Projects per year
Personal profile
Research interests
My main research interest is in the analysis of Partial Differential Equations with a particular focus on the study of low regularity well-posedness and long-time behavior of solutions to nonlinear dispersive and wave equations arising from quantum and fluid mechanics. Harmonic analysis techniques are central in my research.
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Collaborations and top research areas from the last five years
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Probabilistic methods in the study of nonlinear dispersive and wave equations
Tesfahun, A. (PI) & Esfahani, A. (Co-PI)
2/4/25 → 12/31/27
Project: FDCRGP
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Nonlinear Partial Differential Equations in Material Science
Tesfahun, A. (PI)
7/1/22 → 6/30/24
Project: FDCRGP
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Improved Lower Bound for the Radius of Analyticity of Solutions to the Fifth Order, KdV-BBM Type Equation
Mebrate, S., Dufera, T. & Tesfahun, A., Aug 2024, In: Bulletin of the Iranian Mathematical Society. 50, 4, 62.Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus) -
On the persistence of spatial analyticity for generalized KdV equation with higher order dispersion
Getachew, T., Tesfahun, A. & Belayneh, B., May 2024, In: Mathematische Nachrichten. 297, 5, p. 1737-1748 12 p.Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus) -
Propagation of radius of analyticity for solutions to a fourth-order nonlinear Schrödinger equation
Getachew, T., Belayneh, B. & Tesfahun, A., 2024, (Accepted/In press) In: Mathematical Methods in the Applied Sciences.Research output: Contribution to journal › Article › peer-review
Open Access3 Citations (Scopus) -
Well-posedness and analyticity of solutions for the sixth-order Boussinesq equation
Esfahani, A. & Tesfahun, A., 2024, (Accepted/In press) In: Communications in Contemporary Mathematics. 2450005.Research output: Contribution to journal › Article › peer-review
Open Access3 Citations (Scopus) -
Well-posedness for a molecular beam epitaxy model
Emerald, L., da Silva, D. O. & Tesfahun, A., Dec 15 2024, In: Journal of Mathematical Analysis and Applications. 540, 2, 128617.Research output: Contribution to journal › Article › peer-review
Open Access