Zobrazeno 1 - 10
of 96
pro vyhledávání: '"35Q35, 35B65"'
This paper concerns the Dirichlet problem of three-dimensional inhomogeneous Navier-Stokes equations with density-dependent viscosity. When the viscosity coefficient $\mu(\rho)$ is a power function of the density ($\mu(\rho)=\mu\rho^\alpha$ with $\al
Externí odkaz:
http://arxiv.org/abs/2408.00333
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
Autor:
Ai, Albert, Liu, Grace
We consider the well-posedness of the family of dispersion generalized Benjamin-Ono equations. Earlier work of Herr-Ionescu-Kenig-Koch established well-posedness with data in $L^2$, by using a discretized gauge transform in the setting of Bourgain sp
Externí odkaz:
http://arxiv.org/abs/2407.01472
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
We study unique continuation properties of solutions to the b-family of equations. This includes the Camassa-Holm and the Degasperi-Procesi models. We prove that for both, the initial value problem and the periodic boundary value problem, the unique
Externí odkaz:
http://arxiv.org/abs/2405.08258
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
In this paper, we study the Liouville-type property for smooth solutions to the steady 3D tropical climate model. We prove that if a smooth solution $(u,v,\theta)$ satisfies $u \in L^3 (\mathbb{R}^3)$, $v \in L^2 (\mathbb{R}^3)$, and $\nabla \theta \
Externí odkaz:
http://arxiv.org/abs/2312.17441
Autor:
Ai, Albert, Avadanei, Ovidiu-Neculai
We consider the well-posedness of the generalized surface quasi-geostrophic (gSQG) front equation. By using the null structure of the equation via a paradifferential normal form analysis, we obtain balanced energy estimates, which allow us to prove t
Externí odkaz:
http://arxiv.org/abs/2311.07551
Autor:
Ai, Albert, Avadanei, Ovidiu-Neculai
In this article we consider the low regularity well-posedness of the surface quasi-geostrophic (SQG) front equation. Recent work on other quasilinear models, including the gravity water waves system and nonlinear waves, have demonstrated that in pres
Externí odkaz:
http://arxiv.org/abs/2310.20143
Autor:
Dechicha, Dahmane
In this paper, we prove propagation of $\frac{1}{s}$-Gevrey regularity $(s \in (0, 1))$ and analyticity $(s=1)$ for the Vlasov-Navier-Stokes system on $\mathbb{T}^d \times \mathbb{R}^d$ (and $\mathbb{R}^d\times\mathbb{R}^d$) using a Fourier space met
Externí odkaz:
http://arxiv.org/abs/2310.14273