Existence and uniqueness of solutions for Shock-like Hemodynamic waves model
被引:0
作者:
Ghattassi, Mohamed
论文数: 0引用数: 0
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机构:
New York Univ Abu Dhabi, Dept Math, POB 129188, Abu Dhabi, U Arab Emirates
Univ Gabes, Fac Sci Gabes, Dept Math, Gabes, TunisiaNew York Univ Abu Dhabi, Dept Math, POB 129188, Abu Dhabi, U Arab Emirates
Ghattassi, Mohamed
[1
,2
]
机构:
[1] New York Univ Abu Dhabi, Dept Math, POB 129188, Abu Dhabi, U Arab Emirates
[2] Univ Gabes, Fac Sci Gabes, Dept Math, Gabes, Tunisia
Hemodynamic waves;
Fixed point theorem;
Well-posedness criteria;
D O I:
10.1016/j.aml.2023.108797
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
This paper is devoted to the existence and uniqueness of solutions for the hemodynamic waves model. A hyperbolic system describing the total mass density of the brain which is the sum of the contributions due to the brain tissue and blood is discussed. Then, the fixed point theorem is used to show the well-posedness criteria of the mass density of the blood system. & COPY; 2023 Elsevier Ltd. All rights reserved.
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Queensland Inst Med Res, Herston, Qld 4006, Australia
Univ New S Wales, Sch Psychiat, Sydney, NSW, Australia
Black Dog Inst, Sydney, NSW, Australia
Royal Brisbane & Womens Hosp, Brisbane, Qld, AustraliaUniv Sydney, Sch Phys, Sydney, NSW 2006, Australia
机构:
Neurosci Res Australia, Randwick, NSW, Australia
Univ New S Wales, Sch Psychol, Kensington, NSW 2033, AustraliaUniv Sydney, Sch Phys, Sydney, NSW 2006, Australia
Schira, Mark M.
Robinson, P. A.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia
Univ Sydney, Sydney Med Sch Western, Brain Dynam Ctr, Sydney, NSW 2006, AustraliaUniv Sydney, Sch Phys, Sydney, NSW 2006, Australia
Robinson, P. A.
Drysdale, Peter M.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia
Univ Sydney, Sydney Med Sch Western, Brain Dynam Ctr, Sydney, NSW 2006, AustraliaUniv Sydney, Sch Phys, Sydney, NSW 2006, Australia
Drysdale, Peter M.
Breakspear, Michael
论文数: 0引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Herston, Qld 4006, Australia
Univ New S Wales, Sch Psychiat, Sydney, NSW, Australia
Black Dog Inst, Sydney, NSW, Australia
Royal Brisbane & Womens Hosp, Brisbane, Qld, AustraliaUniv Sydney, Sch Phys, Sydney, NSW 2006, Australia