Elie Abdo, Mihaela Ignatova
We address existence, uniqueness and analyticity of solutions of an electroconvection model in porous media.
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Elie Abdo, Mihaela Ignatova
We address existence, uniqueness and analyticity of solutions of an electroconvection model in porous media.
Genki Shibukawa
We give a simple proof of some explicit formulas of periodic continuants by Chebyshev polynomials of the second kind given by Rozsa.
Jiakun Liu
We obtain a genuine local $C^2$ estimate for the Monge-Ampère equation in dimension two, by using the partial Legendre transform.
Ariel M. Salort
In this article we study eigenvalues and minimizers of a fractional non-standard growth problem. We prove several properties on this quantities and their corresponding eigenfunctions.
Alexandra Ion
“Archaeology for Whom?” A situation where this question gainsparticular importance is the case of rescue archaeology projects,especially those facing big economic projects. It is the purpose ofthis article to propose a reflective attitude towards our practice.Thus, I will focus on the case of the site of Roșia Montană (Romania).Here, the contentious topic of a proposed cyanide gold miningexploitation brought forward a series of relevant questions: what isheritage, for whom it is meaningful (and in what way), and what isthe relationship between heritage and sustainable development ofa contemporary community.
José Antonio Mármol Martínez
Archaeology offers insight into the values of the contemporary world. From three separate discourses, which address different temporalities and sites, an overarching archaeological narrative has been established, which reflects the role of art and heritage in artistic destruction; education and archaeology as an educational and social tool; and materiality (in the present case, the Chinese pottery sherds in Al-Andalus) in the interpretations and acts of archaeologists. The visual values of archaeology and the role of the archaeological imagination to unify disparate archaeological practices will be explored here. The permeability of the spheres of archaeology and art allow us to explore both archaeological and artistic practices, as well as reflect on universal convictions and on the potentiality of archaeological practice to intervene in social contexts. With all this, archaeology acquires relevance insofar as it is a practice that is able to address the problems of the present day. In line with the so-called ‘creative archaeologies’, with their experimentation and creation of artistic works (in this case photographic), this paper aims to reflect on new ways to ‘see’ archaeology, which has never been more necessary.
Benjamin Dodson
In this paper we prove a global result for the Schrödinger map problem with initial data with small Besov norm at critical regularity.
Daniel García Raso
Video games have become a mass culture phenomenon typical of the West Post-Industrial Society as well as an avant-garde narrative medium. The main focus of this paper is to explore and analyze the public image of Archaeology and Prehistory spread by video games and how we can achieve a virtual faithful image of both. Likewise, we are going to proceed to construct an archaeological outline of video games, understanding them as an element of the Contemporary Material Culture and, therefore, subject to being studied by Archaeology.
Olivier Pierre
In this paper, we address the problem of current-vortex sheets in ideal incompressible magnetohydrodynamics. More precisely, we prove a local-in-time existence and uniqueness result for analytic initial data using a Cauchy-Kowalevskaya theorem.
Ferit Gurbuz
The aim of this paper can give weighted anisotropic Morrey Spaces estimates for anisotropic maximal functions.
Guillaume Lévy
In this Note, we study a transport-diffusion equation with rough coefficients and we prove that solutions are unique in a low-regularity class.
Renhui Wan
In this paper, we obtain the uniqueness of the 2D MHD equations, which fills the gap of recent work \cite{1} by Chemin et al.
Matthew Paddick
We show that solitary waves for the 2D Euler-Korteweg model for capillary fluids display nonlinear instability when subjected to transverse perturbations.
Christos Sourdis
We prove that if a globally minimizing solution to the vectorial Allen-Cahn equation has finite potential energy, then it is a constant.
Craig Cowan
We examine a Gelfand type system and show the extremal solutions are bounded provided we are close enough to the scalar case.
Avy Soffer
I show that $H^1$ solutions of the nonlinear Schroedinger equation which are incoming converge to a soliton, in the radial case.
Simon Moulin
We prove dispersive estimates at high frequency in dimension two for both the wave and the Schrodinger groupes for a very large class of real-valued potentials.
A. B. Ivanov
This paper deals with bounded solutions of quasilinear elliptic equations on Riemannian manifolds satisfying special condition.
Gregory Seregin
A sufficient condition of regularity for solutions to the Navier-Stokes equations is proved. It generalizes the so-called $L_{3,\infty}$-case.
Emmanuel Hebey
We discuss sharp Sobolev inequalities for vector valued maps.
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