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  1. Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension

    In this paper, we study the 2D free boundary incompressible Euler equations with surface tension, where the fluid domain is periodic in ...

    Zhongtian Hu, Chenyun Luo, Yao Yao in Annals of PDE
    Article 05 July 2024
  2. Pseudo-differential operators in several p-adic variables and sub-Markovian semigroups

    This article marks the inaugural exploration of certain classes of negative or positive definite functions in several p -adic variables. Associated...

    Anselmo Torresblanca-Badillo, Edilberto Arroyo-Ortiz, Ronald Barrios-Garizao in Journal of Pseudo-Differential Operators and Applications
    Article 05 July 2024
  3. On the study of three-dimensional compressible Navier–Stokes equations

    This work is devoted to the study of three-dimensional compressible Navier–Stokes equations on unstructured meshes. The approach used is based on...

    Mohamed Abdelwahed, Rabe Bade, ... Maatoug Hassine in Boundary Value Problems
    Article Open access 05 July 2024
  4. Existence of Nontrivial Solutions to a Critical Fourth-Order Kirchhoff Type Elliptic Equation

    In this paper, a critical fourth-order Kirchhoff type elliptic equation with a subcritical perturbation is studied. The main feature of this problem...

    Qian Zhang, Yuzhu Han in Acta Applicandae Mathematicae
    Article 04 July 2024
  5. Global Well-Posedness and Exponential Decay of Strong Solution to the Three-Dimensional Nonhomogeneous Bénard System with Density-Dependent Viscosity and Vacuum

    In this paper, we are concerned with the three-dimensional nonhomogeneous Bénard system with density-dependent viscosity in bounded domain. The...

    Huanyuan Li, Jieqiong Liu in Acta Applicandae Mathematicae
    Article 04 July 2024
  6. A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm

    Mojtaba Bakherad, Cristian Conde, Fuad Kittaneh in Acta Applicandae Mathematicae
    Article 03 July 2024
  7. Dispersive Wave Focusing on a Shear Current: Part 2—Nonlinear Effects

    Continuing our recent work [Ellingsen et al., Water Waves (2024)] we investigate the influence of vertically sheared currents on the surface...

    Zibo Zheng, Yan Li, Simen Å Ellingsen in Water Waves
    Article Open access 02 July 2024
  8. Global dynamics of a diffusive competitive Lotka–Volterra model with advection term and more general nonlinear boundary condition

    We investigate a competitive diffusion–advection Lotka–Volterra model with more general nonlinear boundary condition. Based on some new ideas,...

    Article Open access 02 July 2024
  9. A theory for three-dimensional response of micropolar plates

    Through combined applications of the transfer-matrix method and asymptotic expansion technique, we formulate a theory to predict the...

    Dianwu Huang, Linghui He in Applied Mathematics and Mechanics
    Article 01 July 2024
  10. Dynamics for a Charge Transfer Model with Cross-Diffusion: Turing Instability of Periodic Solutions

    This paper is devoted to a charge transfer model with cross-diffusion under Neumann boundary conditions. We investigate how the cross-diffusion could...

    Gaihui Guo, **g You, ... Yanling Li in Acta Applicandae Mathematicae
    Article 01 July 2024
  11. Notes on asymptotic behavior of radial solutions for some weighted elliptic equations on the annulus

    In this paper, we study the asymptotic behavior of radial solutions for several weighted elliptic equations with power type or exponential type...

    Article 28 June 2024
  12. A modified fuzzy Adomian decomposition method for solving time-fuzzy fractional partial differential equations with initial and boundary conditions

    This research article introduces a novel approach based on the fuzzy Adomian decomposition method (FADM) to solve specific time fuzzy fractional...

    Nagwa A. Saeed, Deepak B. Pachpatte in Boundary Value Problems
    Article Open access 27 June 2024
  13. Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation

    This research studies the inverse boundary value problem for fractional elliptic equation of Tricomi–Gellerstedt–Keldysh type and obtains a condition...

    **ao Zhang in Boundary Value Problems
    Article Open access 26 June 2024
  14. Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative

    The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ -Caputo...

    Hacen Serrai, Brahim Tellab, ... Shahram Rezapour in Boundary Value Problems
    Article Open access 26 June 2024
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