具有吸引力里兹相互作用力的阻尼欧拉系统

IF 1.1 3区数学 Q1 MATHEMATICS Journal of Evolution Equations Pub Date : 2024-08-08 DOI:10.1007/s00028-024-00998-z

Young-Pil Choi, Jinwook Jung, Yoonjung Lee

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引用次数: 0

摘要

我们考虑了在周期域中具有成对吸引力 Riesz 相互作用和线性速度阻尼的气压欧拉方程。如果 Riesz 相互作用项的系数较小，我们将建立系统在平衡状态附近的全局-时间拟合理论。我们还分析了解的大时间行为，结果表明随着时间的无穷大，其向平衡态的收敛速度呈指数增长。

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Damped Euler system with attractive Riesz interaction forces

We consider the barotropic Euler equations with pairwise attractive Riesz interactions and linear velocity damping in the periodic domain. We establish the global-in-time well-posedness theory for the system near an equilibrium state if the coefficient of the Riesz interaction term is small. We also analyze the large-time behavior of solutions showing the exponential rate of convergence toward the equilibrium state as time goes to infinity.

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来源期刊

Journal of Evolution Equations 数学-数学

CiteScore

2.30

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Evolution Equations (JEE) publishes high-quality, peer-reviewed papers on equations dealing with time dependent systems and ranging from abstract theory to concrete applications. Research articles should contain new and important results. Survey articles on recent developments are also considered as important contributions to the field. Particular topics covered by the journal are: Linear and Nonlinear Semigroups Parabolic and Hyperbolic Partial Differential Equations Reaction Diffusion Equations Deterministic and Stochastic Control Systems Transport and Population Equations Volterra Equations Delay Equations Stochastic Processes and Dirichlet Forms Maximal Regularity and Functional Calculi Asymptotics and Qualitative Theory of Linear and Nonlinear Evolution Equations Evolution Equations in Mathematical Physics Elliptic Operators