Zobrazeno 1 - 10
of 173 546
pro vyhledávání: '"pdes"'
Parabolic trough power plants transform solar radiative energy into thermal energy which is then typically used to produce electricity. We consider a model derived in \cite{BGSP} to describe parabolic trough power plants. In particular, the thermo-fl
Externí odkaz:
http://arxiv.org/abs/2410.14575
We derive robust long-time a-priori estimates for the Navier-Stokes equation in a two-dimensional infinite strip which are uniform in the Reynolds number. These estimates provide several new scale invariant upper bounds for the size of the mixing lay
Externí odkaz:
http://arxiv.org/abs/2410.14557
We consider the non-isentropic compressible Navier-Stokes equation in a perturbed half space with an outflow boundary condition as well as the supersonic condition. This equation models a compressible viscous, heat-conductive, and Newtonian polytropi
Externí odkaz:
http://arxiv.org/abs/2410.14511
Autor:
Street, Brian
Let $(\mathfrak{M},\rho,\mu)$ be a metric space of homogeneous type, $p_0\in (1,\infty)$, and $T(t):L^{p_0}(\mathfrak{M},\mu)\rightarrow L^{p_0}(\mathfrak{M},\mu)$, $t\geq 0$, a strongly continuous semi-group. We provide sufficient conditions under w
Externí odkaz:
http://arxiv.org/abs/2410.14456
We study partial regularity for degenerate elliptic systems of double-phase type, where the growth function is given by $H(x,t)=t^p+a(x)t^q$ with $1
Externí odkaz:
http://arxiv.org/abs/2410.14350
Autor:
Li, Deke, Wang, Qingxuan
In this paper, we consider the cubic-quintic Schr\"{o}dinger energy function with radial trapping potential \begin{gather*} \begin{aligned} {E}(\varPhi)=\frac{1}{2}\int_{\mathbb{R}^d}\left(|\nabla \varPhi|^2+V(x)|\varPhi|^2\right)\,dx +\frac{\kappa}{
Externí odkaz:
http://arxiv.org/abs/2410.14300
Autor:
Donati, Martin
In this paper, we control the growth of the support of particular solutions to the Euler two-dimensional equations, whose vorticity is concentrated near special vortex crystals. These vortex crystals belong to the classical family of regular polygons
Externí odkaz:
http://arxiv.org/abs/2410.14221
Autor:
Xu, Yulun, Zheng, Kai
Let $D$ be a smooth divisor on a closed K\"ahler manifold $X$. First, we prove that Poincar\'e type constant scalar curvature K\"ahler (cscK) metric with a singularity at $D$ is unique up to a holomorphic transformation on $X$ that preserves $D$, if
Externí odkaz:
http://arxiv.org/abs/2410.14130
We study the optimal control problem of a free boundary PDE model describing the growth of multilayered tumor tissue in vitro. We seek the optimal amount of tumor growth inhibitor that simultaneously minimizes the thickness of the tumor tissue and mi
Externí odkaz:
http://arxiv.org/abs/2410.14114