Faculty

Institution

Unit

Venue

Mat Johnson

Professor

University of Kansas

Affiliations

College of Liberal Arts & Sciences

Mathematics

Mat Johnson is currently serving as a College Of Liberal Arts & Sciences Professor at University of Kansas.

Honors

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Experiences

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Education

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Mat Johnson

University of Kansas

Professor

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applied mathematics applied physics mathematical physics fluid dynamics physics wave theory stability mathematics nonlinear phenomena differential equations mathematical analysis boundary value problems nonlinear stability wave nonlinearity partial differential equations fluid mechanics periodic travelling wave nonlinear science mathematical sciences wave motion nonlinear wave propagation integrable systems whitham equation modulational instability spectral theory nonlinear analysis nonlinear hyperbolic problem hydrodynamic stability viscous conservation laws spectral stability subharmonic dynamics periodic solutions nonlinear dispersive equations nonlinear dynamics validated numerics stability analysis periodic traveling-wave solutions nonlocalized modulation viscous roll waves transverse instability solitary waves wave trains fractional calculus numerical mathematics numerical algorithms water science wave propagation chaos theory hyperbolic conservation laws vortex dynamics surface tension numerical stability wave group plasma instabilities applied algebra analytic number theory marine hydrodynamics nonlinear equations matrix theory matrix analysis oscillation theory geometric singular perturbation theory nanoscale science water waves small amplitudes

Notable Scholarly Works

Notable Federal Grants

Collaborators

Modulational Instability in the Ostrovsky Equation and Related Models. SIAM Journal on Mathematical Analysis (2024)

None BhavnaMathew A. JohnsonAshish Kumar Pandey

related modelsdynamical systemsapplied mathematicsmodulational instabilityostrovsky equation

Nonlinear Subharmonic Dynamics of Spectrally Stable Lugiato–Lefever Periodic Waves. Communications in Mathematical Physics (2024)

Mariana HaragusMathew A. JohnsonWesley R. PerkinsBjörn de Rijk

wave theoryparticle physicsapplied physicsnonlinear subharmonic dynamics

Orbital Stability of Smooth Solitary Waves for the Novikov Equation. Research Square (2024)

Brett EhrmanMathew JohnsonStephane Lafortune

smooth solitary wavesfluid dynamicsorbital stabilityapplied physicsnovikov equation

Linear Modulational and Subharmonic Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves. Journal of Differential Equations (2021)

Mariana HaragusMathew A. JohnsonWesley R. Perkins

mathematical physicswave theorysubharmonic dynamicsapplied mathematics

Nonlinear Modulational Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves. arXiv (Cornell University) (2021)

Mariana HaragusMathew A. JohnsonWesley R. PerkinsBjörn de Rijk

physicsparticle physicsnonlinear modulational dynamics

Solitary Waves in a Whitham Equation With Small Surface Tension. Studies in Applied Mathematics (2021)

Mathew A. JohnsonTien TruongMiles H. Wheeler

engineeringsmall surface tensionwave theorywhitham equationapplied physicsapplied mathematicsmathematical physicssolitary waves

Stability of Traveling Wave Solutions of Nonlinear Dispersive Equations of Nls Type. Archive for Rational Mechanics and Analysis (2021)

Katelyn Plaisier LeismanJared C. BronskiMathew A. JohnsonRobert Marangell

nonlinear equationsnonlinear phenomenanonlinear dispersive equationswave solutionsnonlinear hyperbolic problemnonlinear sciencewave nonlinearitynls typenonlinear systemsstabilitynonlinear wave propagationboundary value problemsapplied mathematicsintegrable systemsnonlinear analysisdifferential equationsperiodic travelling wave

Subharmonic Dynamics of Wave Trains in Reaction–Diffusion Systems. Physica D Nonlinear Phenomena (2021)

Mathew A. JohnsonWesley R. Perkins

physicsreaction-diffusion systemsbiophysicsfluid dynamicsapplied physicswave trainssubharmonic dynamics

Subharmonic Dynamics of Wave Trains in the Korteweg‐De Vries/Kuramoto‐Sivashinsky Equation. Studies in Applied Mathematics (2021)

Mathew A. JohnsonWesley R. Perkins

wave theoryapplied physicsapplied mathematicsmathematical physicswave trainssubharmonic dynamics

