Publications and Preprints of doctoral students

2019

  • Anna Muranova
    On the effective impedance of finite and infinite networks
    Link to Preprint
  • Benjamin Gess, Wei Liu, Andre Schenke
    Random attractors for locally monotone stochastic partial differential equations
    Link to Preprint
  • Robert Schippa
    Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle
    Link to Preprint
  • Chengcheng Ling, Guohuan Zhao
    Nonlocal elliptic equation in Hölder space and the martingale problem
    Link to Preprint
  • Young-Pil Choi, Seung-Yeal Ha, Jinwook Jung, Jeongho Kim
    Global dynamics of the thermomechanical Cucker-Smale ensemble immersed in incompressible viscous fluids
    Nonlinearity
  • Sung-Yeal Ha, Shi Jin, Jinwook Jung
    A local sensitivity analysis for the kinetic Kuramoto equation with random inputs
    Networks and Heterogeneous Media
  • Seung-Yeal Ha, Jinwook Jung, Peter Kuchling
    Emergence of anomalous flocking in the fractional Cucker-Smale model, Discrete and Continuous Dynamical Systems-A, Volume 39, Number 9, September 2019
    Link to Preprint
  • Yonggeun Cho, Seokchang Hong, Kiyeon Lee
    On the GWP of focusing energy-ciritical inhomogeneous NLS
    Link to Preprint
  • Marco Rehmeier
    Existence of flows for linear Fokker-Planck-Kolmogorov equations and its connection to well-posednes
    Link to Preprint
  • Friedrich Götze, Anna Gusakova
    On the distribution of Salem numbers
    Link to Preprint
  • Gernot Akemann, Sung-Soo Byun
    The high temperature crossover for general 2D Coulomb gases
    Journal of Statistical Physics Link to doi journal
  • Guy Fabrice Foghem Gounoue, Moritz Kassmann, Paul Voigt
    Mosco convergence of nonlocal to local quadratic forms
    Link to Preprint
  • Seung-Yeal Ha, Jinwook Jung, Michael Röckner
    Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communications
    Link to Preprint
  • Robert Schippa
    On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations
    Link to Preprint
  • Mario Kieburg, Adam Mielke, K. Splittorff
    Universal Broadening of Zero Modes: A General Framework and Identification
    Physical Review E
    Link to Preprint
  • Robert Schippa
    On Strichartz estimates from decoupling and applications
    Link to Preprint
  • Young-Pil Choi, Jinwook Jung
    Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity
    Link to Preprint
  • Seung-Yeal Ha, Jeongho Kim, Chan Ho Min, Tommaso Ruggeri, Xiongtao Zhang
    Uniform stability and mean-field limit of a thermodynamic Cucker-Smale model
    Quart. Appl. Math. (2019)
  • Seung-Yeal Ha, Jeongho Kim, P. Pickl, Xiongtao Zhang
    A Probabilistic approach for kinetic Cucker-Smale model with singular communication
    to appear in Kinetic and Related Models (2019)
  • Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, D. Ko, S. Son
    Flocking behaviors of a Cucker-Smale ensemble in a cylindrical domain
    to appear in SIAM Journal on Mathematical Analysis (2019)
  • Seung-Yeal Ha, D. Kim, Jeongho Kim, Xiongtao Zhang
    Uniform-in-time transition from discrete to continuous dynamics in the Kuramoto synchronization
    to appear in Journal of Mathematical Physics (2019)
  • Hyeong-Ohk Bae, Seung-Yeon Cho, Jeongho Kim, Seok-Bae Yun
    A Kinetic Description for the Herding Behavior in Financial Market
    Journal of Statistical Physics (2019)
  • G. Albi, N. Bellomo, L. Fermo, Seung-Yeal Ha, Jeongho Kim, L. Pareschi, D. Poyato, J. Soler
    Vehicular traffic, crowds, and swarms. On the kinetic theory approach towards research perspective
    to appear in Mathematical Models and Methods in Applied Sciences (2019)

