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  1. Adaptive state-constrained/model-free iterative sliding mode control for aerial robot trajectory tracking

    This paper develops a novel hierarchical control strategy for improving the trajectory tracking capability of aerial robots under parameter...

    Chen An, Jiaxi Zhou, Kai Wang in Applied Mathematics and Mechanics
    Article 04 April 2024
  2. On the Variational Statement of One Boundary-Value Problem with Free Interface

    With the help of Clebsch’s potentials, we propose a Bateman–Luke-type variational principle for a boundary- value problem with a free (unknown)...

    Aleksander Timokha in Ukrainian Mathematical Journal
    Article 08 December 2023
  3. Inverse mean curvature flow with a free boundary in hyperbolic space

    We study the inverse mean curvature flow with a free boundary supported on geodesic spheres in hyperbolic space. Starting from any convex...

    Article 17 April 2024
  4. When are KE-closed subcategories torsion-free classes?

    Toshinori Kobayashi, Shunya Saito in Mathematische Zeitschrift
    Article 27 June 2024
  5. Maximum size of a triangle-free graph with bounded maximum degree and matching number

    Determining the maximum number of edges under degree and matching number constraints have been solved for general graphs in Chvátal and Hanson (J...

    Milad Ahanjideh, Tınaz Ekim, Mehmet Akif Yıldız in Journal of Combinatorial Optimization
    Article 16 April 2024
  6. On the Dimension of the Space of Dark States in the Tavis–Cummings Model

    Abstract

    The space of minimal energy of a qubit system is the dark subspace of quantum states of a system of two-level atoms in the...

    Yu. I. Ozhigov in Mathematical Notes
    Article 26 April 2022
  7. Mathematical Assessment of the Role of Human Behavior Changes on SARS-CoV-2 Transmission Dynamics in the United States

    The COVID-19 pandemic has not only presented a major global public health and socio-economic crisis, but has also significantly impacted human...

    Binod Pant, Salman Safdar, ... Abba B. Gumel in Bulletin of Mathematical Biology
    Article 18 June 2024
  8. Inverse problem for determining free parameters of a reduced turbulent transport model for tokamak plasma

    Two-dimensional transport codes for the simulation of tokamak plasma are reduced version of full 3D fluid models where plasma turbulence has been...

    Louis Lamérand, Didier Auroux, ... Eric Serre in Advances in Computational Mathematics
    Article 02 May 2024
  9. Adaptive State-Dependent Diffusion for Derivative-Free Optimization

    This paper develops and analyzes a stochastic derivative-free optimization strategy. A key feature is the state-dependent adaptive variance. We prove...

    Björn Engquist, Kui Ren, Yunan Yang in Communications on Applied Mathematics and Computation
    Article 09 January 2024
  10. On the Garden of Eden theorem for ℬ-free subshifts

    We prove that on ℬ-free subshifts, with ℬ satisfying the Erdős condition, all cellular automata are determined by monotone sliding block codes. In...

    Gerhard Keller, Mariusz Lemańczyk, ... Daniel Sell in Israel Journal of Mathematics
    Article 29 December 2022
  11. Local invariants of divergence-free webs

    The objects of our study are webs in the geometry of volume-preserving diffeomorphisms. We introduce two local invariants of divergence-free webs: a...

    Wojciech Domitrz, Marcin Zubilewicz in Analysis and Mathematical Physics
    Article Open access 23 November 2022
  12. Self-Bound vortex states in nonlinear Schrödinger equations with LHY correction

    We study the cubic-quartic nonlinear Schrödinger equation (NLS) in two and three spatial dimension. This equation arises in the mean-field...

    Anudeep K. Arora, Christof Sparber in Nonlinear Differential Equations and Applications NoDEA
    Article 12 December 2022
  13. Periodic and Weakly Periodic Ground States Corresponding to the Subgroups of Index Three for the Ising Model on the Cayley Tree of Order Three

    We determine periodic and weakly periodic ground states with subgroups of index three for the Ising model on the Cayley tree of order three.

    Dilshod O. Egamov in Ukrainian Mathematical Journal
    Article 09 November 2023
  14. Fidelity improvement in remote preparation of 3-qubit non-maximally entangled states through noisy environment

    In this paper, a controlled remote state preparation protocol for a 3-qubit non-maximally entangled state is discussed. The state belongs to a class...

    Manoj Kumar Mandal, Binayak S. Choudhury, ... Biswanath Dolai in Quantum Studies: Mathematics and Foundations
    Article 25 April 2024
  15. Solving nonlinear vectorial problems with a stable class of Jacobian-free iterative processes

    In this manuscript, a general class of Jacobian-free iterative schemes for solving systems of nonlinear equations is presented. Once its fourth-order...

    Alicia Cordero, Cristina Jordán, ... Juan R. Torregrosa in Journal of Applied Mathematics and Computing
    Article Open access 28 June 2024
  16. Two-Dimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems

    We are concerned with global solutions of multidimensional (M-D) Riemann problems for nonlinear hyperbolic systems of conservation laws, focusing on...

    Article 28 December 2022
  17. Two-phase almost minimizers for a fractional free boundary problem

    In this paper, we study almost minimizers to a fractional Alt–Caffarelli–Friedman type functional. Our main results concern the optimal ...

    Mark Allen, Mariana Smit Vega Garcia in Nonlinear Differential Equations and Applications NoDEA
    Article 01 April 2024
  18. Density of states for the Anderson model on nested fractals

    Hubert Balsam, Kamil Kaleta, ... Katarzyna Pietruska-Pałuba in Analysis and Mathematical Physics
    Article 10 March 2024
  19. A Hessian-Dependent Functional With Free Boundaries and Applications to Mean-Field Games

    We study a Hessian-dependent functional driven by a fully nonlinear operator. The associated Euler-Lagrange equation is a fully nonlinear mean-field...

    Julio C. Correa, Edgard A. Pimentel in The Journal of Geometric Analysis
    Article Open access 08 February 2024
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