Inverse Problems for One-Dimensional Fluid-Solid Interaction Models

被引：0

作者：

Apraiz, J. ^{[1
]}

Doubova, A. ^{[2
]}

Fernandez-Cara, E. ^{[2
]}

Yamamoto, M. ^{[3
]}

机构：

[1] Univ Basque Country, Fac Ciencia & Tecnol, Dept Matemat, Barrio Sarriena s n, Leioa 48940, Bizkaia, Spain

[2] Univ Seville, Dept EDAN & IMUS, Campus Reina Mercedes, Seville 41012, Spain

[3] Univ Tokyo, Grad Sch Math Sci, Meguro, Tokyo 1538914, Japan

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2024年

基金：

日本学术振兴会;

关键词：

Burgers equation; Fluid-solid interaction; Free boundaries; Inverse problems; Stability; Uniqueness; SIMPLIFIED 1D MODEL; LARGE TIME BEHAVIOR;

D O I：

10.1007/s42967-024-00437-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a one-dimensional fluid-solid interaction model governed by the Burgers equation with a time varying interface. We discuss the inverse problem of determining the shape of the interface from Dirichlet and Neumann data at one endpoint of the spatial interval. In particular, we establish unique results and some conditional stability estimates. For the proofs, we use and adapt some lateral estimates that, in turn, rely on appropriate Carleman and interpolation inequalities.

引用

页数：15

共 50 条

[11] THE FACTORIZATION METHOD FOR AN INVERSE FLUID-SOLID INTERACTION SCATTERING PROBLEM
Kirsch, Andreas
Ruiz, Albert
INVERSE PROBLEMS AND IMAGING, 2012, 6 (04) : 681 - 695
[12] One method of Fluid-Solid coupled interaction simulation
Lin, Y. W.
You, X. C.
Zhuang, Z.
ADVANCES IN FRACTURE AND MATERIALS BEHAVIOR, PTS 1 AND 2, 2008, 33-37 : 1095 - 1100
[13] Practical problems of dynamic similarity criteria in fluid-solid interaction at different fluid-solid relative motions
Flaga, Andrzej
Klaput, Renata
Flaga, Lukasz
ARCHIVES OF CIVIL ENGINEERING, 2024, 70 (01) : 97 - 120
[14] Mathematical models for fluid-solid interaction and their numerical solutions
Surana, K. S.
Blackwell, B.
Powell, M.
Reddy, J. N.
JOURNAL OF FLUIDS AND STRUCTURES, 2014, 50 : 184 - 216
[15] THE EFFECTS OF DISSIPATION IN ONE-DIMENSIONAL INVERSE PROBLEMS
CORONES, JP
DAVISON, ME
KRUEGER, RJ
PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS, 1983, 413 : 107 - 114
[16] STABILITY CONSIDERATIONS FOR ONE-DIMENSIONAL INVERSE PROBLEMS
GRAY, SH
SYMES, WW
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1985, 80 (01): : 149 - 163
[17] Modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem
Monk, Peter
Selgas, Virginia
RESEARCH IN THE MATHEMATICAL SCIENCES, 2022, 9 (01)
[18] APPLYING EVOLUTION STRATEGIES TO THE OPTIMIZATION OF FLUID-SOLID INTERACTION PROBLEMS
Botello, Salvador
Esqueda, Humberto
Hernandez, Arturo
Zarate, Francisco
Valdes, J. Gerardo
REVISTA INTERNACIONAL DE METODOS NUMERICOS PARA CALCULO Y DISENO EN INGENIERIA, 2007, 23 (04): : 415 - 428
[19] An immersed boundary method to solve fluid-solid interaction problems
Noor, Dedy Zulhidayat
Chern, Ming-Jyh
Horng, Tzyy-Leng
COMPUTATIONAL MECHANICS, 2009, 44 (04) : 447 - 453
[20] ON DYNAMICAL THREE-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM
Avalishvili, Gia
Avalishvili, Mariam
Gordeziani, David
GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (04) : 601 - 618

← 1 2 3 4 5 →