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The Maximum Principle and the Global Attractor for the Dissipative 2D Quasi-Geostrophic Equations

https://doi.org/10.1007/s00220-004-1256-7

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Recensioni

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Surface quasi-geostrophic dynamics

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Growth of solutions for QG and 2D Euler equations

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Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation

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Behavior of Solutions of 2D Quasi-Geostrophic Equations

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Nonexistence of Simple Hyperbolic Blow-Up for the Quasi-Geostrophic Equation

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Existence of solutions for an inhomogeneous fractional semilinear heat equation

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On dimension of the global attractor for 2D quasi-geostrophic equations

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Optimal convergence rates of the supercritical surface quasi-geostrophic equation

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Long time behavior for the critical modified surface quasi-geostrophic equation

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Regularity and Blow up for Active Scalars

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Global existence and uniqueness for a nonlinear Boussinesq system in dimension two

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Well-posedness and dynamics for the fractional Ginzburg-Landau equation

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Persistence of global well-posedness for the two dimensional Boussinesq system with non-homogeneous boundary

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Well-posedness of the fractional Ginzburg–Landau equation

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Sharp critical exponents for nonlinear equations with the fractional Laplacian

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The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations

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Incompressible flow in porous media with fractional diffusion

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Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation

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Spatial-decay of solutions to the quasi-geostrophic equation with the critical and supercritical dissipation

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Uniform pointwise asymptotics of solutions to quasi-geostrophic equation *

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Existence and decay of mild solutions to fractional dissipative quasi-geostrophic type equations on R n *

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Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation

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Qualitative properties of solutions to a time-space fractional evolution equation

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Decay of mass for fractional evolution equation with memory term

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Non-decaying solutions to the critical surface quasi-geostrophic equations with symmetries

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Effective degrees of nonlinearity in a family of generalized models of two-dimensional turbulence

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Global Regularity of Solutions of 2D Magnetohydrodynamic Equations with Fractional Power Diffusion

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Nonexistence of Global Weak Solutions for Evolution Equations with Fractional Laplacian

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Attractors for 2D quasi-geostrophic equations with and without colored noise in W2α−,p(ℝ2)

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Global existence for the regularized surface Quasi-geostrophic equation and its inviscid limits

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The global attractor of the 2D Boussinesq system with fractional vertical dissipation

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Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation

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On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities

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Pseudodifferential parabolic equations; two examples

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Global existence of large solutions to conservation laws with nonlocal dissipation-type terms

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The global attractor for the two-dimensional quasi-geostrophic equations

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Results of nonexistence of solutions for some nonlinear evolution problems

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Dissipative Quasi-Geostrophic Equation: Local Well-posedness, Global Regularity and Similarity Solutions

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Dissipative Models Generalizing the 2D Navier-Stokes and the Surface Quasi-Geostrophic Equations

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A Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic Equation

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Finite-Dimensionality and Determining Modes of the Global Attractor for 2D Boussinesq Equations with Fractional Laplacian

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Long time behavior of solutions to 3D generalized MHD equations

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Existence and Nonexistence of Solutions to the Hardy Parabolic Equation

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Continuous Data Assimilation with Blurred-in-Time Measurements of the Surface Quasi-Geostrophic Equation

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Role of forcing in large-time behavior of vorticity equation solutions on a sphere

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On the global well-posedness of one-dimensional fluid models with nonlocal velocity

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Global regularity for the 2D micropolar Rayleigh-B e nard convection system with velocity zero dissipation and temperature critical dissipation

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Blow-up results for damped wave equation with fractional Laplacian and non linear memory

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Long time dynamics of stochastic fractionally dissipative quasi-geostrophic equations with stochastic damping

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Persistence of Global Well-Posedness for Fractional Dissipation Boussinesq System

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Dynamics and regularity for non-autonomous reaction-diffusion equations with anomalous diffusion

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A Fractional-Order Telegraph Diffusion Model for Restoring Texture Images with Multiplicative Noise

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NONEXISTENCE OF SOLUTIONS RESULTS FOR CERTAIN FRACTIONAL DIFFERENTIAL EQUATIONS

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On a generalized maximum principle for a transport-diffusion model with $\log$-modulated fractional dissipation

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The global attractor of the 2d Boussinesq equations with fractional Laplacian in subcritical case

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Existence and blow up of solutions to the $ 2D $ Burgers equation with supercritical dissipation

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Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay

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Regularity of global attractors and exponential attractors for $ 2 $D quasi-geostrophic equations with fractional dissipation

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Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation and strong singular kernel

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On one multidimensional compressible nonlocal model of the dissipative QG equations

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Effective estimates of the higher Sobolev norms for the Kuramoto-Sivashinsky equation

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Wellposedness and regularity of solutions of an aggregation equation

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Exploding solutions for a nonlocal quadratic evolution problem

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Quasi-geostrophic equations, nonlinear Bernstein inequalities and $\alpha$-stable processes

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Отсутствие глобальных слабых решений для эволюционных уравнений с дробным лапласианом

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Regularity criteria of the porous media equation in terms of one partial derivative or pressure field

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Second proof of the global regularity of the two-dimensional MHD system with full diffusion and arbitrary weak dissipation

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Existência e unicidade de soluções globais suaves para a equação quase-geostrófica crítica

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The Kuramoto-Sivashinsky equation in R^1 and R^2: effective estimates of the high-frequency tails and higher Sobolev norms

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Regularity and blow up for active scalars

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A Semi Discrete Dynamical System for a 2D Dissipative Quasi Geostrophic Equation

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On Global Regularity of 2D Generalized Magnetohydrodynamic Equations

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The global attractor of the 2D Boussinesq equations with fractional Laplacian in Subcritical case

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The finite dimensions and determining modes of the global attractor for 2d Boussinesq equations with fractional Laplacian

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