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Harmonic tropical morphisms and approximation
Harmonic amoebas are generalisations of amoebas of algebraic curves immersed in complex tori. Introduced by Krichever in
2014 , the consideration of...
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Twistor Bundles of Foliated Riemannian Manifolds
In this paper, we present an overview of the theory of twistors on foliated manifolds, which has been developed in several papers of ours. We...
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Stable Determination of an Elastic Medium Scatterer by a Single Far-Field Measurement and Beyond
We are mainly concerned with the time-harmonic elastic wave scattering due to the im**ement of an incident field on an inhomogeneous isotropic...
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Simson’s Reconstruction of Apollonius’ Loci Plani. Modern Ideas in Classical Language
This paper deals with Simson’s reconstruction of Apollonius’ Loci Plani. In the first book we have a fixed point,...
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First Order Periodic Averaging
We have seen averaging results in the Introduction. We will explain now the theory for O(ε) approximations on a long timescale.
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Pointwise Fixation along the Edge of a Kirchhoff Plate
We address the Sobolev–Neumann problem for the bi-harmonic equation describing the bending of the Kirchhoff plate with a traction-free edge but fixed...
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Nonclassical Vibrations of a Monoclinic Composite Strip
AbstractA mathematical model of damped flexural–torsional vibrations of monoclinic composite strip of constant-length rectangular cross section is...
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FPU Model and Toda Model: A Survey, a View
A huge amount of papers investigated, over more than 65 years, the Fermi–Pasta–Ulam problem. One of the leading ideas, present already in the early...
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Preliminaries
In this chapter, we provide the main notation and facts from real and functional analysis. We introduce the spaces of smooth functions, the Sobolev...
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Stable determination of an elastic medium scatterer by a single far-field measurement and beyond
We are concerned with the time-harmonic elastic scattering due to an inhomogeneous elastic material inclusion located inside a uniformly homogeneous...
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Contact foliations and generalised Weinstein conjectures
We consider contact foliations: objects which generalise to higher dimensions the flow of the Reeb vector field on contact manifolds. We list several...
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The Probabilistic Method in Real Singularity Theory
We explain how to use the probabilistic method to prove the existence of real polynomial singularities with rich topology, i.e., with total Betti...
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Analysis of Pseudoholomorphic Curves and Bordered Stable Maps
In this chapter, we review the basic analytic theory of pseudoholomorphic curves, and the study of compactified moduli space of pseudoholomorphic...
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Closed-form steady-state solutions for forced vibration of second-order axially moving systems
Second-order axially moving systems are common models in the field of dynamics, such as axially moving strings, cables, and belts. In the traditional...
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Resonance Oscillations of Gas in a Closed Tube in the Presence of a Heterogeneous Temperature Field
AbstractA numerical modeling of non-linear oscillations of gas in a closed tube in consideration of a heterogeneous temperature field was done. A...
