Zobrazeno 1 - 10
of 993
pro vyhledávání: '"35M10"'
In this article, we establish variational characterization of solutions of a mixed local and nonlocal singular semilinear elliptic problem. As an application of this fact, we deduce decomposition property. Further, using moving plane method, we prove
Externí odkaz:
http://arxiv.org/abs/2408.09924
Autor:
Garain, Prashanta
This article is twofold. In the first part of the article, we consider Brezis-Oswald problem involving the mixed anisotropic and nonlocal $p$-Laplace operator and establish existence, uniqueness, boundedness and strong maximum principle. Further, for
Externí odkaz:
http://arxiv.org/abs/2407.17928
This paper is concerned with the large time behavior of the solutions to the Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system with the immiscible two-phase flow initially located near the phase separation state. Und
Externí odkaz:
http://arxiv.org/abs/2407.03547
In this paper, we study the large time behavior and sharp interface limit of the Cauchy problem for compressible Navier-Stokes/Allen-Cahn system with interaction shock waves in the same family. This system is an important mathematical model for descr
Externí odkaz:
http://arxiv.org/abs/2406.01902
Autor:
Bae, Myoungjean
In this paper, two examples of sonic interfaces are presented. The first example shows the case of sonic interfaces as weak discontinuities in self-similar shock configurations of unsteady Euler system. The second example shows the case of sonic inte
Externí odkaz:
http://arxiv.org/abs/2405.05717
In this paper, the large time behavior of the solutions for the Cauchy problem to the one-dimensional compressible Navier-Stokes system with the motion of a viscous heat-conducting perfect polytropic gas is investigated.Our result shows that the comb
Externí odkaz:
http://arxiv.org/abs/2403.15663
Autor:
Astuto, Clarissa
In this paper we propose high order numerical methods to solve a 2D advection-diffusion equation, in the highly oscillatory regime. We use an integrator strategy that allows the construction of arbitrary high-order schemes which leads to an accurate
Externí odkaz:
http://arxiv.org/abs/2401.12226
We analyze a system of nonlinear stochastic partial differential equations (SPDEs) of mixed elliptic-parabolic type that models the propagation of electric signals and their effect on the deformation of cardiac tissue. The system governs the dynamics
Externí odkaz:
http://arxiv.org/abs/2309.13455
Autor:
Zhu, Yongxing
We derive rigorously the reduced dynamical law for quantized vortex dynamics of the nonlinear Schr\"odinger equation with wave operator on the torus when the core size of vortex $\varepsilon \to 0$. It is proved that the reduced dynamical law of the
Externí odkaz:
http://arxiv.org/abs/2308.10640
In this paper, we prove the existence of two-dimensional solutions to the steady Euler-Poisson system with continuous transonic transitions across sonic interfaces of codimension 1. First, we establish the well-posedness of a boundary value problem f
Externí odkaz:
http://arxiv.org/abs/2308.04694