary value problemslow regularity well–posednesselliptic equationslow regularitynonlinear functional analysispartial differential equationsdifferential equationsnonlinear smoothingmathematicsapplied mathematics

Sharp Well-Posedness of the Biharmonic SchröDinger Equation in a Quarter Plane. Partial Differential Equations and Applications (2023)

E. CompaanN. Tzirakis

physicsharmonic analysisgeometric analysissharp well-posednessbiharmonic schrödinger equationboundary value problemselliptic equationsnonlinear phenomenapartial differential equationsquarter planedifferential equationsapplied physicswave mechanics

The Fifth Order Kp–II Equation on the Upper Half–Plane. Differential and Integral Equations (2020)

M.B. ErdoğanT.B. GürelN. Tzirakis

upper half–planeabstract and applied analysisnumerical analysisboundary value problemsnonlinear hyperbolic problemelliptic equationsnonlinear partnorm methodapplied mathematicspartial differential equationsdifferential equations

Low-Regularity Global Well-Posedness for the Klein-Gordon-SchröDinger System on Inline-Formula Tex-Math Id="M1" \Begin{Document}$ \Mathbb{R}^+ $\End{Document} /Tex-Math /Inline-Formula. Discrete and Continuous Dynamical Systems (2019)

E. CompaanN. Tzirakis

geometric analysisabstract and applied analysismathematical analysisfunctional analysisboundary value problemspotential theoryhalf linepartial differential equationsspectral theoryapplied mathematicsintegrable systemsregularity theorylow-regularity global well-posednessmathematics

Sharp Well-Posedness for the Generalized Kdv of Order Three on the Half Line. Physica D Nonlinear Phenomena (2019)

E. CompaanN. Tzirakis

geometric analysisriemann-hilbert problemdifferential geometrysharp well-posednessboundary value problemsmathematical sciencesgeneralized kdvhalf linegeometric partial differential equationintegral geometryapplied mathematicsintegrable systemsmathematics

Smoothing for the Fractional Schroedinger Equation on the Torus and the Real Line. Indiana University Mathematics Journal (2019)

M.B. ErdoganT.B. GuerelN. Tzirakis

harmonic analysisboundary value problemsreal linemathematical physicspartial differential equationsfractional schroedinger equationfractional-order systemsquantum mechanicsnonlinear functional analysisnonlinear scienceintegrable systemsordinary differential equationsabstract and applied analysisriemann-hilbert problemnonlinear analysisspectral theoryapplied mathematicsdifferential equationsfractional dynamicnonlinear phenomenafractional calculus

Low-Regularity Global Well-Posedness for the Klein-Gordon-SchröDinger System on $\Mathbb R^{+}$. arXiv (Cornell University) (2018)

E. CompaanN. Tzirakis

geometric analysisabstract and applied analysisfunctional analysisboundary value problemsnonlinear hyperbolic problemnonlinear functional analysispartial differential equationsrough initial dataspectral theorydifferential equationsregularity theorylow-regularity global well-posednessmathematicsapplied mathematics

The Derivative Nonlinear SchröDinger Equation on the Half Line. Annales de l Institut Henri Poincaré C Analyse Non Linéaire (2018)

M.B. ErdoğanT.B. GürelN. Tzirakis

harmonic analysisboundary value problemswave nonlinearityhalf linenonlinear wave propagationnonlinear phenomenanonlinear functional analysisnonlinear sciencenonlinear analysispartial differential equationsintegrable systemsdifferential equationsordinary differential equations

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Nikolaos Tzirakis

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Nikolaos Tzirakis is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Nikolaos Tzirakis

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Smoothing Estimates for Weakly Nonlinear Internal Waves in a Rotating Ocean. Zurnal matematiceskoj fiziki analiza geometrii (2024)

M. Burak ErdoğanNikolaos Tzirakis

Well-Posedness for the SchröDinger-Kdv System on the Half-Line. Journal of Mathematical Analysis and Applications (2024)

E. CompaanW. ShinN. Tzirakis

schrödinger-kdv systemnonlinear hyperbolic problemwave nonlinearitynonlinear phenomenanonlinear sciencenonlinear analysisapplied mathematicsintegrable systems

Low Regularity Well–Posedness for Dispersive Equations on Semi–Infinite Intervals. Communications on Pure &amp Applied Analysis (2023)

E. CompaanN. Tzirakis

Sharp Well-Posedness of the Biharmonic SchröDinger Equation in a Quarter Plane. Partial Differential Equations and Applications (2023)

E. CompaanN. Tzirakis

The Fifth Order Kp–II Equation on the Upper Half–Plane. Differential and Integral Equations (2020)

M.B. ErdoğanT.B. GürelN. Tzirakis

E. CompaanN. Tzirakis

Sharp Well-Posedness for the Generalized Kdv of Order Three on the Half Line. Physica D Nonlinear Phenomena (2019)

E. CompaanN. Tzirakis

Smoothing for the Fractional Schroedinger Equation on the Torus and the Real Line. Indiana University Mathematics Journal (2019)

M.B. ErdoganT.B. GuerelN. Tzirakis

Low-Regularity Global Well-Posedness for the Klein-Gordon-SchröDinger System on $\Mathbb R^{+}$. arXiv (Cornell University) (2018)

E. CompaanN. Tzirakis

The Derivative Nonlinear SchröDinger Equation on the Half Line. Annales de l Institut Henri Poincaré C Analyse Non Linéaire (2018)

M.B. ErdoğanT.B. GürelN. Tzirakis

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nonlinear dynamic

M. Burak Erdoğan

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dispersive pde

nonlinear analysis

Vera Mikyoung Hur

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ocean engineering

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Jalal M. I. Shatah

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New York University

nonlinear hyperbolic problem

hyperbolic equation

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mathematical physics

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