TY - GEN
T1 - Beris-Edward's model with absence of flow
AU - Barbera, Daniele
AU - Georgiev, Vladimir
N1 - Funding Information:
Daniele Barbera is supported in part by INDAM - Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni. Vladimir Georgiev is partially supported by Project 2017 ”Problemi stazionari e di evoluzione nelle equazioni di campo nonlineari” of INDAM, GNAMPA - Gruppo Nazionale per l’Analisi Matematica, la Probabilita e le loro Applicazioni, by Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, by Top Global University Project, Waseda University and project PRIN 2020XB3EFL.
Publisher Copyright:
© 2022 Author(s).
PY - 2022/4/5
Y1 - 2022/4/5
N2 - The article treats the Beris-Edward's Model for liquid crystals with absence of flow. In particular, we consider the case of energy functionals unbounded from below. At the beginning we prove the existence of ground states for the stationary problem set in several open sets and with different boundary conditions. The last part is devoted to the evolution problem in ℝ3, where we establish local and global existence with small initial data. The results come from several applications of Strichartz-type estimates and by contraction arguments.
AB - The article treats the Beris-Edward's Model for liquid crystals with absence of flow. In particular, we consider the case of energy functionals unbounded from below. At the beginning we prove the existence of ground states for the stationary problem set in several open sets and with different boundary conditions. The last part is devoted to the evolution problem in ℝ3, where we establish local and global existence with small initial data. The results come from several applications of Strichartz-type estimates and by contraction arguments.
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U2 - 10.1063/5.0083946
DO - 10.1063/5.0083946
M3 - Conference contribution
AN - SCOPUS:85128043712
T3 - AIP Conference Proceedings
BT - 8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021
A2 - Slavova, Angela
PB - American Institute of Physics Inc.
T2 - 8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021
Y2 - 6 September 2021 through 10 September 2021
ER -