Modulational Instability of Viscous Fluid Conduit Periodic Waves. SIAM Journal on Mathematical Analysis (2020)

Mathew A. JohnsonWesley R. Perkins

mathematical analysismathematicsmodulational instabilityapplied mathematics

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Mat Johnson

Professor

University of Kansas

Affiliations

College of Liberal Arts & Sciences

Mathematics

Mat Johnson is currently serving as a College Of Liberal Arts & Sciences Professor at University of Kansas.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Mat Johnson

University of Kansas

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Modulational Instability in the Ostrovsky Equation and Related Models. SIAM Journal on Mathematical Analysis (2024)

None BhavnaMathew A. JohnsonAshish Kumar Pandey

related modelsdynamical systemsapplied mathematicsmodulational instabilityostrovsky equation

Nonlinear Subharmonic Dynamics of Spectrally Stable Lugiato–Lefever Periodic Waves. Communications in Mathematical Physics (2024)

Mariana HaragusMathew A. JohnsonWesley R. PerkinsBjörn de Rijk

wave theoryparticle physicsapplied physicsnonlinear subharmonic dynamics

Orbital Stability of Smooth Solitary Waves for the Novikov Equation. Research Square (2024)

Brett EhrmanMathew JohnsonStephane Lafortune

smooth solitary wavesfluid dynamicsorbital stabilityapplied physicsnovikov equation

Linear Modulational and Subharmonic Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves. Journal of Differential Equations (2021)

Mariana HaragusMathew A. JohnsonWesley R. Perkins

mathematical physicswave theorysubharmonic dynamicsapplied mathematics

Nonlinear Modulational Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves. arXiv (Cornell University) (2021)

Mariana HaragusMathew A. JohnsonWesley R. PerkinsBjörn de Rijk

physicsparticle physicsnonlinear modulational dynamics

Solitary Waves in a Whitham Equation With Small Surface Tension. Studies in Applied Mathematics (2021)

Mathew A. JohnsonTien TruongMiles H. Wheeler

engineeringsmall surface tensionwave theorywhitham equationapplied physicsapplied mathematicsmathematical physicssolitary waves

Stability of Traveling Wave Solutions of Nonlinear Dispersive Equations of Nls Type. Archive for Rational Mechanics and Analysis (2021)

Katelyn Plaisier LeismanJared C. BronskiMathew A. JohnsonRobert Marangell

Subharmonic Dynamics of Wave Trains in Reaction–Diffusion Systems. Physica D Nonlinear Phenomena (2021)

Mathew A. JohnsonWesley R. Perkins

physicsreaction-diffusion systemsbiophysicsfluid dynamicsapplied physicswave trainssubharmonic dynamics

Subharmonic Dynamics of Wave Trains in the Korteweg‐De Vries/Kuramoto‐Sivashinsky Equation. Studies in Applied Mathematics (2021)

Mathew A. JohnsonWesley R. Perkins

wave theoryapplied physicsapplied mathematicsmathematical physicswave trainssubharmonic dynamics

Modulational Instability of Viscous Fluid Conduit Periodic Waves. SIAM Journal on Mathematical Analysis (2020)

Mathew A. JohnsonWesley R. Perkins

mathematical analysismathematicsmodulational instabilityapplied mathematics

1
2
3
4
5
10 / page

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Similar Faculty Members

David Nicholls

Institution

University of Illinois Chicago

applied pde

numerical treatment

Vera Mikyoung Hur

Institution

University of Illinois Urbana-Champaign

ocean engineering

earth science

Christof Sparber

Institution

University of Illinois Chicago

multi-physics modelling

multiphysics problem

Pierre Germain

Institution

New York University

engineering

nonlinear analysis

Jared Bronski

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nonlinear wave propagation

wave group

Roberto Camassa

Institution

University of North Carolina at Chapel Hill

fluid flow

applied mathematical modelling

Roman Shvydkoy

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University of Illinois Chicago

applied mathematics

turbulence modeling

Nikolaos Tzirakis

Institution

University of Illinois Urbana-Champaign

applied mathematics

nonlinear hyperbolic problem

Atanas Stefanov

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University of Alabama at Birmingham

applied mathematics

mathematical physics

M. Burak Erdoğan

Institution

University of Illinois Urbana-Champaign

dispersive pde

nonlinear analysis