期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (2)
Nonlocal conservation laws (the signature feature being that the flux function depends on the solution through the convolution with a given kernel) ar......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (2)
On a smooth bounded Euclidean domain, Sobolev-subcritical fast diffusion with vanishing boundary trace is known to lead to finite-time extinction, wit......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (3)
We study the black hole interiors of spacetimes arising from gravitational collapse within the spherically symmetric Einstein-scalar field system. By ......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (5)
We construct a time-asymptotic expansion with pointwise remainder estimates for solutions to 1D compressible Navier-Stokes equations. The leading-orde......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (6)
In this paper we prove that if (u, K) is an almost-minimizer of the Griffith functional and K is epsilon-close to a plane in some ball B subset of R-N......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (2)
This contribution is concerned with the effective viscosity problem, that is, the homogenization of the steady Stokes system with a random array of ri......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (1)
In the present article we study the inverse problem of determining a general semilinear term for a class of nonlinear parabolic equations. We derive a......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (1)
We prove an epsilon-regularity result for the tracefree curvature of a Willmore surface with bounded second fundamental form. For such a surface, we o......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (2)
This paper considers two-dimensional steady solitary waves with constant vorticity propagating under the influence of gravity over an impermeable flat......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (3)
In 1991 De Giorgi conjectured that, given lambda > 0, if mu(epsilon) stands for the density of the Allen-Cahn energy and ve represents its first va......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (6)
We consider the Abelian Yang-Mills-Higgs functional, in the non-self dual scaling, on a complex line bundle over a closed Riemannian manifold of dimen......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (1)
Building on work of Mondino-Scharrer, we show that among closed, smoothly embedded surfaces in R-3 of genus g and given isoperimetric ratio v, there e......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (1)
We are concerned with the focusing L-2-critical nonlinear Schrodinger equations in R-d for dimensions d = 1, 2. The uniqueness is proved for a large e......
期刊： ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023; 247 (1)
We study the problems of controllability and ergodicity of the system of three dimensional primitive equations modeling large-scale oceanic and atmosp......
