-
1
-
-
0141749404
-
Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi-symmetric vessels
-
Čanić S., and Kim E.H. Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi-symmetric vessels. Math. Methods Appl. Sci. 26 14 (2003) 1161-1186
-
(2003)
Math. Methods Appl. Sci.
, vol.26
, Issue.14
, pp. 1161-1186
-
-
Čanić, S.1
Kim, E.H.2
-
2
-
-
22544483043
-
Self-consistent effective equations modeling blood flow in medium-to-large compliant arteries
-
Čanić S., Lamponi D., Mikelić A., and Tambača J. Self-consistent effective equations modeling blood flow in medium-to-large compliant arteries. SIAM J. Multiscale Model. Comp. 3 3 (2005) 559-596
-
(2005)
SIAM J. Multiscale Model. Comp.
, vol.3
, Issue.3
, pp. 559-596
-
-
Čanić, S.1
Lamponi, D.2
Mikelić, A.3
Tambača, J.4
-
4
-
-
0000439094
-
A system of hyperbolic conservation laws with frictional damping
-
(special issue)
-
Dafermos C.M. A system of hyperbolic conservation laws with frictional damping. Z. Angew. Math. Phys. 46 (1995) 294-307 (special issue)
-
(1995)
Z. Angew. Math. Phys.
, vol.46
, pp. 294-307
-
-
Dafermos, C.M.1
-
5
-
-
0000824680
-
Hyperbolic systems of balance laws with inhomogeneity and dissipation
-
Dafermos C.M., and Hsiao L. Hyperbolic systems of balance laws with inhomogeneity and dissipation. Indiana Univ. Math. J. 31 (1982) 471-491
-
(1982)
Indiana Univ. Math. J.
, vol.31
, pp. 471-491
-
-
Dafermos, C.M.1
Hsiao, L.2
-
6
-
-
33644696037
-
Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs
-
Fernández M., Milišić V., and Quarteroni A. Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs. SIAM J. Multiscale Model. Simul. 4 1 (2005) 215-236
-
(2005)
SIAM J. Multiscale Model. Simul.
, vol.4
, Issue.1
, pp. 215-236
-
-
Fernández, M.1
Milišić, V.2
Quarteroni, A.3
-
7
-
-
0030578133
-
Initial-boundary value problems for conservation laws
-
Frid H. Initial-boundary value problems for conservation laws. J. Differential Equations 128 1 (1996) 1-45
-
(1996)
J. Differential Equations
, vol.128
, Issue.1
, pp. 1-45
-
-
Frid, H.1
-
8
-
-
33947270627
-
-
J. Goodman, Initial boundary value problems for hyperbolic systems of conservation laws, PhD thesis, Standford University, California, 1982
-
-
-
-
9
-
-
0141462542
-
Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
-
Hanouzet B., and Natalini R. Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. Arch. Ration. Mech. Anal. 169 2 (2003) 89-117
-
(2003)
Arch. Ration. Mech. Anal.
, vol.169
, Issue.2
, pp. 89-117
-
-
Hanouzet, B.1
Natalini, R.2
-
10
-
-
32044464098
-
A proposed parent vessel geometry-based categorization of saccular intracranial aneurysms: Computational flow dynamics analysis of the risk factors for lesion rupture
-
Hassan T., Shimizu H., Matsumoto Y., and Tominaga T. A proposed parent vessel geometry-based categorization of saccular intracranial aneurysms: Computational flow dynamics analysis of the risk factors for lesion rupture. J. Neurosurgery 103 (2005) 662-680
-
(2005)
J. Neurosurgery
, vol.103
, pp. 662-680
-
-
Hassan, T.1
Shimizu, H.2
Matsumoto, Y.3
Tominaga, T.4
-
11
-
-
33947257074
-
Quasilinear hyperbolic systems with damping mechanism
-
Macau, 1998, World Sci. Publ., River Edge, NJ
-
Hsiao L. Quasilinear hyperbolic systems with damping mechanism. Nonlinear Evolution Equations and Their Applications. Macau, 1998 (1999), World Sci. Publ., River Edge, NJ 81-91
-
(1999)
Nonlinear Evolution Equations and Their Applications
, pp. 81-91
-
-
Hsiao, L.1
-
12
-
-
33947229609
-
Asymptotic behavior of entropy weak solution for hyperbolic system with damping
-
Hyperbolic Problems: Theory, Numerics, Applications. Magdeburg, 2000, Birkhäuser, Basel
-
Hsiao L., and Li H. Asymptotic behavior of entropy weak solution for hyperbolic system with damping. Hyperbolic Problems: Theory, Numerics, Applications. Magdeburg, 2000. Internat. Ser. Numer. Math. vols. I, II (140, 141) (2001), Birkhäuser, Basel 535-542
-
(2001)
Internat. Ser. Numer. Math.
