< Publications >
  1. S. Canic and B. Plohr, Shock Wave Admissibility for Quadratic Conservation Laws. Journal of Differential Equations 118 (2) (1995), 293-335. (ps)
  2. Canic , S., The Role of Limit Cycles in the Stability of Shock Waves, Matematica Contemporanea 8 (1995), 63-88.
  3. S. Canic and B.L. Keyfitz, An Elliptic Problem Arising From the Unsteady Transonic Small Disturbance Equation. Journal of Differential Equations 125 (2) (1996), 548-574. (ps)
  4. S. Canic and B.L. Keyfitz, A Smooth Solution for a Keldysh Type Equation. Communications in Partial Differential Equations 21 (1&2) (1996), 319-341. (ps)
  5. Canic , S. Keyfitz L. B., and D. Wagner, A Bifurcation Diagram for Oblique Shock Interactions in the Unsteady Transonic Small Disturbance Equation, Hyperbolic Problems: Theory, Numerics, and Applications, (Editors: J. Glimm, M. J. Graham, J. Grove, and B. J. Plohr, World Scientific 1996, 178-187.
  6. Canic , S. and Keyfitz, L. B., Oblique Shock Interaction and the von Neumann Paradox, Shock Waves Vol. I (eds. Sturtevant, B., Schepherd J. E., Hornung H. G.), World Scientific, Singapore 1996, 435-440. (ps)
  7. Canic , S. and Keyfitz, L. B., A Useful Class of Two-Dimensional Conservation Laws,Mathematical Research 87, eds. K. Kirchgaessner, O. Mahrenholtz and R. Mennicken, Akademie Verlag Berlin (1996), 133-137.
  8. S. Canic , Quadratic Systems of Conservation Laws with Generic Behavior at Infinity. Journal of Dynamics and Differential Equations 9(3) (1997), 401-426. (ps)
  9. S. Karni and S. Canic , Computations of Slowly Moving Shocks. Journal of Computational Physics 136 (1997), 132-139.
  10. S. Canic , On the Influence of Viscosity on Riemann Solutions. Journal of Dynamics and Differential Equations 10 (1998), 109-149. (ps)
  11. Canic , S. and Keyfitz, L. B., Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation, SIAM Journal on Applied Mathematics 58(2) 1998, 636-665. (ps)
  12. S. Canic and D. Mirkovic, A Numerical Study of Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation. SIAM Journal on Applied Mathematics 58(5) (1998), 1365-1393. (ps)
  13. Canic , S. and Keyfitz, L. B., Quasi-One-Dimensional Riemann Problems and Their Role in Self-Similar Two-Dimensional Problems, Archive for Rational Mechanics and Analysis, 144 1998, 233-258.
  14. Peters, G. and Canic , S., On the Oscillatory Solutions in Hyperbolic Conservation Laws, Nonlinear Analysis: Real World Applications 1 2000, 287-314. (ps)
  15. S. Canic , B.L. Keyfitz and G. Lieberman, A Proof of Existence of Perturbed Steady Transonic Shocks via a Free Boundary Problem. Communications on Pure and Applied Mathematics LIII (2000), 484-511. (ps)
  16. Canic , S., Keyfitz L. B., and Kim, E.H., Free Boundary Problems for the Unsteady Transonic Small Distrubance Equation: Transonic Regular Reflection, Methods and Applications of Analysis, 7(2) (2000) 313-336. (ps)
  17. Canic , S. and Mirkovic D. A hyperbolic system of conservation laws arising in modeling endovascular treatment of abdominal aortic aneurysm, Hyperbolic Problems: Theory, Numerics, Applications, Vol. 141(1) (2000) 227-236.
  18. Canic , S., B. L. Keyfitz and Kim E.H., Weak shock reflection modeled by the UTSD equation, Hyperbolic Problems: Theory, Numerics, Applications, Vol. 141(1) (2000) 217-226. (ps)
  19. S. Canic and G. Peters, Nonexistence of Riemann Solutions and Majda-Pego Instability. Journal of Differential Equations 172(1) (2001) 1-28.  (ps)
  20. Canic , S., B. L. Keyfitz and Kim E.H., Mixed Hyperbolic-Elliptic Systems in Self-Similar Flows Bulletin of the Brasilian Mathematical Society, Vol.32(3) (2001) 377-399.
