Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 3.05.1960
E-mail:
Keywords: Billiards, Newton's problem of minimal resistance, Kakeya problem, convex geometry.

Subject:

Dynamical Systems, Optimization

Main publications:

1. A Plakhov. Exterior billiards. Systems with impacts outside bounded domains. Springer, New York, 2012. xiv+284 pp. ISBN: 978-1-4614-4480-0
2. A. Plakhov. A solution to Newton’s least resistance problem is uniquely defined by its singular set. Calc. Var. 61, 189 (2022).
3. A. Plakhov. Problems of minimal resistance and the Kakeya problem. SIAM Review {57, 421-434 (2015).
4. A Plakhov. Scattering in billiards and problems of Newtonian aerodynamics. Russ. Math. Surv. 64, 873-938 (2009).
5. A Plakhov. Billiards and two-dimensional problems of optimal resistance. Arch. Ration. Mech. Anal. 194, 349-382 (2009).

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

• 
• 

Organisations:

• Department of Mathematics, University of Aveiro
• Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
• Institute for Physico-Technical Problems, Moscow
• Aberystwyth University
• Bauman Moscow State Technical University