, vol.1-2
, Issue.140-141
, pp. 535-542
-
-
Hsiao, L.1
Li, H.2
-
13
-
-
0036677893
-
Shock reflection for the damped p-system
-
Hsiao L., and Li H. Shock reflection for the damped p-system. Quart. Appl. Math. 60 3 (2002) 437-460
-
(2002)
Quart. Appl. Math.
, vol.60
, Issue.3
, pp. 437-460
-
-
Hsiao, L.1
Li, H.2
-
14
-
-
0007505885
-
The damped p-system with boundary effects
-
Nonlinear PDE's, Dynamics and Continuum Physics. South Hadley, MA, 1998, Amer. Math. Soc., Providence, RI
-
Hsiao L., and Pan R. The damped p-system with boundary effects. Nonlinear PDE's, Dynamics and Continuum Physics. South Hadley, MA, 1998. Contemp. Math. vol. 255 (2000), Amer. Math. Soc., Providence, RI 109-123
-
(2000)
Contemp. Math.
, vol.255
, pp. 109-123
-
-
Hsiao, L.1
Pan, R.2
-
15
-
-
28044440692
-
Nonlinear analysis of arterial blood flow-stead streaming effect
-
Jayaraman G., and Sarkar A. Nonlinear analysis of arterial blood flow-stead streaming effect. Nonlinear Anal. 63 (2005) 880-890
-
(2005)
Nonlinear Anal.
, vol.63
, pp. 880-890
-
-
Jayaraman, G.1
Sarkar, A.2
-
16
-
-
0022062107
-
A circle of Willis simulation using distensible vessels and pulsatile flow
-
Kufahl R.H., and Clark M.E. A circle of Willis simulation using distensible vessels and pulsatile flow. J. Biomechanical Engineering 107 (1985) 112-122
-
(1985)
J. Biomechanical Engineering
, vol.107
, pp. 112-122
-
-
Kufahl, R.H.1
Clark, M.E.2
-
17
-
-
0003465255
-
Global Classical Solutions for Quasilinear Hyperbolic Systems
-
Giarlet P.G., and Lions L.L. (Eds), John Wiley & Sons, New York
-
Li T.-T. Global Classical Solutions for Quasilinear Hyperbolic Systems. In: Giarlet P.G., and Lions L.L. (Eds). Res. Appl. Math. Ser. (1994), John Wiley & Sons, New York
-
(1994)
Res. Appl. Math. Ser.
-
-
Li, T.-T.1
-
18
-
-
0003656444
-
Boundary Value Problems for Quasilinear Hyperbolic Systems
-
Li T.-T., and Yu W. Boundary Value Problems for Quasilinear Hyperbolic Systems. Duke Univ. Math. Ser. V (1985)
-
(1985)
Duke Univ. Math. Ser. V
-
-
Li, T.-T.1
Yu, W.2
-
19
-
-
0000709778
-
Quasilinear hyperbolic systems
-
Liu T.-P. Quasilinear hyperbolic systems. Comm. Math. Phys. 68 (1979) 141-172
-
(1979)
Comm. Math. Phys.
, vol.68
, pp. 141-172
-
-
Liu, T.-P.1
-
20
-
-
0034172704
-
Approximation of solutions for nonlinear problems with an application to the study of aneurysms of the circle of Willis
-
Nieto J., and Torres A. Approximation of solutions for nonlinear problems with an application to the study of aneurysms of the circle of Willis. Nonlinear Anal. 40 (2000) 513-521
-
(2000)
Nonlinear Anal.
, vol.40
, pp. 513-521
-
-
Nieto, J.1
Torres, A.2
-
21
-
-
0038503403
-
Biomathematical modeling and analysis of blood flow in an intracranial aneurysm
-
Nikolov S., Stoytchev S., Torres A., and Nieto J. Biomathematical modeling and analysis of blood flow in an intracranial aneurysm. Neurological Res. 25 (2003) 497-504
-
(2003)
Neurological Res.
, vol.25
, pp. 497-504
-
-
Nikolov, S.1
Stoytchev, S.2
Torres, A.3
Nieto, J.4
-
22
-
-
0000110333
-
Mixed problems for nonlinear conservation laws
-
Nishida T., and Smoller J. Mixed problems for nonlinear conservation laws. J. Differential Equations 23 (1977) 244-269
-
(1977)
J. Differential Equations
, vol.23
, pp. 244-269
-
-
Nishida, T.1
Smoller, J.2
-
23
-
-
0022708698
-
A finite-element model of blood flow in arteries including taper, branches, and obstructions
-
Porenta G., Young D.F., and Rogge T.R. A finite-element model of blood flow in arteries including taper, branches, and obstructions. J. Biomechanical Engineering 108 (1986) 161-167
-
(1986)
J. Biomechanical Engineering
, vol.108
, pp. 161-167
-
-
Porenta, G.1
Young, D.F.2
Rogge, T.R.3
-
24
-
-
85006589834
-
Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations
-
Quarteroni A., and Veneziani A. Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Multiscale Model. Simul. 1 2 (2003) 173-195
-
(2003)
Multiscale Model. Simul.