  21. S. Canic , Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties. Computing and Visualization in Science. Springer-Verlag. 4(3) (2002) 147-155. (pdf | ps)
  22. Canic , S., B. L. Keyfitz and Kim E.H., A Free Boundary Problem for a Quasilinear Degenerate Elliptic Equation: The Transonic Regular Reflection of Weak Shocks, Communications on Pure and Applied Mathematics, Vol. LV (2002) 71-92. (ps)
  23. Canic , Nonexistence of Riemann solutions for a quadratic model deriving from petroleum engineering, Nonlinear Analysis: Real World Applications, Vol. 3(4) (2002) 629-665.
  24. Canic , S. and A. Mikelic, Effective Equations Describing the Flow of a Viscous Incompressible Fluid Through a Long Elastic Tube, Comptes Rendus Mechanique Acad. Sci. Paris 330 (2002) pp. 661-666. (pdf | ps)
  25. Canic , S. and E. H. Kim, Weak Shock Reflection Modeled by the Unsteady Transonic Small Disturbance Equation Proceedings of the Eighth International Conference on Hyperbolic Problems, Theory, Numerics and Applications, (H. Freistuhler and G. Warnecke, editors) , Birkhauser, Basel, 2002, 217-226.
  26. Canic , S. and E. H. Kim, A Class of Quasilinear Degenerate Elliptic Problems. Journal of Differential Equations, 189(1) (2003) 71-98. . (ps)
  27. Canic , S. and E. H. Kim, Mathematical Analysis of the Quasilinear Effects in a Hyperbolic Model of Blood Flow through Compliant Axisymmetric Vessels, Mathematical Methods in Applied Sciences, 26 (14) (2003), 1161-1186. (pdf | ps)
  28. Canic , S. and A. Mikelic, Effective equations modeling the flow of a viscous incompressible fluid through a long elastic tube arising in the study of blood flow through small arteries. SIAM J. Appl. Dyn. Sys. 2(3) (2003) 431-463. (pdf | ps | movies)
  29. Canic, S., B. L. Keyfitz and E-H. Kim, Self-similar Problems in Multi-dimensional Conservation Laws, Proceedings of IC-SEC Conference on Recent Advance in Computational Science and Engineering, Singapore , December 2002.
  30. Canic , S. A. Mikelic, D. Lamponi, and J. Tambaca, Self-Consistent Effective Equations Modeling Blood Flow in Medium-to-Large Compliant Arteries. SIAM J. Multiscale Analysis and Simulation 3(3) (2005) 559-506 (pdf)
  31. S. Canic, J. Tambaca, A. Mikelic, C.J. Hartley, D. Mirkovic, and D. Rosentrauch. Blood flow through axially symmetric sections of compliant vessels: new effective closed models, Proc. 26th Ann. Conf. EMBS: 379, San Francisco, Sept. 1-4, 2004.` . (pdf)
  32. S. Canic, A. Mikelic and J. Tambaca. A two-dimensional effective model describing fluid-structure interaction in blood flow: analysis, simulation and experimental validation Comptes Rendus Mechanique Acad. Sci. Paris 333(12) 867-883 (2005). (2005). (pdf) movie (wmv)
  33. S. Canic, K. Ravi-Chandar, Z. Krajcer, D. Mirkovic and S. Lapin. A Comparison Between the Dynamic Responses of Bare-Metal {\sc Wallstent} Endoprosthesis and AneuRx Stent-Graft: A Mathematical Model Analysis. Texas Heart Institute Journal 32(4) 19--23 (2005). (pdf)
  34. S. Canic, Z. Krajcer, and S. Lapin. Is the design and mechanical properties of the current generation of stent-grafts for AAA repair suboptimal? A mathematical design of optimal endoprostheses. Endovascular Today. Endovascular Today (Cover Story). May Issue (2006) 48-50. (pdf)
  35. J. Tambaca, S. Canic, A. Mikelic. Effective Model of the Fluid Flow through Elastic Tube with Variable Radius. Accepted Grazer Mathematische Berichte 348 (2005), 91-112
  36. K. Jegdic, B.L. Keyfitz and S. Canic. Transonic regular reflection for the nonlinear wave system. Journal of Hyperbolic Differential Equations 3(3) (2006), 443-375.
