Zobrazeno 1 - 10
of 7 049
pro vyhledávání: '"35B40"'
In this paper we explore the theory of the anisotropic porous medium equation in the slow diffusion range. After revising the basic theory, we prove the existence of self-similar fundamental solutions (SSFS) of the equation posed in the whole Euclide
Externí odkaz:
http://arxiv.org/abs/2412.12295
Autor:
Vacelet, Éric
We study the propagation of initial condition in the presence of two topological insulators without magnetic field where the interface is a smooth connected not compact curve without boundaries. The solution is governed by an adiabatic modulation of
Externí odkaz:
http://arxiv.org/abs/2412.11928
In this paper, we study the behavior of multiple continua of solutions to the semilinear elliptic problem \begin{equation*} \begin{cases} -\Delta u = \lambda f(u) &\text{ in } \Omega, u=0 &\text{ on } \partial\Omega, \end{cases} \end{equation*} where
Externí odkaz:
http://arxiv.org/abs/2412.11690
In this paper, we study the global well-posedness and optimal time decay rates of strong solutions to the diffusion approximation model in radiation hydrodynamics in $\mathbb{R}^3$. This model consists of the full compressible Navier-Stokes equations
Externí odkaz:
http://arxiv.org/abs/2412.11117
We unify the variational hypocoercivity framework established by D. Albritton, S. Armstrong, J.-C. Mourrat, and M. Novack, with the notion of second-order lifts of reversible diffusion processes, recently introduced by A. Eberle and F. L\"orler. We g
Externí odkaz:
http://arxiv.org/abs/2412.10890
In this paper, we consider the asymptotic behavior of weak solutions for nonclassical non-autonomous diffusion equations with a delay operator in time-dependent spaces when the nonlinear function $g$ satisfies subcritical exponent growth conditions,
Externí odkaz:
http://arxiv.org/abs/2412.10479
The Stein Variational Gradient Descent method is a variational inference method in statistics that has recently received a lot of attention. The method provides a deterministic approximation of the target distribution, by introducing a nonlocal inter
Externí odkaz:
http://arxiv.org/abs/2412.10295
In this article, we study the existence and asymptotic properties of prescribed mass standing waves for the rotating dipolar Gross-Pitaevskii equation with a harmonic potential in the unstable regime. This equation arises as an effective model descri
Externí odkaz:
http://arxiv.org/abs/2412.09890
Autor:
Ikeda, Masahiro, Zhao, Jinhong
This article deals with the behavior in time of the solution to the Cauchy problem for a fractional wave equation with a weighted $L^1$ initial data. Initially, we establish the global existence of the solution using Fourier methods and provide upper
Externí odkaz:
http://arxiv.org/abs/2412.09155
We investigate the decay estimates of global solutions for a class of one-dimensional inhomogeneous nonlinear Schr\"odinger equations. While most existing results focus on spatial dimensions $d\geq2$, the decay properties in one dimension remain less
Externí odkaz:
http://arxiv.org/abs/2412.08272