Faculty

Institution

Unit

Venue

Jared Bronski

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Jared Bronski 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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Jared Bronski

University of Illinois Urbana-Champaign

Professor

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applied mathematics nonlinear phenomena mathematics wave nonlinearity physics mathematical physics spectral theory nonlinear wave propagation nonlinear science nonlinear analysis nonlinear dynamics applied physics boundary value problems integrable systems differential equations mathematical sciences periodic travelling wave dynamical systems asymptotic analysis mathematical analysis stability statistical mechanics statistical physics quantum mechanics lightwave technology bose-einstein condensation optical solitons mathematical statistical physic network theory oscillation theory quantum science kam theory wave theory nonlinear hyperbolic problem algebraic graph theory network dynamics combinatorial theory topological soliton bifurcation theory geometric singular perturbation theory stability analysis wave optics eigenvalue crossings condensed matter numerical mathematics wave mechanics potential theory dynamic networks nonlinear oscillations validated numerics matrix theory scalar transport integrable probability quantum dynamics complex dynamics standing light wave modulational instability scalar intermittency bose-einstein condensates modern physics molecular structure lipid chemistry proteinlipid interaction protein assembly spectral analysis dc offset new family semiclassical limit approximate center soliton dynamics attractive nonlinearity stable time-periodic solutions hairpin folding belt model apolipoprotein a-i eigenvalue curve wave group

Notable Scholarly Works

Notable Federal Grants

Collaborators

Asymptotic Stability of Sharp Fronts: Analysis and Rigorous Computation. Journal of Differential Equations (2025)

Blake BarkerJared C. BronskiVera Mikyoung HurZhao Yang

asymptotic analysisabstract and applied analysisapplied mathematicssharp frontsgeometric singular perturbation theorystabilityboundary value problems

Bounds on Unstable Spectrum for Dispersive Hamiltonian Pdes. arXiv (Cornell University) (2024)

Bronski, Jared CHur, Ver MikyoungSimpson, Sarah E

mathematical physicsapplied mathematicsboundary value problemsstability analysisperiodic travelling wavepartial differential equationshamiltonian pdesmathematicshamiltonian symmetrydifferential equationsnonlinear phenomenaspectral theorywave nonlinearityhamiltonian system

Floquet Theory and Stability Analysis for Hamiltonian Pdes. Nonlinearity (2024)

Jared C BronskiVera Mikyoung HurRobert Marangell

mathematical physicsnonlinear wave propagationapplied mathematicsstability analysisperiodic travelling wavefloquet theorypartial differential equationshamiltonian pdesmathematicsnonlinear phenomenaspectral theorywave nonlinearity

Floquet Theory and Stability for Hamiltonian Partial Differential Equations. arXiv (Cornell University) (2023)

Bronski, Jared CHur, Vera MikyoungMarangell, Robert

fourth orderfloquet theorydifferential equationsspectral theoryhamiltonian pdeswave nonlinearitymathematical physicsnonlinear dynamicsnonlinear phenomenanonlinear wave propagationperiodic travelling wavephysicsnonlinear analysisapplied mathematicspartial differential equationsdynamical systemsmathematicsboundary value problemshamiltonian system

Correlation Function of a Random Scalar Field Evolving With a Rapidly Fluctuating Gaussian Process. arXiv (Cornell University) (2022)

Bronski, Jared C.Ding, LingyunMcLaughlin, Richard M.

anomalous diffusionstochastic phenomenaapplied mathematicsmathematical statistical physicscalar fieldapplied probabilitystatistical physicsgeometric brownian motionprobability theorystatistical mechanicsphysicsmathematicsstochastic processdiffusionrandom scalar field

Superharmonic Instability for Regularized Long-Wave Models*. Nonlinearity (2022)

Jared C BronskiVera Mikyoung HurSamuel Lee Wester

harmonic analysismathematical physicsasymptotic analysisnonlinear wave propagationapplied mathematicsregularized long-wave modelsperiodic travelling wavepartial differential equationsnonlinear scienceregularized long-wave modelphysicsnonlinear phenomenaspectral stabilitywave theorywave nonlinearity

Asymptotic Stability of Sharp Fronts. I One Bound State Implies Stability. arXiv (Cornell University) (2021)

Barker, BlakeBronski, Jared C.Hur, Vera MikyoungYang, Zhao

nonlinear systemsnonlinear wave propagationapplied mathematicsboundary value problemssharp frontspartial differential equationsnonlinear hyperbolic problemdynamical systemsnonlinear dynamicsstabilitybound statephysicsdifferential equationsnonlinear phenomenamonotone profileswave nonlinearitynonlinear analysis

Motifs, Coherent Configurations and Second Order Network Generation. Physica D Nonlinear Phenomena (2021)

Jared C. BronskiTimothy Ferguson

network sciencenetwork analysisnatural computingmathematicscoherent configurationsnetwork theory

Partially Phase-Locked Solutions to the Kuramoto Model. Journal of Statistical Physics (2021)

Jared C. BronskiLan Wang

oscillation theoryapplied mathematicsphase transitionskuramoto modelintegrable systemsnonlinear phenomenanonlinear analysis

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

nls typenonlinear systemsnonlinear wave propagationapplied mathematicsboundary value problemsperiodic travelling waveintegrable systemsnonlinear hyperbolic problemwave solutionsstabilitynonlinear sciencenonlinear equationsdifferential equationsnonlinear phenomenanonlinear dispersive equationswave nonlinearitynonlinear analysis

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Jared Bronski

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Jared Bronski 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

Jared Bronski

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Asymptotic Stability of Sharp Fronts: Analysis and Rigorous Computation. Journal of Differential Equations (2025)

Blake BarkerJared C. BronskiVera Mikyoung HurZhao Yang

asymptotic analysisabstract and applied analysisapplied mathematicssharp frontsgeometric singular perturbation theorystabilityboundary value problems

Bounds on Unstable Spectrum for Dispersive Hamiltonian Pdes. arXiv (Cornell University) (2024)

Bronski, Jared CHur, Ver MikyoungSimpson, Sarah E

Floquet Theory and Stability Analysis for Hamiltonian Pdes. Nonlinearity (2024)

Jared C BronskiVera Mikyoung HurRobert Marangell

Floquet Theory and Stability for Hamiltonian Partial Differential Equations. arXiv (Cornell University) (2023)

Bronski, Jared CHur, Vera MikyoungMarangell, Robert

Correlation Function of a Random Scalar Field Evolving With a Rapidly Fluctuating Gaussian Process. arXiv (Cornell University) (2022)

Bronski, Jared C.Ding, LingyunMcLaughlin, Richard M.

Superharmonic Instability for Regularized Long-Wave Models*. Nonlinearity (2022)

Jared C BronskiVera Mikyoung HurSamuel Lee Wester

Asymptotic Stability of Sharp Fronts. I One Bound State Implies Stability. arXiv (Cornell University) (2021)

Barker, BlakeBronski, Jared C.Hur, Vera MikyoungYang, Zhao

Motifs, Coherent Configurations and Second Order Network Generation. Physica D Nonlinear Phenomena (2021)

Jared C. BronskiTimothy Ferguson

network sciencenetwork analysisnatural computingmathematicscoherent configurationsnetwork theory

Partially Phase-Locked Solutions to the Kuramoto Model. Journal of Statistical Physics (2021)

Jared C. BronskiLan Wang

oscillation theoryapplied mathematicsphase transitionskuramoto modelintegrable systemsnonlinear phenomenanonlinear analysis

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

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