selected publications academic article Lawrie, A., Luhrmann, J., Oh, S., & Shahshahani, S. (2023). Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrodinger Maps Evolution. 76(3), 453-584. Lindblad, H., Luhrmann, J., Schlag, W., & Soffer, A. (2023). On Modified Scattering for 1D Quadratic Klein-Gordon Equations With Non-Generic Potentials. International mathematics research notices. 2023(6), 5118-5208. Li, Y., & Lhrmann, J. (2023). Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry. Journal of Differential Equations. 344, 172-202. Lindblad, H., Luhrmann, J., & Soffer, A. (2021). Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities. 241(3), 1459-1527. Dodson, B., Luehrmann, J., & Mendelson, D. (2020). ALMOST SURE SCATTERING FOR THE 4D ENERGY-CRITICAL DEFOCUSING NONLINEAR WAVE EQUATION WITH RADIAL DATA. American Journal of Mathematics. 142(2), 475-504. Lindblad, H., Luhrmann, J., & Soffer, A. (2020). DECAY AND ASYMPTOTICS FOR THE ONE-DIMENSIONAL KLEIN-GORDON EQUATION WITH VARIABLE COEFFICIENT CUBIC NONLINEARITIES. 52(6), 6379-6411. Dodson, B., Luhrmann, J., & Mendelson, D. (2019). Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrodinger equation. Advances in Mathematics. 347, 619-676. Chiodaroli, E., Krieger, J., & Lhrmann, J. (2018). Concentration Compactness for Critical Radial Wave Maps. 4(1), 8. Luehrmann, J., & Mendelson, D. (2016). On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on R-3. 22, 209-227. Krieger, J., & Lhrmann, J. (2015). Concentration Compactness for the Critical Maxwell-Klein-Gordon Equation. Annals of PDE. 1(1), 5. Luehrmann, J., & Mendelson, D. (2014). Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on IR3. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 39(12), 2262-2283. Lhrmann, J. (2012). Mean-field quantum dynamics with magnetic fields. Journal of Mathematical Physics. 53(2), 022105-022105.
principal investigator on Asymptotic Dynamics of Nonlinear Wave and Dispersive Equations awarded by Directorate for Mathematical & Physical Sciences - (Arlington, Virginia, United States) 2020 - 2023
teaching activities MATH308 Differential Equations Instructor MATH410 Multivariate Real Analysis Instructor MATH491 Research Instructor MATH611 Intro Ord & Part Diff Eq Instructor MATH612 Part Diff Eq Instructor MATH685 Directed Studies Instructor MATH689 Sptp: Nonlinr Wv Disp Equation Instructor
