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 共查询到20条相似文献,搜索用时 46 毫秒
1.
Mangiacapra  Gennaro  Wittal  Matthew  Capello  Elisa  Nazari  Morad 《Nonlinear dynamics》2022,108(3):2127-2146
Nonlinear Dynamics - This paper presents a novel rigid-body navigation and control architecture within the framework of special Euclidean group $$\mathsf {SE(3)}$$ and its tangent bundle $$\mathsf...  相似文献   

2.
Li  Long-Xing 《Nonlinear dynamics》2022,108(2):1627-1640
Nonlinear Dynamics - A ( $$3+1$$ )-dimensional generalized shallow water waves equation is investigated with different methods. Based on symbolic computation and Hirota bilinear form, N-soliton...  相似文献   

3.
Chen  Yiren  Liu  Zhengrong 《Nonlinear dynamics》2017,87(2):1069-1080
Nonlinear Dynamics - In this paper, we consider the (3 $$+$$ 1)-dimensional water wave equation $$u_{yzt}+u_{xxxyz}-6u_{x}u_{xyz}-6u_{xy}u_{xz}=0.$$ Based on Bell polynomials, we obtain its Hirota...  相似文献   

4.
Zhang  Yan  Liu  Yinping  Tang  Xiaoyan 《Nonlinear dynamics》2018,93(4):2533-2541
Nonlinear Dynamics - This paper aims at computing M-lump solutions for the $$(3+1)$$ -dimensional nonlinear evolution equation. These solutions in all directions decline to an identical state...  相似文献   

5.
Gao  Li-Na  Zi  Yao-Yao  Yin  Yu-Hang  Ma  Wen-Xiu    Xing 《Nonlinear dynamics》2017,89(3):2233-2240
Nonlinear Dynamics - In this paper, a $$(3+1)$$ -dimensional nonlinear evolution equation is cast into Hirota bilinear form with a dependent variable transformation. A bilinear Bäcklund...  相似文献   

6.
Sharma  Manmohan  Kar  Indrani 《Nonlinear dynamics》2021,104(4):3617-3631
Nonlinear Dynamics - The article proposes a distributed attitude consensus algorithm for multi-agent rigid bodies on the tangent bundle $$\mathrm{TSO}(3)^N$$ . It is assumed that a directed fixed...  相似文献   

7.
Journal of Dynamics and Differential Equations - Let $$\text {Homeo}_{+}(\mathbb {S}^1)$$ denote the group of orientation preserving homeomorphisms of the circle $$\mathbb {S}^1$$ . A subgroup G of...  相似文献   

8.
Huang  Qian-Min  Gao  Yi-Tian 《Nonlinear dynamics》2017,89(4):2855-2866
Nonlinear Dynamics - Under investigation in this paper is a $$(2 + 1)$$ -dimensional extended shallow water wave equation. Bilinear form is obtained via the generalized dependent variable...  相似文献   

9.
Lu  Kai  Xu  Wenjing  Xiang  Qiaomin 《Nonlinear dynamics》2021,104(1):149-164
Nonlinear Dynamics - The aim here is to study complex dynamical behavior in a new kind of non-smooth systems with two discontinuous boundaries in space $$\mathbb {R}^3$$ . This paper provides an...  相似文献   

10.
Sun  Yan  Tian  Bo  Yuan  Yu-Qiang  Du  Zhong 《Nonlinear dynamics》2018,94(4):3029-3040
Nonlinear Dynamics - Under investigation in this work is a $$(2+1)$$ -dimensional Davey–Stewartson system, which describes the surface water wave packets of finite depth. With respect to the...  相似文献   

11.
Zhao  Zhonglong  He  Lingchao 《Nonlinear dynamics》2020,100(3):2753-2765
Nonlinear Dynamics - In this paper, a generalized $$(2+1)$$-dimensional nonlinear wave equation is obtained by extending the generalized $$(2+1)$$-dimensional Hirota bilinear equation into a more...  相似文献   

12.
Lu  Yi  Wang  Peng  Ye  Nijia 《Nonlinear dynamics》2018,91(2):1127-1144
Nonlinear Dynamics - A novel 3UPUR  $$+$$  SP-type hybrid hand with three flexible fingers is designed. Its prototype is built up, and its characteristics, DoF and constrained...  相似文献   

