Dataset.
Bulk-Boundary eigenvalues for Bilaplacian problems
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/340214
Digital.CSIC. Repositorio Institucional del CSIC
- Buoso, Davide
- Falcó, Carles
- González, María del Mar
- Miranda, Manuel
We initiate the study of a bulk-boundary eigenvalue problem for the Bilaplacian with a particular third order boundary condition that arises from the study of dynamical boundary conditions for the Cahn-Hilliard equation. First we consider continuity properties under parameter variation (in which the parameter also affects the domain of definition of the operator). Then we look at the ball and the annulus geometries (together with the punctured ball), obtaining the eigenvalues as solutions of a precise equation involving special functions. An interesting outcome of our analysis in the annulus case is the presence of a bifurcation from the zero eigenvalue depending on the size of the annulus., This work was initiated while C. Falcó was participating in the program “Introducción a la Investigación
Severo Ochoa” grant at the Instituto de Ciencias Matemáticas (ICMAT). M.d.M. González acknowledges financial support from the Spanish Government, grant numbers MTM2017-85757-P, PID2020-
113596GB-I00; additionally, Grant RED2018-102650-T funded by MCIN/AEI/10.13039/501100011033,
and the “Severo Ochoa Programme for Centers of Excellence in R&D” (CEX2019-000904-S)., With funding from the Spanish government through the "Severo Ochoa Centre of Excellence" accreditation (CEX2019-000904-S)., No
DOI: http://hdl.handle.net/10261/340214
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/340214
HANDLE: http://hdl.handle.net/10261/340214
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/340214
Ver en: http://hdl.handle.net/10261/340214
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/340214
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1 Documentos relacionados
1 Documentos relacionados
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/340212
Artículo científico (article). 2023
BULK-BOUNDARY EIGENVALUES FOR BILAPLACIAN PROBLEMS
Digital.CSIC. Repositorio Institucional del CSIC
- Buoso, Davide
- Falcó, Carles
- González, María del Mar
- Miranda, Manuel
We initiate the study of a bulk-boundary eigenvalue problem for the Bilaplacian with a particular third order boundary condition that arises from the study of dynamical boundary conditions for the Cahn-Hilliard equation. First we consider continuity properties under parameter variation (in which the parameter also affects the domain of definition of the operator). Then we look at the ball and the annulus geometries (together with the punctured ball), obtaining the eigenvalues as solutions of a precise equation involving special functions. An interesting outcome of our analysis in the annulus case is the presence of a bifurcation from the zero eigenvalue depending on the size of the annulus., This work was initiated while C. Falcó was participating in the program “Introducción a la Investigación
Severo Ochoa” grant at the Instituto de Ciencias Matemáticas (ICMAT). M.d.M. González acknowledges financial support from the Spanish Government, grant numbers MTM2017-85757-P, PID2020-
113596GB-I00; additionally, Grant RED2018-102650-T funded by MCIN/AEI/10.13039/501100011033,
and the “Severo Ochoa Programme for Centers of Excellence in R&D” (CEX2019-000904-S)., With funding from the Spanish government through the "Severo Ochoa Centre of Excellence" accreditation (CEX2019-000904-S)., No
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1 Versiones
1 Versiones
Digital.CSIC. Repositorio Institucional del CSIC
oai:digital.csic.es:10261/340214
Dataset. 2022
BULK-BOUNDARY EIGENVALUES FOR BILAPLACIAN PROBLEMS
Digital.CSIC. Repositorio Institucional del CSIC
- Buoso, Davide
- Falcó, Carles
- González, María del Mar
- Miranda, Manuel
We initiate the study of a bulk-boundary eigenvalue problem for the Bilaplacian with a particular third order boundary condition that arises from the study of dynamical boundary conditions for the Cahn-Hilliard equation. First we consider continuity properties under parameter variation (in which the parameter also affects the domain of definition of the operator). Then we look at the ball and the annulus geometries (together with the punctured ball), obtaining the eigenvalues as solutions of a precise equation involving special functions. An interesting outcome of our analysis in the annulus case is the presence of a bifurcation from the zero eigenvalue depending on the size of the annulus., This work was initiated while C. Falcó was participating in the program “Introducción a la Investigación
Severo Ochoa” grant at the Instituto de Ciencias Matemáticas (ICMAT). M.d.M. González acknowledges financial support from the Spanish Government, grant numbers MTM2017-85757-P, PID2020-
113596GB-I00; additionally, Grant RED2018-102650-T funded by MCIN/AEI/10.13039/501100011033,
and the “Severo Ochoa Programme for Centers of Excellence in R&D” (CEX2019-000904-S)., With funding from the Spanish government through the "Severo Ochoa Centre of Excellence" accreditation (CEX2019-000904-S)., No
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