Dr Valeria Giunta

Darlithydd Dadansoddi Rhifiadol Hafaliadau Differol Rhannol

Mathematics

valeria.giunta@abertawe.ac.uk

304
Trydydd Llawr
Y Ffowndri Gyfrifiadol
Campws y Bae

Ar gael ar gyfer Goruchwyliaeth Ôl-raddedig

Dolenni Ymchwil

https://orcid.org/0000-0003-1156-7136

ResearchGate

Google Scholar

Trosolwg

Rwy'n ddarlithydd yn yr Adran Fathemateg ym Mhrifysgol Abertawe.

Caiff fy ymchwil ei hysbrydoli gan bynciau biolegol ac ecolegol ac rwyf yn archwilio'r pynciau hyn drwy ddatblygu a dadansoddi modelau mathemategol. Yn fwy penodol, yn fy ymchwil rwyf yn disgrifio ymddygiad rhywogaethau sy'n rhyngweithio â'i gilydd drwy systemau hafaliadau adwaith-trylediad sy'n ymgorffori naill ai croes-drylediad, cemotacsis neu dermau llorfudol anleol. Rwyf yn cyfuno amrywiaeth fawr o offer dadansoddol a rhifiadol i ddatgelu'r mecanweithiau

y tu ôl i ffenomena cydgrynhoad a welir ym myd natur. Yn bennaf rwyf wedi gweithio ar fodelau cemotacsis-adwaith-trylediad ar gyfer clefydau llidiol ac awtoimiwnedd, megis sglerosis ymledol, yn ogystal â gweithio ar fodelau llorfudiad-trylediad anleol sy'n disgrifio dosbarthiad gofod-amser rhywogaethau sy'n rhyngweithio â'i gilydd mewn ecosystemau.

Meysydd Arbenigedd

Modelu Mathemategol
Bioleg Fathemategol
Hafaliadau Differol Rhannol Aflinol
Systemau cemotacsis-adwaith-trylediad
Systemau cydgrynhoad anleol
Ffurfio patrymau
Dadansoddiad Fforchogedd
Bodolaeth atebion i broblemau a'u hunigrywiaeth a'u sefydlogrwyd

Cyhoeddiadau

Uchafbwyntiau Ymchwil

Giunta, V., Hillen, T., Lewis, M., & Potts, J. (2024). Weakly nonlinear analysis of a two-species non-local advection–diffusion system. Nonlinear Analysis: Real World Applications, 78, 104086
https://doi.org/10.1016/j.nonrwa.2024.104086, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64703
Gambino, G., Giunta, V., Lombardo, M., & Rubino, G. (2022). Cross-diffusion effects on stationary pattern formation in the FitzHugh-Nagumo model. Discrete and Continuous Dynamical Systems - B, 27(12), 7783-7816.
https://doi.org/10.3934/dcdsb.2022063, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64702
http://dx.doi.org/10.3934/dcdsb.2022063
Giunta, V., Hillen, T., Lewis, M., & Potts, J. (2022). Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species. Journal of Mathematical Biology, 85(5)
https://doi.org/10.1007/s00285-022-01824-1, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64701
http://dx.doi.org/10.1007/s00285-022-01824-1
Desvillettes, L., Giunta, V., Morgan, J., & Tang, B. (2022). Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 152(4), 826-856.
https://doi.org/10.1017/prm.2021.33, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64700
http://dx.doi.org/10.1017/prm.2021.33
Potts, J., Giunta, V., & Lewis, M. (2022). Beyond resource selection: emergent spatio–temporal distributions from animal movements and stigmergent interactions. Oikos, 2022(6)
https://doi.org/10.1111/oik.09188, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64698
http://dx.doi.org/10.1111/oik.09188
Giunta, V., Hillen, T., Lewis, M., & Potts, J. (2022). Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models. SIAM Journal on Applied Dynamical Systems, 21(3), 1686-1708.
https://doi.org/10.1137/21m1425992, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64697
http://dx.doi.org/10.1137/21m1425992
Desvillettes, L. & Giunta, V. (2021). Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis. Ricerche di Matematica, 70(1), 99-113.
https://doi.org/10.1007/s11587-020-00495-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64696
http://dx.doi.org/10.1007/s11587-020-00495-8
Giunta, V., Lombardo, M., & Sammartino, M. (2021). Pattern formation and transition to chaos in a chemotaxis model of acute inflammation. SIAM Journal on Applied Dynamical Systems, 20(4), 1844-1881.
https://doi.org/10.1137/20M1358104, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64695
https://doi.org/10.1137/20M1358104

