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Ihsan Topaloglu
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On Minimizers of Interaction Functionals with Competing Attractive and Repulsive Potentials
R Choksi, R Fetecau, I Topaloglu
Ann. Inst. H. Poincaré Anal. Non Linéaire 32 (6), 1283–1305, 2015
852015
An old problem resurfaces nonlocally: Gamow’s liquid drops inspire today’s research and applications
R Choksi, CB Muratov, I Topaloglu
Notices of the AMS 64 (11), 1275-1283, 2017
652017
Existence of ground states of nonlocal-interaction energies
R Simione, D Slepèev, I Topaloglu
Journal of Statistical Physics 159 (4), 972-986, 2015
642015
On the Global Minimizers of a Nonlocal Isoperimetric Problem in Two Dimensions
P Sternberg, I Topaloglu
Interfaces and Free Boundaries 13, 155-169, 2011
582011
Nonlocal shape optimization via interactions of attractive and repulsive potentials
A Burchard, R Choksi, I Topaloglu
Indiana University Mathematics Journal 67 (1), 375-395, 2018
532018
On a nonlocal isoperimetric problem on the two-sphere
I Topaloglu
Communications on Pure and Applied Analysis 12 (1), 597-620, 2013
292013
Aggregation-diffusion to constrained interaction: minimizers & gradient flows in the slow diffusion limit
K Craig, I Topaloglu
Annales de l'Institut Henri Poincaré C 37 (2), 239-279, 2020
272020
Droplet breakup in the liquid drop model with background potential
S Alama, L Bronsard, R Choksi, I Topaloglu
Communications in Contemporary Mathematics 21 (03), 1850022, 2019
252019
Anisotropic liquid drop models
R Choksi, R Neumayer, I Topaloglu
Advances in Calculus of Variations 15 (1), 109-131, 2022
192022
Convergence of regularized nonlocal interaction energies
K Craig, I Topaloglu
SIAM Journal on Mathematical Analysis 48 (1), 34-60, 2016
192016
On global existence and blowup of solutions of stochastic Keller–Segel type equation
O Misiats, O Stanzhytskyi, I Topaloglu
Nonlinear Differential Equations and Applications NoDEA 29 (1), 3, 2022
142022
Ground-states for the liquid drop and TFDW models with long-range attraction
S Alama, L Bronsard, R Choksi, I Topaloglu
Journal of Mathematical Physics 58 (10), 2017
142017
A nonlocal isoperimetric problem with density perimeter
S Alama, L Bronsard, I Topaloglu, A Zuniga
Calculus of Variations and Partial Differential Equations 60 (1), 1, 2021
102021
Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion
RC Fetecau, M Kovacic, I Topaloglu
Discrete and Continuous Dynamical Systems - Series B 24 (4), 1815-1842, 2019
92019
Standing waves for a generalized Davey–Stewartson system: Revisited
A Eden, IA Topaloglu
Applied Mathematics Letters 21 (4), 342-347, 2008
92008
Droplet phase in a nonlocal isoperimetric problem under confinement
S Alama, L Bronsard, R Choksi, I Topaloglu
Communications on Pure and Applied Analysis 19 (1), 175-202, 2020
6*2020
Least Wasserstein distance between disjoint shapes with perimeter regularization
M Novack, I Topaloglu, R Venkatraman
Journal of Functional Analysis 284 (1), 109732, 2023
52023
Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals
M Bonacini, R Cristoferi, I Topaloglu
The Journal of Geometric Analysis 32 (2), 48, 2022
42022
Stability of the ball for attractive-repulsive energies
M Bonacini, R Cristoferi, I Topaloglu
SIAM Journal on Mathematical Analysis 56 (1), 588-615, 2024
32024
A long-wave model for film flow inside a tube with slip
M Schwitzerlett, HR Ogrosky, I Topaloglu
Journal of Fluid Mechanics 974, A22, 2023
32023
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