Personal profile
Research Interests
Partial Differential Equations, Nonlinear Analysis
Professional Information
I currently work on existence and stability of coherent structures (bound states, solitons, kinks) in Hamiltonian equations and their interaction and coupling with radiation under deterministic and random perturbation. More generally I am interested in hyperbolic and dispersive waves in inhomogeneous and random media and in developing variational and fixed point methods for nonlinear equations to study the existence, stability of solutions and their bifurcations.
Office Address
273 Altgeld Hall
M/C 382
Urbana, IL 61801
Office Phone
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Long time dynamics and coherent states in nonlinear wave equations
Kirr, E., 2017, Fields Institute Communications. Springer, p. 59-88 30 p. (Fields Institute Communications; vol. 79).Research output: Chapter in Book/Report/Conference proceeding › Chapter
Open Access -
Dynamic Statistical Scaling in the Landau-de Gennes Theory of Nematic Liquid Crystals
Kirr, E., Wilkinson, M. & Zarnescu, A., May 2014, In: Journal of Statistical Physics. 155, 4, p. 625-657 33 p.Research output: Contribution to journal › Article › peer-review
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Symmetry-Breaking Bifurcation in the Nonlinear Schrödinger Equation with Symmetric Potentials
Kirr, E., Kevrekidis, P. G. & Pelinovsky, D. E., Dec 2011, In: Communications in Mathematical Physics. 308, 3, p. 795-844 50 p.Research output: Contribution to journal › Article › peer-review
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Asymptotic stability of ground states in 2D nonlinear Schrödinger equation including subcritical cases
Kirr, E. & Zarnescu, A., Aug 1 2009, In: Journal of Differential Equations. 247, 3, p. 710-735 26 p.Research output: Contribution to journal › Article › peer-review
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Asymptotic stability of ground states in 3D nonlinear Schrödinger equation including subcritical cases
Kirr, E. & Mizrak, Ö., Dec 15 2009, In: Journal of Functional Analysis. 257, 12, p. 3691-3747 57 p.Research output: Contribution to journal › Article › peer-review