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Painlevé Kernels and Surface Defects at Strong Coupling
It is well established that the spectral analysis of canonically quantized four-dimensional Seiberg–Witten curves can be systematically studied via...
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Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization
This paper is concerned with an optimization problem which is governed by the Kantorovich problem of optimal transport. More precisely, we consider a...
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Dynamics of a linear source epidemic system with diffusion and media impact
This paper studies an impact of media epidemic system with diffusion and linear source. We first derive the uniform bounds of solutions to impact on...
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Renormalization of Higher Currents of the Sine-Gordon Model in pAQFT
In this paper, we show that the higher currents of the sine-Gordon model are super-renormalizable by power counting in the framework of pAQFT. First...
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Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the...
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Numerical simulation of high-frequency induction welding in longitudinal welded tubes
In the present paper the high-frequency induction welding process is studied numerically. The mathematical model comprises a harmonic vector...
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Epidemic modelling by birth-death processes with spatial scaling
In epidemic modeling, interpretation of compartment quantities, such as s , i , and r in relevant equations, is not always straightforward. Ambiguities...
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Nonpositively Curved Surfaces are Loewner
We show that every closed nonpositively curved surface satisfies Loewner’s systolic inequality. The proof relies on a combination of the Gauss–Bonnet...
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Structural iterative rounding for generalized k-median problems
This paper considers approximation algorithms for generalized k -median problems. These problems can be informally described as k -median with a...
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Boundary Rigidity, and Non-Rigidity, of Projective Structures
We investigate the property of boundary rigidity for the projective structures associated to torsion-free affine connections on connected smooth...
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Octonionic Calabi–Yau Theorem
On a certain class of 16-dimensional manifolds a new class of Riemannian metrics, called octonionic Kähler, is introduced and studied. It is an...
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Bitsadze-Samarsky type problems with double involution
In this paper, the solvability of a new class of nonlocal boundary value problems for the Poisson equation is studied. Nonlocal conditions are...