Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Sastre-Gómez A"'
In this paper we study the existence of solutions of a parabolic-elliptic system of partial differential equations describing the behaviour of a biological species $u$ and a chemical stimulus $v$ in a bounded and regular domain $\Omega$ of $\mathbb{R
Externí odkaz:
http://arxiv.org/abs/2409.10121
In this paper we analyse the asymptotic behaviour of some nonlocal diffusion problems with local reaction term in general metric measure spaces. We find certain classes of nonlinear terms, including logistic type terms, for which solutions are global
Externí odkaz:
http://arxiv.org/abs/2409.10110
In this paper we consider the following nonlocal autonomous evolution equation in a bounded domain $\Omega$ in $\mathbb{R}^N$ \[ \partial_t u(x,t) =- h(x)u(x,t) + g \Big(\int_{\Omega} J(x,y)u(y,t)dy \Big) +f(x,u(x,t)) \] where $h\in W^{1,\infty}(\Ome
Externí odkaz:
http://arxiv.org/abs/2409.10065
Autor:
Henry, David, Sastre-Gomez, Silvia
Publikováno v:
Differential Integral Equations 31 (2018), no.1-2, 1-26; MR3717732
In this article we apply local bifurcation theory to prove the existence of small-amplitude steady periodic water waves, which propagate over a flat bed with a specified fixed mean-depth, and where the underlying flow has a discontinuous vorticity di
Externí odkaz:
http://arxiv.org/abs/2409.08730
Autor:
Sastre-Gómez, Silvia
In this work we prove the equivalence between three different weak formulations of the steady periodic water wave problem where the vorticity is discontinuous. In particular, we prove that generalised versions of the standard Euler and stream functio
Externí odkaz:
http://arxiv.org/abs/2409.08720
Autor:
Henry, David, Sastre-Gomez, Silvia
In this paper we present an analysis of the mean flow velocities, and related mass transport, which are induced by certain Equatorially-trapped water waves. In particular, we examine a recently-derived exact and explicit solution to the geophysical g
Externí odkaz:
http://arxiv.org/abs/2409.08714
The aim of this work is to deal with a discontinuous Hamilton-Jacobi equation in the whole euclidian N-dimensional space, associated to a possibly unbounded optimal control problem. Here, the discontinuities are located on a hyperplane and the typica
Externí odkaz:
http://arxiv.org/abs/2405.06396
In this work we analyze the behavior of the solutions to nonlocal evolution equations of the form $u_t(x,t) = \int J(x-y) u(y,t) \, dy - h_\epsilon(x) u(x,t) + f(x,u(x,t))$ with $x$ in a perturbed domain $\Omega^\epsilon \subset \Omega$ which is thou
Externí odkaz:
http://arxiv.org/abs/2004.02348
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2021 495(2)
Autor:
Sastre-Gomez, Silvia
The aim of this paper is to prove that a three dimensional Lagrangian flow which defines equatorially trapped water waves is dynamically possible. This is achieved by applying a mixture of analytical and topological methods to prove that the nonlinea
Externí odkaz:
http://arxiv.org/abs/1505.01773