, vol.1
, Issue.2
, pp. 173-195
-
-
Quarteroni, A.1
Veneziani, A.2
-
25
-
-
0036411415
-
Mathematical and numerical modeling of solute dynamics in blood flow and arterial walls
-
Quarteroni A., Veneziani A., and Zunino P. Mathematical and numerical modeling of solute dynamics in blood flow and arterial walls. SIAM J. Numer. Anal. 39 (2001) 1488-1511
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1488-1511
-
-
Quarteroni, A.1
Veneziani, A.2
Zunino, P.3
-
26
-
-
0036449606
-
A domain decomposition method for advection-diffusion processes with application to blood solutes
-
Quarteroni A., Veneziani A., and Zunino P. A domain decomposition method for advection-diffusion processes with application to blood solutes. SIAM J. Sci. Comput. 23 (2002) 1959-1980
-
(2002)
SIAM J. Sci. Comput.
, vol.23
, pp. 1959-1980
-
-
Quarteroni, A.1
Veneziani, A.2
Zunino, P.3
-
27
-
-
33947248758
-
-
J.K. Raines, M.Y. Jaffrin, A.H. Shapiro, A computer simulation of the human arterial system, in: Proceedings of the 1971 Summer Computer Conference, vol. 2, 1971, pp. 890-899
-
-
-
-
28
-
-
0015975225
-
A computer simulation of arterial dynamics in the human leg
-
Raines J.K., Jaffrin M.Y., and Shapiro A.H. A computer simulation of arterial dynamics in the human leg. J. Biomechanics 7 (1974) 77-91
-
(1974)
J. Biomechanics
, vol.7
, pp. 77-91
-
-
Raines, J.K.1
Jaffrin, M.Y.2
Shapiro, A.H.3
-
29
-
-
2542458501
-
A hyperbolic system of equations of blood flow in an arterial network
-
Ruan W., Clark M.E., Zhao M., and Curcio A. A hyperbolic system of equations of blood flow in an arterial network. J. Appl. Math. 64 2 (2003) 637-667
-
(2003)
J. Appl. Math.
, vol.64
, Issue.2
, pp. 637-667
-
-
Ruan, W.1
Clark, M.E.2
Zhao, M.3
Curcio, A.4
-
31
-
-
33947243627
-
A quasilinear hyperbolic system that models blood flow in a network
-
Benton C.V. (Ed), Nova Science Publishers, Inc., New York
-
Ruan W., Clark M.E., Zhao M., and Curcio A. A quasilinear hyperbolic system that models blood flow in a network. In: Benton C.V. (Ed). Focus on Mathematical Physics Research (2004), Nova Science Publishers, Inc., New York 203-230
-
(2004)
Focus on Mathematical Physics Research
, pp. 203-230
-
-
Ruan, W.1
Clark, M.E.2
Zhao, M.3
Curcio, A.4
-
32
-
-
0036302210
-
An anatomically based model of transient coronary blood flow in the heart
-
Smith N.P., Pullan A.J., and Hunter P.J. An anatomically based model of transient coronary blood flow in the heart. SIAM J. Appl. Math. 62 3 (2002) 990-1018
-
(2002)
SIAM J. Appl. Math.
, vol.62
, Issue.3
, pp. 990-1018
-
-
Smith, N.P.1
Pullan, A.J.2
Hunter, P.J.3
-
33
-
-
33947259650
-
Effective model of the fluid flow through elastic tube with variable radius
-
Tambača J., Čanić S., and Mikelić A. Effective model of the fluid flow through elastic tube with variable radius. Grazer Math. Ber. 348 (2005) 91-112
-
(2005)
Grazer Math. Ber.
, vol.348
, pp. 91-112
-
-
Tambača, J.1
Čanić, S.2
Mikelić, A.3
-
34
-
-
0022912851
-
A global mathematical model of the cerebral circulation in man
-
Zagzoule M., and Marc-Vergnes J.-P. A global mathematical model of the cerebral circulation in man. J. Biomechanics 19 (1986) 1015-1022
-
(1986)
J. Biomechanics
, vol.19
, pp. 1015-1022
-
-
Zagzoule, M.1
Marc-Vergnes, J.-P.2
|