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About Stefan C. Mancas

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Research Interests:
1. PDEs: nonlinear evolution equations, water waves, soliton interactions, hydrodynamics and fluid mechanics
2. ODEs: nonlinear dynamical systems, bifurcation theory, integrability of Riccati and Abel equations, special functions
3. Mathematical physics, differential geometry, cosmology and inflation, nonlinear optics

Dr. Mancas  received a Ph.D. in Applied Mathematics from the University of Central Florida in May 2007 under the supervision of Dr. Roy S. Choudhury, with the dissertation topic "Dissipative Solitons in the cubic-quintic Complex Ginzburg Landau equation: Bifurcations and Spatiotemporal Structure" for which he received the Outstanding Dissertation Award in 2008.
 
Currently, Dr. Mancas is a full Professor and Associate Chair in the Department of Mathematics at Embry-Riddle Aeronautical University.  His current areas of research activities involve finding analytical solutions to nonlinear evolution equations and dynamical systems. The methods used are based primarily on bifurcation theory for dynamical systems, and techniques involving special functions and complex analysis with applications to water waves, soliton theory, biological systems, cosmology and inflation for evolution equations.
 
He is the co-founder of the nonlinear Waves Lab which contains a 10 m. long water tank used for research in water waves, solitons in shallow water, vortex solitons, soliton ships, surface waves and wind-wave interaction, microcavitation, design and optimization, submarine currents, autonomous underwater vehicles, tractor beams, etc. He is also the organizer of national and international conferences in applied mathematics, and holds a strong record of publications with over forty articles in refereed journals, and many invited conferences and seminars.

Positions

Present Professor, Embry-Riddle Aeronautical University Department of Mathematics
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Curriculum Vitae




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Courses

  • 111,112,142,241,242,243,345,348,399,432,441,442,443,488,499,502,595

Education

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2007 Ph.D., University of Central Florida ‐ Mathematics
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Contact Information

Department of Mathematics COAS 301.13
Embry-Riddle Aeronautical University
600 S. Clyde Morris Blvd.
Daytona Beach, FL
Office: 386.226.7749
Fax: 386.226.6269



Articles (39)