Zobrazeno 1 - 10
of 395
pro vyhledávání: '"35B40, 35B45"'
Autor:
Özsarı, Türker, Susuzlu, İdem
We study linear damped and viscoelastic wave equations evolving on a bounded domain. For both models, we assume that waves are subject to an inhomogeneous Neumann boundary condition on a portion of the domain's boundary. The analysis of these models
Externí odkaz:
http://arxiv.org/abs/2410.09994
Autor:
Quittner, Pavol, Souplet, Philippe
We establish Liouville type theorems in the whole space and in a half-space for parabolic problems without scale invariance. To this end, we employ two methods, respectively based on the corresponding elliptic Liouville type theorems and energy estim
Externí odkaz:
http://arxiv.org/abs/2409.20049
Autor:
Wilczak, Daniel, Zgliczyński, Piotr
We present a new algorithm for the rigorous integration of the variational equation (i.e. producing $\mathcal C^1$ estimates) for a class of dissipative PDEs on the torus. As an application for some parameter value for the Kuramoto-Sivashinsky PDE on
Externí odkaz:
http://arxiv.org/abs/2405.17087
Discontinuous Galerkin (DG) methods are widely adopted to discretize the radiation transport equation (RTE) with diffusive scalings. One of the most important advantages of the DG methods for RTE is their asymptotic preserving (AP) property, in the s
Externí odkaz:
http://arxiv.org/abs/2404.10159
In this work we prove that the non-negative functions $u \in L^s_{loc}(\Omega)$, for some $s>0$, belonging to the De Giorgi classes \begin{equation}\label{eq0.1} \fint\limits_{B_{r(1-\sigma)}(x_{0})} \big|\nabla \big(u-k\big)_{-}\big|^{p}\, dx \leqsl
Externí odkaz:
http://arxiv.org/abs/2403.13539
In this paper, we study the 3-D parabolic-parabolic and parabolic-elliptic Keller-Segel models with Couette flow in $\mathbb{R}^3$. We prove that the blow-up phenomenon of solution can be suppressed by enhanced dissipation of large Couette flows. Her
Externí odkaz:
http://arxiv.org/abs/2311.18590
Autor:
Li, Xiaoyan, Ikehata, Ryo
We report that the quantity measured in the $L^2$ norm of the solution itself of the generalized Rosenau equation, which was completely unknown in this equation, grows in the proper order at time infinity. It is also immediately apparent that this gr
Externí odkaz:
http://arxiv.org/abs/2311.01027
In highly diffusion regimes when the mean free path $\varepsilon$ tends to zero, the radiative transfer equation has an asymptotic behavior which is governed by a diffusion equation and the corresponding boundary condition. Generally, a numerical sch
Externí odkaz:
http://arxiv.org/abs/2309.09394
Publikováno v:
Discrete Contin. Dyn. Syst.2024
We consider the following critical fractional Schr\"{o}dinger equation \begin{equation*} (-\Delta)^s u+V(|y'|,y'')u = u^{2_s^*-1},\quad u>0,\quad y =(y',y'') \in \mathbb{R}^3\times\mathbb{R}^{N-3}, \end{equation*} where $N\geq 3,s\in(0,1)$, $2_s^*=\f
Externí odkaz:
http://arxiv.org/abs/2307.02272
Autor:
Yao, Qi
We solve the geodesic equation in the space of K\"ahler metrics under the setting of asymptotically locally Euclidean (ALE) K\"ahler manifolds and we prove global $\mathcal{C}^{1,1}$ regularity of the solution. Then, we relate the solution of the geo
Externí odkaz:
http://arxiv.org/abs/2307.01991