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Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions
This work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that...
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On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity
In this present paper, we concern investigating nonlinear Kirchhoff-type problems subject to Dirichlet boundary conditions, incorporating nonlocal...
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Deformations and q-Convolutions. Old and New Results
This paper is the survey of some of our results related to q -deformations of the Fock spaces and related to q -convolutions for probability measures...
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Well-posedness for a class of pseudo-differential hyperbolic equations on the torus
In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class...
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Uniform-in-mass global existence for 4D Dirac–Klein–Gordon equations
We are interested in four-dimensional Dirac–Klein–Gordon equations, a fundamental model in particle physics. The main goal of this paper is to...
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An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces
We revisit Yudovich’s well-posedness result for the 2-dimensional Euler equations for an inviscid incompressible fluid on either a sufficiently...
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Local and global strong solutions to the 3D Navier–Stokes equations with dam**
This paper studies regularity properties of the weak solutions to the 3D Navier–Stokes equations with dam** in the whole space and bounded domains....
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Trending on the use of Google mobility data in COVID-19 mathematical models
Google mobility data has been widely used in COVID-19 mathematical modeling to understand disease transmission dynamics. This review examines the...
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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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Common fixed points of a pair of \((\psi ,\phi )\)-weakly contractive maps via ceiling distance with applications
In this paper, we discuss a critical analysis of a paper by Kumar (J Comput Appl Math 404:1–16 2022), found some corrections through the use of...
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Lie reductions and exact solutions of dispersionless Nizhnik equation
We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to partial differential equations in two independent...
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Stability via closure relations with applications to dissipative and port-Hamiltonian systems
We consider differential operators A that can be represented by means of a so-called closure relation in terms of a simpler operator
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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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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...