Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi‐symmetric vessels S Čanić, EH Kim Mathematical Methods in the Applied Sciences 26 (14), 1161-1186, 2003 | 219 | 2003 |
Flows on networks: recent results and perspectives A Bressan, S Čanić, M Garavello, M Herty, B Piccoli EMS Surveys in Mathematical Sciences 1 (1), 47-111, 2014 | 214 | 2014 |
Stable loosely-coupled-type algorithm for fluid–structure interaction in blood flow G Guidoboni, R Glowinski, N Cavallini, S Canic Journal of Computational Physics 228 (18), 6916-6937, 2009 | 212 | 2009 |
Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method BE Griffith, X Luo, DM McQueen, CS Peskin International Journal of Applied Mechanics 1 (01), 137-177, 2009 | 210 | 2009 |
Existence of a weak solution to a nonlinear fluid–structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls B Muha, S Canić Archive for rational mechanics and analysis 207, 919-968, 2013 | 193 | 2013 |
A proof of existence of perturbed steady transonic shocks via a free boundary problem S Čanič, BL Keyfitz, GM Lieberman Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2000 | 169 | 2000 |
Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow S Čanić, J Tambača, G Guidoboni, A Mikelić, CJ Hartley, D Rosenstrauch SIAM Journal on Applied Mathematics 67 (1), 164-193, 2006 | 164 | 2006 |
Fluid–structure interaction in blood flow capturing non-zero longitudinal structure displacement M Bukač, S Čanić, R Glowinski, J Tambača, A Quaini Journal of Computational Physics 235, 515-541, 2013 | 143 | 2013 |
Blood flow in compliant arteries: an effective viscoelastic reduced model, numerics, and experimental validation S Čanić, CJ Hartley, D Rosenstrauch, J Tambača, G Guidoboni, A Mikelić Annals of Biomedical Engineering 34, 575-592, 2006 | 140 | 2006 |
A free boundary problem for a quasi-linear degenerate elliptic equation: regular reflection of weak shocks S CANIC, BL KEYFITZ, EH Kim Communications on pure and applied mathematics 55 (1), 71-92, 2002 | 118 | 2002 |
Extended ALE method for fluid–structure interaction problems with large structural displacements S Basting, A Quaini, S Čanić, R Glowinski Journal of Computational Physics 331, 312-336, 2017 | 111 | 2017 |
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 S Canic, A Mikelic SIAM Journal on Applied Dynamical Systems 2 (3), 431-463, 2003 | 109 | 2003 |
Emerging trends in heart valve engineering: part I. Solutions for future A Kheradvar, EM Groves, LP Dasi, SH Alavi, R Tranquillo, ... Annals of biomedical engineering 43, 833-843, 2015 | 107 | 2015 |
Free boundary problems for the unsteady transonic small disturbance equation: Transonic regular reflection S Čanić, BL Keyfitz, EH Kim Methods and Applications of Analysis 7 (2), 313-336, 2000 | 107 | 2000 |
Self-consistent effective equations modeling blood flow in medium-to-large compliant arteries S Canic, D Lamponi, A Mikelic, J Tambaca Multiscale Modeling & Simulation 3 (3), 559-596, 2005 | 105 | 2005 |
Existence of a solution to a fluid–multi-layered-structure interaction problem B Muha, S Čanić Journal of Differential Equations 256 (2), 658-706, 2014 | 91 | 2014 |
Free boundary problems for nonlinear wave systems: Mach stems for interacting shocks S Canic, BL Keyfitz, EH Kim SIAM journal on mathematical analysis 37 (6), 1947-1977, 2006 | 86 | 2006 |
Emerging trends in heart valve engineering: Part II. Novel and standard technologies for aortic valve replacement A Kheradvar, EM Groves, CJ Goergen, SH Alavi, R Tranquillo, ... Annals of biomedical engineering 43, 844-857, 2015 | 82 | 2015 |
Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties S Čanić Computing and visualization in science 4, 147-155, 2002 | 82 | 2002 |
Existence of a weak solution to a fluid–elastic structure interaction problem with the Navier slip boundary condition B Muha, S Čanić Journal of Differential Equations 260 (12), 8550-8589, 2016 | 75 | 2016 |