Razvan C. Fetecau

Publications

  1. R. C. Fetecau and H. Park [2024], Aggregation-diffusion energies on Cartan-Hadamard manifolds of unbounded curvature , J. Geom. Anal., Vol. 34, Issue 12, Article 356 (pdf)

  2. X. Zhao, R. C. Fetecau and M. Chen [2023], Efficient domain coverage for vehicles with second-order dynamics via multi-agent reinforcement learning , Proceedings of the 2023 IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Detroit, pp. 5614-5621 (pdf)

  3. R. C. Fetecau and H. Park [2023b], Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature , J. Geom. Anal., Vol. 33, Issue 7, Article 218 (pdf)

  4. R. C. Fetecau and H. Park [2023a], Equilibria and energy minimizers for an interaction model on the hyperbolic space , Physica D, Vol. 446, Article 133670 (pdf)

  5. J. Chacon, M. Chen and R. C. Fetecau [2023], Safe coverage of moving domains for vehicles with second order dynamics , IEEE Trans. Automat. Contr., Vol. 68, Issue 1, pp. 486-493 (pdf)

  6. R. C. Fetecau and F. S. Patacchini [2022], Well-posedness of an interaction model on Riemannian manifolds , Comm. Pure Appl. Anal., Vol. 21, Issue 11, pp. 3559-3585 (pdf)

  7. R. C. Fetecau, H. Huang, D. A. Messenger and W. Sun [2022], Zero-diffusion limit for aggregation equations over bounded domains , Discrete Contin. Dyn. Syst. Ser. A, Vol. 42, No. 10, pp. 4905-4936 (pdf)

  8. R. C. Fetecau, S-Y. Ha and H. Park [2022], Emergent behaviors of rotation matrix flocks , SIAM J. Appl. Dyn. Syst., Vol. 21, Issue 2, pp. 1382-1425 (pdf)

  9. R. C. Fetecau, S-Y. Ha and H. Park [2021], An intrinsic aggregation model on the special orthogonal group SO(3): well-posedness and collective behaviours , J. Nonlinear Sci., Vol. 31, Issue 5, Article: 74 (pdf)

  10. R. C. Fetecau, H. Park and F. S. Patacchini [2021], Well-posedness and asymptotic behaviour of an aggregation model with intrinsic interactions on sphere and other manifolds , Analysis and Applications , Vol. 19, Issue 6, pp. 965-1017 (pdf)

  11. J. Chacon, M. Chen and R. C. Fetecau [2020], Safe coverage of compact domains for second order dynamical systems , Proceedings of the 21st International Federation of Automatic Control (IFAC) World Congress, Berlin 2020, Vol. 53, Issue 2, pp. 15167-15173 (pdf)

  12. D. A. Messenger and R. C. Fetecau [2020], Equilibria of an aggregation model with linear diffusion in domains with boundaries , Math. Models Methods Appl. Sci. (M3AS), Vol. 30, No. 4, pp. 805-845 (pdf)

  13. R. C. Fetecau and B. Zhang [2019], Self-organization on Riemannian manifolds , J. Geom. Mech., Vol. 11, No. 3, pp. 397-426 (pdf)

  14. R. C. Fetecau, H. Huang and W. Sun [2019], Propagation of chaos for the Keller-Segel equation over bounded domains , J. Differential Equations, Vol. 266, Issue 4, pp. 2142-2174 (pdf)

  15. R. C. Fetecau, M. Kovacic and I. Topaloglu [2019], Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion , Discrete Contin. Dyn. Syst. Ser. B, Vol. 24, No. 4, pp. 1815-1842 (pdf)

  16. J. Evers, R. C. Fetecau and T. Kolokolnikov [2017], Equilibria for a two-dimensional aggregation model with two species , SIAM J. Appl. Dyn. Syst., Vol. 16, No. 4, pp. 2287-2338 (pdf)

  17. J. Evers, R. C. Fetecau and W. Sun [2017], Small inertia regularization of an anisotropic aggregation model , Math. Models Methods Appl. Sci. (M3AS), Vol. 27, No. 10, pp. 1795-1842 (pdf)

  18. R. C. Fetecau and M. Kovacic [2017], Swarm equilibria in domains with boundaries , SIAM J. Appl. Dyn. Syst., Vol. 16, No. 3, pp. 1260-1308 (pdf)

  19. C. Innes, R. C. Fetecau and R. Wittenberg [2017], Modelling heterogeneity and an open-mindedness social norm in opinion dynamics , Netw. Heterog. Media, Vol. 12, Issue 1, pp. 59-92 (pdf)

  20. R. C. Fetecau, W. Sun and C. Tan [2016], First-order aggregation models with alignment , Physica D, Vol. 325, pp. 146-163 (pdf)

  21. R. C. Fetecau and W. Sun [2015], First-order aggregation models and zero inertia limits , J. Differential Equations, Vol. 259, Issue 11, pp. 6774-6802 (pdf)

  22. J. Evers, R. C. Fetecau and L. Ryzhik [2015], Anisotropic interactions in a first-order aggregation model , Nonlinearity, Vol. 28, No. 8, pp. 2847-2871 (pdf)

  23. R. Choksi, R. C. Fetecau and I. Topaloglu [2015], On minimizers of interaction functionals with competing attractive and repulsive potentials , Ann. Inst. H. Poincaré Anal. Non Linéaire, Vol. 32, Issue 6, pp. 1283-1305 (pdf)

  24. R. C. Fetecau [2015], Self-collective behaviour in biological aggregations , CMS Notes, Vol. 47, No. 1, pp. 12-13 (pdf)

