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Nonuniqueness in law for stochastic hypodissipative Navier-Stokes equations

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 227 ()

We study the incompressible hypodissipative Navier-Stokes equations with dis-sipation exponent 0 < alpha < 21 on the three-dimensional torus per......

Elliptic Weingarten surfaces: Singularities, rotational examples and the halfspace theorem

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 232 ()

We show by phase space analysis that there are exactly 17 possible qualitative behaviors for a rotational surface in R3 that satisfies an arbitrary el......

Thermo-elastic waves in a model with nonlinear adhesion

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 232 ()

In the context of thermo-elasticity we consider initial boundary value problems governed by parabolic and hyperbolic heat propagations. In particular,......

Convergence rate of solutions towards spiky steady state for the Keller-Segel system with logarithmic sensitivity

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 232 ()

We study the large time behaviors of solutions to the Keller-Segel system with logarithmic singular sensitivity in the half space, where biological mi......

Conical traveling fronts for nonlocal bistable equations in 1[83

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 233 ()

We investigate the existence and qualitative properties of conical traveling fronts for the bistable nonlocal equations. Based on the existence result......

Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large oscillations and vacuum?

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 235 ()

We consider the Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with vacuum in R3. Based on delicate energy estimates, ......

The volume-preserving Willmore flow

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 230 ()

We consider a closed surface in R3 evolving by the volume-preserving Willmore flow and prove a lower bound for the existence time of smooth solutions.......

Anisotropic fast diffusion equations

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 233 ()

We prove the existence of self-similar fundamental solutions (SSF) of the anisotropic porous medium equation in the suitable fast diffusion range. Eac......

Stochastic inviscid Leray-α model with transport noise: Convergence rates and CLT

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 234 ()

We consider the stochastic inviscid Leray-alpha model on the torus driven by transport noise. Under a suitable scaling of the noise, we prove that the......

The slope-of-a-mountain problem in a cross gravitational wind

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 235 ()

In this paper, the Matsumoto slope-of-a-mountain problem is revisited. We present a general model of the slope as a Riemannian manifold, exploiting th......

Differential Harnack inequalities for semilinear parabolic equations on RCD*(K, N) metric measure spaces

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 237 ()

We present a unified method to derive differential Harnark inequalities for locally positive weak solutions to semilinear parabolic equations on RCD*(......

Optimal decay rates for semi-linear non-autonomous evolution equations with vanishing damping

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 230 ()

We consider a second order non-autonomous evolution equation in a Hilbert space 7-t u ''(t) + Au(t) + gamma(t)u '(t) + VF (u(t)) = 0, where A is a sel......

On minimizers of the 2D Ginzburg-Landau energy with tangential anchoring

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 232 ()

We analyze Ginzburg-Landau minimization problems in two dimensions with either a strong or weak tangential boundary condition. These problems are moti......

Lipschitz and Triebel-Lizorkin spaces, commutators in Dunkl setting

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 237 ()

We first study the Lipschitz spaces Lambda(beta)(d) associated with the Dunkl metric, beta is an element of (0, 1), and prove that it is a proper subs......

Local null controllability for the thermistor problem

期刊: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023; 236 ()

In this paper, we deal with the local null controllability of an initial boundary value problem for a thermistor equation. The control is distributed,......

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