64 citations
- Chonnam National UniversityKR3 papers
- Pusan National UniversityKR3 papers
- Weizmann Institute of ScienceIL3 papers
- Banaras Hindu UniversityIN2 papers
- Los Alamos National LaboratoryUS2 papers
- Ames National LaboratoryUS1 paper
- Asia Pacific Center for Theoretical PhysicsKR1 paper
- Brown UniversityUS1 paper
- B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of UkraineUA1 paper
- Catholic University of KoreaKR1 paper
- CY Cergy Paris UniversitéFR1 paper
- Indiana University BloomingtonUS1 paper
4 papers · 1 filter
Symmetry and monotonicity of least energy solutions
Jaeyoung Byeon, Louis Jeanjean, Mihai Mariş
We give a simple proof of the fact that for a large class of quasilinear elliptic equations and systems the solutions that minimize the corresponding energy in the set of all solut…
On the Green's matrices of strongly parabolic systems of second order
Sungwon Cho, Hongjie Dong, Seick Kim
We establish existence and various estimates of fundamental matrices and Green's matrices for divergence form, second order strongly parabolic systems in arbitrary cylindrical doma…
Variational approach to nonlinear gravity-driven instabilities in a MHD setting
Hyung Ju Hwang
We establish a variational framework for nonlinear instabilities in a setting of the ideal magnetohydrodynamic (MHD) equations. We apply a variational method to various kind of smo…
Pattern formation (I): The Keller-Segel Model
Yan Guo, Hyung Ju Hwang
We investigate nonlinear dynamics near an unstable constant equilibrium in the classical Keller-Segel model. Given any general perturbation of magnitude , we prove that its nonl…