  25. M. Burger, R. C. Fetecau and Y. Huang [2014], Stationary States and Asymptotic Behaviour of Aggregation Models with Nonlinear Local Repulsion , SIAM J. Appl. Dyn. Syst., Vol. 13, Issue 1, pp. 397–424 (pdf)

  26. R. C. Fetecau and J. Meskas [2013], A nonlocal kinetic model for predator-prey interactions , Swarm Intelligence, Vol. 7, Issue 4, pp. 279-305 (pdf)

  27. R. C. Fetecau and Y. Huang [2013], Equilibria of biological aggregations with nonlocal repulsive-attractive interactions , Physica D, Vol. 260, pp. 49–64 (pdf)

  28. R. C. Fetecau and A. Guo [2012], A mathematical model for flight guidance in honeybee swarms , Bull. Math. Biol., Vol. 74, No. 11, pp. 2600-2621 (pdf)

  29. J. C. Bronski and R. C. Fetecau [2012], An alternative energy bound derivation for a generalized Hasegawa-Mima equation , Nonlinear Analysis Ser. B, Vol. 13, Issue 3, pp. 1362-1368 (pdf)

  30. R. C. Fetecau, Y. Huang and T. Kolokolnikov [2011], Swarm dynamics and equilibria for a nonlocal aggregation model , Nonlinearity, Vol. 24, No. 10, pp. 2681-2716, featured article (pdf)

  31. R. C. Fetecau and D. J. Muraki [2011], A dispersive regularization of the modulational instability of stratified gravity waves , Wave Motion, Vol. 48, No. 7, pp. 667-679. (pdf)

  32. R. C. Fetecau [2011], Collective behavior of biological aggregations in two dimensions: a nonlocal kinetic model , Math. Models Methods Appl. Sci. (M3AS), Vol. 21, No. 7, pp. 1539-1569. (pdf)

  33. R. C. Fetecau and D. J. Muraki [2010], Dispersive Corrections to a Modulation Theory for Stratified Gravity Waves , Wave Motion, Vol. 47, Issue 7, pp. 395-408. (pdf)

  34. R. C. Fetecau and R. Eftimie [2010], An investigation of a nonlocal hyperbolic model for self-organization of biological groups , J. Math. Biol., Vol. 61, No. 4, pp. 545-579. (pdf)

  35. H. S. Bhat and R. C. Fetecau [2009b], On a regularization of the compressible Euler equations for an isothermal gas , J. Math. Anal. Appl., Vol. 358, Issue 1, pp. 168-181. (pdf)

  36. H. S. Bhat and R. C. Fetecau [2009a], The Riemann problem for the Leray-Burgers equation , J. Differential Equations, Vol. 246, Issue 10, pp. 3957-3979. (pdf)

  37. H. S. Bhat and R. C. Fetecau [2008], Stability of fronts for a regularization of the Burgers equation , Quart. Appl. Math, Vol. 66, No. 3, pp. 473-496. (pdf)

  38. H. S. Bhat, R. C. Fetecau and J. B. Goodman [2007], A Leray-type regularization for the isentropic Euler equations , Nonlinearity , Vol. 20, pp. 2035-2046. (pdf)

  39. J. C. Bronski, R. C. Fetecau and T. N. Gambill [2007], A note on a non-local Kuramoto-Sivashinsky equation , Discrete Contin. Dyn. Syst. Ser. A, Vol. 18, No. 4, pp. 701-707. (pdf)

  40. H. S. Bhat and R. C. Fetecau [2006b], A Hamiltonian regularization of the Burgers equation, J. Nonlinear Sci. , Vol. 16, No. 6, pp. 615-638. (pdf)

  41. H. S. Bhat and R. C. Fetecau [2006a], Lagrangian averaging for the 1D compressible Euler equations, Discrete Contin. Dyn. Syst. Ser. B, Vol. 6, No. 5, pp. 979-1000. (pdf)

  42. R. C. Fetecau and D. Levy [2005], Approximate Model Equations for Water Waves , Comm. Math. Sci., Vol. 3, Issue 2, pp. 159 - 170. (pdf)

  43. H. S. Bhat, R. C. Fetecau, J. E. Marsden, K. Mohseni and M. West [2005], Lagrangian Averaging for Compressible Fluids , SIAM J. Multiscale Modeling and Simulation, Vol. 3, No. 4, pp. 818 - 837. (pdf)

  44. R. C. Fetecau and T. Y. Hou [2004], A modified particle method for semilinear hyperbolic systems with oscillatory solutions , Methods and Applications of Analysis , Vol. 11, No. 4, pp. 573-604. (pdf)

  45. R. C. Fetecau, J. E. Marsden, M. Ortiz and M. West [2003], Nonsmooth Lagrangian Mechanics and Variational Collision Integrators, SIAM J. Appl. Dyn. Syst., Vol. 2, No. 3, pp. 381-416. (pdf)

  46. R. C. Fetecau, J. E. Marsden and M. West [2003], Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics, in Kaplan et al., editors, Perspectives and Problems in Nonlinear Science, pp. 229-261, Springer-Verlag. (pdf)

  47. R. C. Fetecau [1998], Existence of Unidirectional Spherical Gap Flows of Some Non-Newtonian Fluids, Rev. Roumaine Sci. Techn. Ser. Mec. Appl., Vol 43, No. 5, pp. 551-555.

  48. R. C. Fetecau and C. Fetecau [1997], Cone and Plate Flow of a Second Grade Fluid, Acta Mech., Vol. 122, No. 1-4, pp. 225-230.

Movies

Movie supporting the work "Nonsmooth Lagrangian Mechanics and Variational Collision Integrators" with J. E. Marsden, M. Ortiz and M. West

    Sequence of collisions and bounces on a horizontal rigid floor for a rotating star-shaped rigid body: Movie