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pro vyhledávání: '"35b40"'
In this paper, we deal with the following mixed local/nonlocal Schr\"{o}dinger equation \begin{equation*} \left\{ \begin{array}{ll} - \Delta u + (-\Delta)^s u+u = u^p \quad \hbox{in $\mathbb{R}^n$,} u>0 \quad \hbox{in $\mathbb{R}^n$,} \lim\limits_{|x
Externí odkaz:
http://arxiv.org/abs/2411.09941
Autor:
Redle, Michael, Herty, Michael
We consider the simulation of isentropic flow in pipelines and pipe networks. Standard operating conditions in pipe networks suggest an emphasis to simulate low Mach and high friction regimes -- however, the system is stiff in these regimes and conve
Externí odkaz:
http://arxiv.org/abs/2411.09162
We study the long-time behaviour of solutions to some classes of fourth-order nonlinear PDEs with non-monotone nonlinearities, which include the Landau--Lifshitz--Baryakhtar (LLBar) equation (with all relevant fields and spin torques) and the convect
Externí odkaz:
http://arxiv.org/abs/2411.09034
We investigate the stability with respect to homogenization of classes of integrals arising in the control-theoretic interpretation of some Hamilton-Jacobi equations. The prototypical case is the homogenization of energies with a Lagrangian consistin
Externí odkaz:
http://arxiv.org/abs/2411.07756
This note establishes sharp time-asymptotic algebraic rate bounds for the classical evolution problem of Fujita, but with sublinear rather than superlinear exponent. A transitional stability exponent is identified, which has a simple reciprocity rela
Externí odkaz:
http://arxiv.org/abs/2411.07437
Autor:
Miura, Tatsuya
We solve a variant of Huisken's problem for open curves: we construct migrating elastic flows under the natural boundary conditions, extending previous work from the nonlocal flow to the purely local flow.
Comment: 8 pages, 1 figure
Comment: 8 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2411.03751
Autor:
Du, Yingzhi, Liu, Hairong
This paper concerns an initial boundary value problem of compressible Navier-Stokes-Poisson equations with the non-flat doping profile in a 3-D exterior domain.The global existence of strong solutions near a steady state for compressible Navier-Stoke
Externí odkaz:
http://arxiv.org/abs/2411.03594
Autor:
Papageorgiou, Effie
The main goal of this work is to study the $L^p$-asymptotic behavior of solutions to the heat equation on arbitrary rank Riemannian symmetric spaces of non-compact type $G/K$ for non-bi-$K$ invariant initial data. For initial data $u_0$ compactly sup
Externí odkaz:
http://arxiv.org/abs/2411.02940
We investigate the existence of normalized solutions for the following nonlinear fractional Choquard equation: $$ (-\Delta)^s u+V(\epsilon x)u=\lambda u+\left(I_\alpha *|u|^q\right)|u|^{q-2} u+\left(I_\alpha *|u|^p\right)|u|^{p-2} u, \quad x \in \mat
Externí odkaz:
http://arxiv.org/abs/2411.01476
Autor:
Xie, Yaowei, Yu, Huan
In this paper, we are concerned with the 2D damped wave-type magnetohydrodynamic system (abbreviated as MHD-wave system). The purpose of this paper is to study the large time behavior of solutions to the MHD-wave system, espesically to investigate th
Externí odkaz:
http://arxiv.org/abs/2411.01461