Ihsan Topaloglu

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Rustum ChoksiProfessor, McGill UniversityVerified email at math.mcgill.ca
Lia BronsardMath & Stats, McMaster UniversityVerified email at mcmaster.ca
Stanley AlamaMathematics and Statistics, McMaster UniversityVerified email at mcmaster.ca
Razvan FetecauProfessor of Mathematics, Simon Fraser UniversityVerified email at math.sfu.ca
Dejan SlepčevProfessor of Mathematical Sciences, Carnegie Mellon UniversityVerified email at math.cmu.edu
Robert L Simione IIAssociate Professor in Applied Analytics, Columbia UniversityVerified email at columbia.edu
Marco BonaciniUniversity of BonnVerified email at iam.uni-bonn.de
Almut BurchardUniversity of TorontoVerified email at math.toronto.edu
Katy CraigAssociate Professor, University of California, Santa BarbaraVerified email at math.ucsb.edu
Riccardo CristoferiAssistant Professor, Radboud UniversityVerified email at ru.nl
Oleksandr MisiatsNew York UniversityVerified email at nyu.edu
Cyrill MuratovUniversity of PisaVerified email at unipi.it
Davide CarazzatoPhD student in Mathematics, Scuola Normale SuperioreVerified email at sns.it
Oleksandr StanzhytskyNational Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»Verified email at kpi.ua
ALP EDENBOGAZİCİ UNİVVerified email at boun.edu.tr
Michael NovackAssistant Professor at Louisiana State UniversityVerified email at lsu.edu
Raghav VenkatramanDepartment of Mathematics, The University of UtahVerified email at math.utah.edu
H. Reed OgroskyVirginia Commonwealth UniversityVerified email at vcu.edu
Tsogtgerel GantumurMcGill University (Mathematics), National University of Mongolia (Physics)Verified email at mcgill.ca

Ihsan Topaloglu

Virginia Commonwealth University

Verified email at vcu.edu - Homepage

Applied Analysis Calculus of Variations Partial Differential Equations Pattern Formation Geometric Measure Theory


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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	87	2015
Existence of ground states of nonlocal-interaction energies R Simione, D Slepčev, I Topaloglu Journal of Statistical Physics 159 (4), 972-986, 2015	69	2015
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	68	2017
On the Global Minimizers of a Nonlocal Isoperimetric Problem in Two Dimensions P Sternberg, I Topaloglu Interfaces and Free Boundaries 13, 155-169, 2011	59	2011
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	55	2018
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	29	2020
On a nonlocal isoperimetric problem on the two-sphere I Topaloglu Communications on Pure and Applied Analysis 12 (1), 597-620, 2013	29	2013
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	26	2019
Anisotropic liquid drop models R Choksi, R Neumayer, I Topaloglu Advances in Calculus of Variations 15 (1), 109-131, 2022	22	2022
Convergence of regularized nonlocal interaction energies K Craig, I Topaloglu SIAM Journal on Mathematical Analysis 48 (1), 34-60, 2016	19	2016
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	14	2017
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	13	2022
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	11	2021
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	9	2019
Standing waves for a generalized Davey–Stewartson system: Revisited A Eden, IA Topaloglu Applied Mathematics Letters 21 (4), 342-347, 2008	8	2008
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
Stability of the ball for attractive-repulsive energies M Bonacini, R Cristoferi, I Topaloglu SIAM Journal on Mathematical Analysis 56 (1), 588-615, 2024	5	2024
Least Wasserstein distance between disjoint shapes with perimeter regularization M Novack, I Topaloglu, R Venkatraman Journal of Functional Analysis 284 (1), 109732, 2023	5	2023
On the existence of minimizing sets for a weakly-repulsive nonlocal energy D Carazzato, A Pratelli, I Topaloglu Pure and Applied Analysis 6 (4), 995-1015, 2024	4	2024
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	4	2023

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