  37. S. Canic, Craig J. Hartley, Doreen Rosenstrauch, Josip Tambaca, Giovanna Guidoboni and Andro Mikelic. Blood Flow in Compliant Arteries: An Effective Viscoelastic Reduced Model, Numerics and Experimental Validation. Annals of Biomedical Engineering 34(2006), pp.` 575-592. (pdf)
  38. K. Jegdic, B. L. Keyfitz, and S. Canic. Transonic regular reflection for the Unsteady Transonic Small Disturbance Equation - details of the subsonic solution. Free and Moving Boundaries: Analysis, Simulation and Control, (Roland Glowinski and Jean Paul Zolesio, editors), CRC Press, Boca Raton, Vol 252 (2007) 125-165.
  39. S. Canic, B.L. Keyfitz and E-H. Kim, Free Boundary Problems for Nonlinear Wave Systems: Interacting Shocks.SIAM J. Mathematical Analysis 37(6) (2006) 1947 - 1977. (pdf)
  40. S. Canic, J. Tambaca, G. Guidoboni, A. Mikelic, C.J. Hartley, D. Rosenstrauch. Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. SIAM Journal on Applied Mathematics. Volume 67 Issue 1 (2006) Pages 164-193. (pdf)
  41. K. Jegdic, B. L. Keyfitz, and S. Canic. A Riemann Problem for the isentropic gas dynamics equations. Proceedings of the MSRI/AWM Workshop ``The Legacy of Ladizhenskaya and Oleinik.'', Berkeley, CA, (2006) 165-170.
  42. A. Mikelic and S. Canic, Homogenization Closure for a Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow. Math Everywhere. Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry, G. Aletti, M. Burger, A. Micheletti, D. Morale (ed.) , Springer Heidelberg, 2007, p. 193-205.
  43. S. Canic. Fluid-Structure Interaction in Blood Flow (extended abstract). The Legacy of Ladyzhenskaya and Oleinik (edt. Krystyna Kuperberg). Proceedings of the MSRI/AWM Workshop ``The Legacy of Ladizhenskaya and Oleinik.'', Berkeley, CA, (2006) 11-15. (pdf)
  44. A Mikelic, G. Giodoboni, S. Canic. Fluid-Structure Interaction in a Pre-Stressed Tube with Thick Elastic Walls I: The Stationary Stokes Problem. Networks and Heterogeneous Media Vol. 2(3) 2007 397-423. (pdf)
  45. S. Canic and D. Rosenstrauch. Use of auricular chondrocytes in lining of artificial surfaces: A mathematical model. IEEE Transactions of Nanobioscience. Vol 7(3) 2008, 240-245.
  46. J. Tambaca, Ph.D, M. Kosor, M.S. S. Canic, Ph.D. and D. Paniagua, M.D. Mathematical Modeling of Endovascular Stents. SIAM J Appl Math. Accepted (2009).
  47. G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic and S. Lapin. Kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. Applied Math Letters. 22 (2009), pp. 684-688. (pdf)
  48. J. Hao, T.W. Pan, S. Canic, R. Glowinski, D. Rosenstrauch. A Fluid-Cell Interaction and Adhesion Algorithm for Tissue-Coating of Cardiovascular Implants. SIAM J. Multiscale Modeling and Simulation 7(4) 1669-1694 (2009) (pdf)
  49. T. Li and S. Canic. Critical Thresholds in a Quasilinear Hyperbolic Model of Blood Flow. Networks and Heterogeneous Media 4(3) 527-536 (2009).
  50. G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic. Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Journal of Computational Physics. Vol. 228, Issue 18 6916-6937 (2009).
  51. J. Tambaca, S. Canic and D. Paniagua. A Novel Approach to Modeling Coronary Stents Using a Slender Curved Rod Model: A Comparison Between Fractured Xience-like and Palmaz-like Stents. Applied and Numerical PDEs: Scientific Computing in Simulation, Optimization and Control and its Multiphysics Applications (eds. W. Fitzgibbon, Yu. Kuznetsov, P. Neittaanmäki, J. Periaux and O. Pironneau), Springer. In press.
  52. T. Kim, S. Canic and G. Guidoboni, Existence and Uniqueness of a Solution to a Three-Dimensional Axially Symmetric Biot Problem arising in Modeling Blood Flow. Submitted (2009).
  53. J. Tambaca, S. Canic and G. Guidoboni, Extended Abstract at the IEEE Engineering in Medicine and Biology 31st Annual International Conference: "Engineering the Future of Biomedicine"