Holl Ymchwil

Erthyglau Cylchgronau

Giunta, V., Hillen, T., Lewis, M., & Potts, J. (2024). Weakly nonlinear analysis of a two-species non-local advection–diffusion system. Nonlinear Analysis: Real World Applications, 78, 104086
https://doi.org/10.1016/j.nonrwa.2024.104086, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64703
Gambino, G., Giunta, V., Lombardo, M., & Rubino, G. (2022). Cross-diffusion effects on stationary pattern formation in the FitzHugh-Nagumo model. Discrete and Continuous Dynamical Systems - B, 27(12), 7783-7816.
https://doi.org/10.3934/dcdsb.2022063, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64702
http://dx.doi.org/10.3934/dcdsb.2022063
Giunta, V., Hillen, T., Lewis, M., & Potts, J. (2022). Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species. Journal of Mathematical Biology, 85(5)
https://doi.org/10.1007/s00285-022-01824-1, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64701
http://dx.doi.org/10.1007/s00285-022-01824-1
Giunta, V., Hillen, T., Lewis, M., & Potts, J. (2022). Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models. SIAM Journal on Applied Dynamical Systems, 21(3), 1686-1708.
https://doi.org/10.1137/21m1425992, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64697
http://dx.doi.org/10.1137/21m1425992
Desvillettes, L., Giunta, V., Morgan, J., & Tang, B. (2022). Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 152(4), 826-856.
https://doi.org/10.1017/prm.2021.33, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64700
http://dx.doi.org/10.1017/prm.2021.33
Potts, J., Giunta, V., & Lewis, M. (2022). Beyond resource selection: emergent spatio–temporal distributions from animal movements and stigmergent interactions. Oikos, 2022(6)
https://doi.org/10.1111/oik.09188, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64698
http://dx.doi.org/10.1111/oik.09188
Giunta, V., Lombardo, M., & Sammartino, M. (2021). Pattern formation and transition to chaos in a chemotaxis model of acute inflammation. SIAM Journal on Applied Dynamical Systems, 20(4), 1844-1881.
https://doi.org/10.1137/20M1358104, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64695
https://doi.org/10.1137/20M1358104
Desvillettes, L. & Giunta, V. (2021). Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis. Ricerche di Matematica, 70(1), 99-113.
https://doi.org/10.1007/s11587-020-00495-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64696
http://dx.doi.org/10.1007/s11587-020-00495-8

Modiwlau a Addysgir

MA-241 Differential Equations

This module is an elementary course on the theory and methods for ordinary differential equations (ODEs). It combines a rigorous approach to the existence and uniqueness of solutions with methods for finding explicit solutions to ODEs. Applications are discussed to concrete problems in Physics and Biology.
MA-302 Numerics of ODEs and PDEs

This module is focused on numerical schemes suitable for the approximate solution of ODEs and PDEs. Whilst the methods may look different the underlying principles and convergence issues are remarkably similar. Many standard algorithms will be presented along with an analysis of their behaviour.
MA-M02 Numerics of ODEs and PDEs

This module is focused on numerical schemes suitable for the approximate solution of ODEs and PDEs. Whilst the methods may look different the underlying principles and convergence issues are remarkably similar. Many standard algorithms will be presented along with an analysis of their behaviour.

Hanes Gyrfa

PhD, Prifysgol Catania (Yr Eidal)

Tachwedd 2015 - Chwefror 2019

Swyddi Cysylltiedig

Cydymaith Ymchwil , Prifysgol Palermo (Yr Eidal)

2020 - 2020
Cydymaith Ymchwil , Prifysgol Sheffield

2021 - 2023

Dr Valeria Giunta

Cyfeiriad ebost

Twitter Account

Dolenni Ymchwil

Trosolwg

Meysydd Arbenigedd

Cyhoeddiadau

Uchafbwyntiau Ymchwil

Holl Ymchwil

Erthyglau Cylchgronau

Modiwlau a Addysgir

MA-241 Differential Equations

MA-302 Numerics of ODEs and PDEs

MA-M02 Numerics of ODEs and PDEs

Hanes Gyrfa

PhD, Prifysgol Catania (Yr Eidal)

Swyddi Cysylltiedig

Cydymaith Ymchwil , Prifysgol Palermo (Yr Eidal)

Cydymaith Ymchwil , Prifysgol Sheffield