Sunčica Čanić
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Croatian-American mathematician
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Sunčica Čanićmathematics Degrees
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Mathematical Physics
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Mathematics
Sunčica Čanić's Degrees
- PhD Mathematics University of Zagreb
- Masters Mathematics University of Zagreb
- Bachelors Mathematics University of Zagreb
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Why Is Sunčica Čanić Influential?
(Suggest an Edit or Addition)According to Wikipedia, Sunčica Čanić is a Croatian-American mathematician, the Hugh Roy and Lillie Cranz Cullen Distinguished Professor of Mathematics and Director of the Center for Mathematical Biosciences at the University of Houston, and Professor of Mathematics at the University of California, Berkeley. She is known for her work in mathematically modeling the human cardiovascular system and medical devices for it.
Sunčica Čanić's Published Works
Published Works
- Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow (2009) (171)
- Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi‐symmetric vessels (2003) (158)
- A proof of existence of perturbed steady transonic shocks via a free boundary problem (2000) (147)
- Flows on networks: recent results and perspectives (2014) (137)
- Modeling Viscoelastic Behavior of Arterial Walls and Their Interaction with Pulsatile Blood Flow (2006) (123)
- Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement (2012) (118)
- Blood Flow in Compliant Arteries: An Effective Viscoelastic Reduced Model, Numerics, and Experimental Validation (2006) (116)
- A free boundary problem for a quasi‐linear degenerate elliptic equation: Regular reflection of weak shocks (2002) (110)
- Emerging Trends in Heart Valve Engineering: Part I. Solutions for Future (2015) (84)
- 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 (2003) (83)
- Free Boundary Problems for the Unsteady Transonic Small Disturbance Equation: Transonic Regular Reflection (2000) (80)
- 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 (2012) (80)
- Free Boundary Problems for Nonlinear Wave Systems: Mach Stems for Interacting Shocks (2006) (78)
- Existence of a solution to a fluid-multi-layered-structure interaction problem (2013) (74)
- Extended ALE Method for fluid-structure interaction problems with large structural displacements (2017) (70)
- Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition (2015) (66)
- Self-Consistent Effective Equations Modeling Blood Flow in Medium-to-Large Compliant Arteries (2005) (64)
- Computations of Slowly Moving Shocks (1997) (60)
- A partitioned scheme for fluid-composite structure interaction problems (2014) (57)
- Emerging Trends in Heart Valve Engineering: Part II. Novel and Standard Technologies for Aortic Valve Replacement (2015) (56)
- Validation of an open source framework for the simulation of blood flow in rigid and deformable vessels (2013) (55)
- A two-dimensional effective model describing fluid–structure interaction in blood flow: analysis, simulation and experimental validation (2005) (48)
- A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow (2009) (46)
- Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties (2002) (45)
- Fluid-structure interaction in a pre-stressed tube with thick elastic walls I: the stationary Stokes problem (2007) (45)
- Stability of the kinematically coupled \beta-scheme for fluid-structure interaction problems in hemodynamics (2012) (43)
- Emerging Trends in Heart Valve Engineering: Part IV. Computational Modeling and Experimental Studies (2015) (43)
- A modular, operator‐splitting scheme for fluid–structure interaction problems with thick structures (2013) (43)
- An Elliptic Problem Arising from the Unsteady Transonic Small Disturbance Equation (1995) (42)
- Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy (2015) (42)
- Quasi‐One‐Dimensional Riemann Problems and Their Role in Self‐Similar Two‐Dimensional Problems (1998) (41)
- Emerging Trends in Heart Valve Engineering: Part III. Novel Technologies for Mitral Valve Repair and Replacement (2015) (40)
- Mathematical Modeling of Vascular Stents (2010) (40)
- Mixed hyperbolic-elliptic systems in self-similar flows (2001) (40)
- Mechanical behavior of fully expanded commercially available endovascular coronary stents. (2011) (37)
- A nonlinear, 3D fluid-structure interaction problem driven by the time-dependent dynamic pressure data: a constructive existence proof (2013) (37)
- Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation (1998) (36)
- Longitudinal displacement in viscoelastic arteries: a novel fluid-structure interaction computational model, and experimental validation. (2013) (34)
- Fluid–structure interaction between pulsatile blood flow and a curved stented coronary artery on a beating heart: A four stent computational study (2019) (34)
- A smooth solution for a keldysh type equation (1996) (31)