2018

  • Friedrich Götze, Anna Gusakova, Zakhar Kabluchko, Dmitry Zaporozhets
    Distribution of complex algebraic numbers on the unit circle
    Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov (POMI) (2018),
    Link to Preprint
  • Seung-Yeal Ha, Shi Jin, Jinwook Jung
    A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs
    Journal of Differential Equations,
  • Kihyun Kim, Soonsik Kwon
    Scattering for Defocusing generalized Benjamin-Ono Equation in the Energy Space
    Link to Preprint
  • Marco Rehmeier
    On Cherny's results in infinite dimensions: A theorem dual to Yamada-Watanabe
    Link to Preprint
  • Gernot Akemann, Mario Kieburg, Adam Mielke, Pedro Vidal
    Preserving Topology while Breaking Chirality: From Chiral Orthogonal to Anti-symmetric Hermitian Ensemble
    Link to Preprint
  • Sung-Soo Byun, Nam-Gyu Kang, Hee-Joon Tak
    Annulus SLE partition functions and martingale-observables
    Link to Preprint
  • Sung-Soo Byun, Jaehun Lee, Tulasi Ram Reddy
    Zeros of random polynomials and its higher derivatives
    Link to Preprint
  • Changhun Yang
    Scattering results for Dirac Hartree-type equations with small initial data
    Link to Preprint
  • Michael Hinz, Dorina Koch, Melissa Meinert
    Sobolev spaces and calculus of variations on fractals
    to appear in the proceedings of the 6th Cornell Conference on Analysis, Probability and Mathematical Physics on Fractals (2019+)
    Link to Preprint
  • Minhyun Kim, Panki Kim, Jaehun Lee, Ki-Ahm Lee
    Boundary regularity for nonlocal operators with kernels of variable orders
    to appear in Journal of Functional Analysis
    Link to Preprint
  • Minhyun Kim, Ki-Ahm Lee
    Boundary regularity for nonlocal operators with kernels of variable orders \\to appear in Nonlinear Anal.
    Link to Preprint
  • Panki Kim, Jaehun Lee
    Regularity for fully nonlinear integro-differential operators with kernels of variable orders
    Stochastic Processes and their Applications
    Link to Preprint
  • Joohak Bae, Jaehoon Kang, Panki Kim, Jaehun Lee
    Heat kernel estimates for symmetric jump processes with mixed polynomial growths
    to appear in Annals of Probability
    Link to Preprint
  • Jiu-Gang Dong, Seung-Yeal Ha, Doheon Kim, Jeongho Kim
    Time-delay effect on the flocking in an ensemble of thermomechanical Cucker–Smale particles
    Journal of Differential Equations (2018)
    Link to Publication
  • Friedrich Götze, Jonas Jalowy
    Rate of Convergence to the Circular Law via Smoothing Inequalities for Log-Potentials
    Link to Preprint
  • Seung-Yeal Ha, Jeongho Kim, Jinyeong Park, Xiongtao Zhang
    Complete Cluster Predictability of the Cucker–Smale Flocking Model on the Real Line
    Archive for Rational Mechanics and Analysis (2018)
    Link to Publication
  • Sebastian Herr, Changhun Yang
    Critical well-posedness and scattering results for fractional Hartree-type equations
    Differential Integral Equations (2018), Volume 31, Number 9/10, 701-714.
    Link to Preprint
  • Michael Hinz, Seunghyun Kang
    Capacities, removable sets and L^p-uniqueness on Wiener spaces
    Link to Preprint
  • Robert Schippa
    On shorttime bilinear Strichartz estimates and applications to improve the energy method
    Link to Preprint
  • Yesom Park, Jeongho Kim, Jinwook Jung
    An efficient MILU preconditioning for solving the 2D Poisson equation with Neumann boundary condition
    Journal of Computational Physics (2018)
  • Seung-Yeal Ha, Jeongho Kim, Jinyeong Park, Xiongtao Zhang
    Uniform stability and mean-field limit for the augmented Kuramoto model
    Networks and Heterogeneous Media (2018)
  • Seung-Yeal Ha, Jeongho Kim, Xiongtao Zhang
    Uniform stability of the Cucker-Smale model and its application to the mean-field limit
    Kinetic and Related Models (2018)
  • Seung-Yeal Ha, Jeongho Kim, Tommaso Ruggeri
    Emergent Behaviors of Thermodynamic Cucker–Smale Particles
    SIAM Journal on Mathematical Analysis (2018)
  • Seung-Yeal Ha, Jeongho Kim, Chanho Min, Tommaso Ruggeri, Xiongtao Zhang
    A global existence of classical solutions to the hydrodynamic Cucker-Smale model in presence of a temperature field
    Analysis and Applications (2018)
  • Young-Pil Choi, Seung-Yeal Ha, Jeongho Kim
    Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication
    Networks and Heterogeneous Media (2018)
  • Jeongho Kim, Jan Peszek
    Cucker-Smale model with a bonding force and a singular interaction kernel
    Link to Preprint

2017

  • Michael Hinz, Melissa Meinert
    On the viscous Burgers equation on metric graphs and fractals
    to appear in J. Fractal Geometry (2019+)
    Link to Preprint
  • Vasili Bernik, Friedrich Götze, Anna Gusakova
    On distribution of points with algebraically conjugate coordinates in neighborhood of smooth curves
    Journal of Mathematical Sciences (2017), Vol. 224, No. 2
    Link to Preprint
  • Vasili Bernik, Friedrich Götze, Anna Gusakova
    On distribution of points with conjugate algebraic integer coordinates close to planar curves
    Link to Preprint
  • Friedrich Götze, Anna Gusakova
    On algebraic integers in short intervals and near smooth curves
    Acta Arithmetica 179 (2017), no. 3, PP. 251–265.
    Link to Preprint
  • Friedrich Götze, Anna Gusakova, Dmitry Zaporozhets
    Random affine simplexes
    Link to Preprint
  • Michael Hinz, Seunghyun Kang, Jun Masamune
    Probabilistic characterizations of essential self-adjointness and removability of singularities
    Mat. Fiz. Kompʹyut. Model. (2017)
    Link to Preprint
  • Robert Schippa
    On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below H^{1/2}(\mathbb{T})
    Link to Preprint
  • Robert Schippa
    Generalized inhomogeneous Strichartz estimates
    Discrete and Continuous Dynamical Systems - Series A (2017) Vol. 37, No. 6, pp. 3387-3410.
    Link to Preprint
  • Robert Schippa
    On the existence of periodic solutions to the modified Korteweg-de Vries equation
    Link to Preprint
  • Robert Schippa
    Sharp Strichartz estimates in spherical coordinates
    Communications on Pure and Applied Analysis (2017) Vol. 16, No. 6, pp. 2047-2051.
    Link to Preprint

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