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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
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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...
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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...
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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...
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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...
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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...
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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,...
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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...
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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...
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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...
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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...
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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...
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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...