- A Three-Dimensional Computational Fluid Dynamics Model of Regurgitant Mitral Valve Flow: Validation Against In Vitro Standards and 3D Color Doppler Methods (2011) (31)
- Mathematical Model analysis of Wallstent and Aneurx: dynamic responses of bare-metal endoprosthesis compared with those of stent-graft. (2005) (30)
- Validation of a 3D computational fluid-structure interaction model simulating flow through an elastic aperture. (2012) (28)
- Shock Wave Admissibility for Quadratic Conservation Laws (1995) (27)
- Runge–Kutta Discontinuous Galerkin Method for Traffic Flow Model on Networks (2014) (26)
- TRANSONIC REGULAR REFLECTION FOR THE NONLINEAR WAVE SYSTEM (2006) (26)
- Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods. (2015) (24)
- Cardiovascular stents as PDE nets: 1D vs. 3D (2012) (23)
- A class of quasilinear degenerate elliptic problems (2003) (20)
- Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation (2014) (19)
- A Monolithic Approach to Fluid–Composite Structure Interaction (2017) (18)
- Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube (2002) (17)
- Integrated Stent Models Based on Dimension Reduction: Review and Future Perspectives (2016) (16)
- A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains (2011) (14)
- A Nonlinear Fluid-Structure Interaction Problem in Compliant Arteries Treated with Vascular Stents (2016) (14)
- Effective Model of the Fluid Flow through Elastic Tube with Variable Radius (2005) (13)
- Analysis of a linear 3D fluid–mesh–shell interaction problem (2019) (12)
- A Hyperbolic System of Conservation Laws in Modeling Endovascular Treatment of Abdominal Aortic Aneurysm (2001) (11)
- Numerical characterization of hemodynamics conditions near aortic valve after implantation of Left Ventricular Assist Device. (2011) (11)
- On the Influence of Viscosity on Riemann Solutions (1998) (11)
- A Higher-Order Discontinuous Galerkin/Arbitrary Lagrangian Eulerian Partitioned Approach to Solving Fluid–Structure Interaction Problems with Incompressible, Viscous Fluids and Elastic Structures (2018) (11)
- A useful class of two-dimensional conservation laws (1996) (10)
- On the oscillatory solutions in hyperbolic conservation laws (2000) (10)
- Existence of a Unique Solution to a Nonlinear Moving-Boundary Problem of Mixed Type Arising in Modeling Blood Flow (2011) (10)
- 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 (2012) (10)
- An Operator Splitting Approach to the Solution of Fluid-Structure Interaction Problems in Hemodynamics (2016) (9)
- Quantifying hydrodynamic collective states of magnetic colloidal spinners and rollers (2019) (9)
- A conservative, positivity preserving scheme for reactive solute transport problems in moving domains (2014) (9)
- 3D Experimental and Computational Analysis of Eccentric Mitral Regurgitant Jets in a Mock Imaging Heart Chamber (2017) (9)
- A Dimension-Reduction Based Coupled Model of Mesh-Reinforced Shells (2017) (9)
- Multilayered Poroelasticity Interacting with Stokes Flow (2020) (8)
- A Numerical Study of Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation (1998) (8)
- Critical thresholds in a quasilinear hyperbolic model of blood flow (2009) (8)
- Blood flow through axially symmetric sections of compliant vessels: new effective closed models (2004) (8)
- Moving boundary problems (2020) (8)
- Nonexistence of Riemann solutions for a quadratic model deriving from petroleum engineering (2002) (7)
- FLUID-STRUCTURE INTERACTION IN BLOOD FLOW (2006) (7)
- Transonic regular reflection for the unsteady transonic small disturbance equation—details of the subsonic solution (2007) (7)
- Deterministic ill-posedness and probabilistic well-posedness of the viscous nonlinear wave equation describing fluid-structure interaction (2021) (6)
- Quadratic systems of conservation laws with generic behavior at infinity (1997) (6)
- Nonexistence of Riemann Solutions and Majda-Pego Instability (2001) (6)
- A stochastically perturbed fluid-structure interaction problem modeled by a stochastic viscous wave equation (2021) (6)
- Weak Shock Reflection Modeled by the Unsteady Transonic Small Disturbance Equation (2001) (6)
- A nonlinear moving-boundary problem of parabolic- hyperbolic-hyperbolic type arising in fluid-multi- layered structure interaction problems (2014) (6)
- A Fluid-Cell Interaction and Adhesion Algorithm for Tissue Coating of Cardiovascular Implants (2009) (5)
- A study of self-propelled elastic cylindrical micro-swimmers using modeling and computation (2016) (5)
- Numerical Methods for Hyperbolic Nets and Networks (2017) (4)
- Modeling and analysis of reactive solute transport in deformable channels with wall adsorption–desorption (2016) (4)
- Numerical Analysis and Scientific Computing Preprint Seria Symmetry breaking and Hopf bifurcation for incompressible viscous flow in a contraction-expansion channel (2014) (4)
- EXISTENCE AND UNIQUENESS OF A SOLUTION TO A THREE-DIMENSIONAL AXIALLY SYMMETRIC BIOT PROBLEM ARISING IN MODELING BLOOD FLOW (2009) (4)
- A Novel Approach to Modeling Coronary Stents Using a Slender Curved Rod Model: A Comparison Between Fractured Xience-Like and Palmaz-Like Stents (2010) (3)
