Results 11 to 20 of about 36,597 (202)
Evolutionary dynamics on a regular networked structured and unstructured multi‐population
International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar +2 more
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Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
Open Mathematics, 2022 In this paper, we introduce a new metric space called the mixed-norm Lebesgue space, which allows its norm decay to zero with different rates as ∣x∣→∞| x| \to \infty in different spatial directions.
Liu Yongfang, Zhu Chaosheng
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A Class of Sixth Order Viscous Cahn-Hilliard Equation with Willmore Regularization in ℝ3
Mathematics, 2020 The main purpose of this paper is to study the Cauchy problem of sixth order viscous Cahn–Hilliard equation with Willmore regularization. Because of the existence of the nonlinear Willmore regularization and complex structures, it is difficult to obtain ...
Xiaopeng Zhao, Ning Duan
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Local well-posedness for the Maxwell-Schrödinger equation [PDF]
Mathematische Annalen, 2005 Time local well-posedness for the Maxwell-Schr dinger equation in the coulomb gauge is studied in Sobolev spaces by the contraction mapping principle. The Lorentz gauge and the temporal gauge cases are also treated by the gauge transform.
Nakamura, Makoto, Wada, Takeshi
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Unconditional local well-posedness for periodic NLS [PDF]
Journal of Differential Equations, 2021 The nonlinear Schr dinger equations with nonlinearities $|u|^{2k}u$ on the $d$-dimensional torus are considered for arbitrary positive integers $k$ and $d$. The solution of the Cauchy problem is shown to be unique in the class $C_tH^s_x$ for a certain range of scale-subcritical regularities $s$, which is almost optimal in the case $d\geq 4$ or $k\geq ...
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On the two-dimensional singular stochastic viscous nonlinear wave equations
Comptes Rendus. Mathématique, 2022 We study the stochastic viscous nonlinear wave equations (SvNLW) on $\mathbb{T}^2$, forced by a fractional derivative of the space-time white noise $\xi $.
Liu, Ruoyuan, Oh, Tadahiro
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Global well-posedness for the Klein-Gordon-Schrödinger system with higher order coupling [PDF]
Mathematica Bohemica, 2022 Global well-posedness for the Klein-Gordon-Schrödinger system with generalized higher order coupling, which is a system of PDEs in two variables arising from quantum physics, is proven.
Agus Leonardi Soenjaya
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Local well-posedness in Lovelock gravity [PDF]
Classical and Quantum Gravity, 2014 It has long been known that Lovelock gravity, being of Cauchy-Kowalevskaya type, admits a well defined initial value problem for analytic data. However, this does not address the physically important issues of continuous dependence of the solution on the data and the domain of dependence property.
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Local well-posedness of a nonlinear Fokker–Planck model
Nonlinearity, 2023 Abstract Noise or fluctuations play an important role in the modeling and understanding of the behavior of various complex systems in nature. Fokker–Planck equations are powerful mathematical tools to study behavior of such systems subjected to fluctuations. In this paper we establish local well-posedness result of a new nonlinear Fokker–
Yekaterina Epshteyn +3 more
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Local Well-Posedness of a Two-Component Novikov System in Critical Besov Spaces
Mathematics, 2022 In this paper, we establish the local well-posedness for a two-component Novikov system in the sense of Hadamard in critical Besov spaces Bp,11+1p(R)×Bp,11+1p(R),1 ...
Min Guo, Fang Wang, Shengqi Yu
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