Faris El-Katri

Research

Research Interests

My research interests include nonlinear hyperbolic partial differential equations, hyperbolic systems of conservation laws, compressible fluid dynamics and the Euler equations, shock formation, singularity development, and radar signal processing.

I also like my research to connect, whenever possible, with real-world problems whose solutions can help others.

Journal Articles and Preprints

  1. Faris El-Katri. Long-Time Nonlinear Stability of Large-Amplitude Radial Rarefactive Flows for the Multidimensional Compressible Euler Equations. Submitted, August 2026.
  2. Geng Chen, Faris A. El-Katri, and Yanbo Hu. Existence and singularity formation for the supersonic expanding wave of radially symmetric non-isentropic compressible Euler equations. To appear in Nonlinearity. [arXiv]
  3. Eduardo Abreu, Geng Chen, Faris El-Katri, and Erivaldo Lima. Complex Dynamics of Wave-Character Transitions in Radially Symmetric Isentropic Euler Flows: Theory and Numerics. Submitted, March 2026. [arXiv]
  4. Geng Chen, Faris El-Katri, Yanbo Hu, and Yannan Shen. Singularity formation for the supersonic inward wave of compressible Euler equations with radial symmetry. Submitted, November 2025. [arXiv]
  5. Geng Chen, Faris El-Katri, Yanbo Hu, and Yannan Shen. Global solution and singularity formation for the supersonic expanding wave of compressible Euler equations with radial symmetry. Journal of the London Mathematical Society, June 2025. [journal] [arXiv]

Conference Papers

  1. Faris Ahmed El-Katri and Patrick M. McCormick. Source Separation Using Time-Frequency and Range-Doppler Basis Functions with Sparse Estimation. IEEE International Radar Conference, Atlanta, Georgia, May 2025. [IEEE]
  2. Patrick M. McCormick and Faris Ahmed El-Katri. Radar and Communications Source Separation via Sparse Time-Frequency Estimation. International Radar Conference, Rennes, France, October 2024. [IEEE]

Work in Progress