- Existence and uniqueness of a solutionto a three-dimensional axially symmetric Biot problem arising inmodeling blood flow (2010) (3)
- Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid–structure interaction (2021) (3)
- A comparison between fractured Xience-like and Palmaz-like stents using a novel computational model (2009) (3)
- 1. On the implementation and benchmarking of an extended ALE method for FSI problems (2017) (3)
- A Comparison Between the Dynamic Responses of Bare-Metal Wallstent Endoprosthesis and AneuRx Stent-Graft : A Mathematical Model Analysis (3)
- A Next-Generation Mathematical Model for Drug-Eluting Stents (2021) (3)
- Validation of an Open Source Framework for the Simulation of Blood Flow (2013) (2)
- Design of Optimal Endoprostheses Using Mathematical Modeling Are the mechanical properties of current-generation endografts suboptimal for AAA repair? (2006) (2)
- A partitioned numerical scheme for fluid–structure interaction with slip (2020) (2)
- Use of Auricular Chondrocytes for Lining Artificial Surfaces: A Mathematical Model (2008) (2)
- A computational study on the generation of the Coanda effect in a mock heart chamber (Mathematical Analysis of Viscous Incompressible Fluid) (2016) (2)
- Progress in Mathematical Fluid Dynamics (2020) (2)
- Emerging Trends in Heart Valve Engineering: Part I. Solutions for Future (2014) (2)
- Integrated Stent Models Based on Dimension Reduction: Review and Future Perspectives (2015) (1)
- GENETICALLY ENGINEERED MAMMALIAN CELLS COULD IMPROVE THE BIOCOMPATIBILITY OF IMPLANTABLE CARDIOVASCULAR DEVICES (2007) (1)
- Modeling of free boundary flows with applications to blood flo w (2010) (1)
- Optimal design of vascular stents using a network of 1D slender curved rods (2022) (1)
- Comparison of Time Discretization Schemes to Simulate the Motion of an Inextensible Beam (2013) (1)
- A Higher-Order Discontinuous Galerkin/Arbitrary Lagrangian Eulerian Partitioned Approach to Solving Fluid–Structure Interaction Problems with Incompressible, Viscous Fluids and Elastic Structures (2017) (1)
- Homogenization Closure For A Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow (2007) (1)
- Emerging Trends in Heart Valve Engineering: Part IV. Computational Modeling and Experimental Studies (2015) (1)
- Emerging Trends in Heart Valve Engineering: Part III. Novel Technologies for Mitral Valve Repair and Replacement (2014) (1)
- Emerging Trends in Heart Valve Engineering: Part II. Novel and Standard Technologies for Aortic Valve Replacement (2014) (0)
- SELF-SIMILAR PROBLEMS IN MULTIDIMENSIONAL CONSERVATION LAWS (2002) (0)
- Analysis of a linear 3D fluid–mesh–shell interaction problem (2019) (0)
- Numerical modeling of the design of bifurcated prostheses used in the treatment of abdominal aortic aneurysm (2006) (0)
- Title A Partitioned Scheme for Fluid-Structure and Structure- Structure Interaction with Slip (Mathematical Analysis of Viscous Incompressible Fluid) (2019) (0)
- Mathematical and Computational Modeling of Poroelastic Cell Scaffolds Used in the Design of an Implantable Bioartificial Pancreas (2022) (0)
- Modeling Arterial Walls as Composite Structures, and Their Interaction with Pulsatile Blood Flow (2015) (0)
- Title Emerging Trends in Heart Valve Engineering : Part II . Novel and Standard Technologies for Aortic Valve Replacement Permalink (2014) (0)
- A Nonlinear Fluid-Structure Interaction Problem in Compliant Arteries Treated with Vascular Stents (2016) (0)
- A pr 2 02 1 Deterministic ill-posedness and probabilistic well-posedness of the viscous nonlinear wave equation describing fluid-structure interaction (2021) (0)
- Abstract 15896: Computational Mathematical Analysis of Different Stent Geometries and Arterial Wall Response in Tortuous Coronary Artery (2019) (0)
- Fluid-Structure Interaction with Incompressible Fluids (2020) (0)
- A RIEMANN PROBLEM FOR THE ISENTROPIC GAS DYNAMICS EQUATIONS (2006) (0)
- 3D Experimental and Computational Analysis of Eccentric Mitral Regurgitant Jets in a Mock Imaging Heart Chamber (2017) (0)
- Mechanical Behavior of fully expanded endovascular stents (2008) (0)
- One method for indirect speed estimation in vector controlled induction machine drive (2002) (0)
- A Modular , Operator (2013) (0)
- Mathematics and Cardiology : Partners for the Future (2007) (0)
- The induction machine vector controlled drive in the volumetric dosage application (1996) (0)
- Runge–Kutta Discontinuous Galerkin Method for Traffic Flow Model on Networks (2014) (0)
- A Monolithic Approach to Fluid–Composite Structure Interaction (2017) (0)
- A Partitioned Scheme for Fluid-Structure and Structure-Structure Interaction with Slip (Mathematical Analysis of Viscous Incompressible Fluid) (2017) (0)
- Kinematically coupled algorithms for fluid-structure inte raction in blood flow simulations (2008) (0)
- Hyperbolic-parabolic fluid-structure interaction in blood flow (2013) (0)
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