13.
Lv  Jianqing  Bilige  Sudao 《Nonlinear dynamics》2017,90(3):2119-2124
Nonlinear Dynamics - In this paper, we obtained a kind of lump solutions of ( $$2+1$$ )-dimensional bSK equation with the assistance of Mathematica by using the Hirota bilinear method. These lump...  相似文献   

14.
We obtain attractor and inertial-manifold results for a class of 3D turbulent flow models on a periodic spatial domain in which hyperviscous terms are added spectrally to the standard incompressible Navier–Stokes equations (NSE). Let P m be the projection onto the first m eigenspaces of A =−Δ, let μ and α be positive constants with α ≥3/2, and let Q m =IP m , then we add to the NSE operators μ A φ in a general family such that A φQ m A α in the sense of quadratic forms. The models are motivated by characteristics of spectral eddy-viscosity (SEV) and spectral vanishing viscosity (SVV) models. A distinguished class of our models adds extra hyperviscosity terms only to high wavenumbers past a cutoff λ m0 where m 0m, so that for large enough m 0 the inertial-range wavenumbers see only standard NSE viscosity. We first obtain estimates on the Hausdorff and fractal dimensions of the attractor (respectively and ). For a constant K α on the order of unity we show if μ ≥ ν that and if μ ≤ ν that where ν is the standard viscosity coefficient, l 0 = λ1−1/2 represents characteristic macroscopic length, and is the Kolmogorov length scale, i.e. where is Kolmogorov’s mean rate of dissipation of energy in turbulent flow. All bracketed constants and K α are dimensionless and scale-invariant. The estimate grows in m due to the term λ m 1 but at a rate lower than m 3/5, and the estimate grows in μ as the relative size of ν to μ. The exponent on is significantly less than the Landau–Lifschitz predicted value of 3. If we impose the condition , the estimates become for μ ≥ ν and for μ ≤ ν. This result holds independently of α, with K α and c α independent of m. In an SVV example μ ≥ ν, and for μ ≤ ν aspects of SEV theory and observation suggest setting for 1/c within α orders of magnitude of unity, giving the estimate where c α is within an order of magnitude of unity. These choices give straight-up or nearly straight-up agreement with the Landau–Lifschitz predictions for the number of degrees of freedom in 3D turbulent flow with m so large that (e.g. in the distinguished-class case for m 0 large enough) we would expect our solutions to be very good if not virtually indistinguishable approximants to standard NSE solutions. We would expect lower choices of λ m (e.g. with a > 1) to still give good NSE approximation with lower powers on l 0/l ε, showing the potential of the model to reduce the number of degrees of freedom needed in practical simulations. For the choice , motivated by the Chapman–Enskog expansion in the case m = 0, the condition becomes , giving agreement with Landau–Lifschitz for smaller values of λ m then as above but still large enough to suggest good NSE approximation. Our final results establish the existence of a inertial manifold for reasonably wide classes of the above models using the Foias/Sell/Temam theory. The first of these results obtains such an of dimension N > m for the general class of operators A φ if α > 5/2. The special class of A φ such that P m A φ = 0 and Q m A φQ m A α has a unique spectral-gap property which we can use whenever α ≥ 3/2 to show that we have an inertial manifold of dimension m if m is large enough. As a corollary, for most of the cases of the operators A φ in the distinguished-class case that we expect will be typically used in practice we also obtain an , now of dimension m 0 for m 0 large enough, though under conditions requiring generally larger m 0 than the m in the special class. In both cases, for large enough m (respectively m 0), we have an inertial manifold for a system in which the inertial range essentially behaves according to standard NSE physics, and in particular trajectories on are controlled by essentially NSE dynamics.   相似文献   

15.
Shear viscosities and oscillatory viscosities were measured for the two-phase system polyethylene oxide/poly(dimethylsiloxane) at 70 °C as a function of composition. This blend exhibits the usual droplet/matrix structures in the vicinity of the pure components and a region of co-continuity within which two droplet/matrix structures coexist. A stepwise reduction in the shear rate, , leads to a rapid increase in viscosity followed by a much slower exponential decay; plots of the corresponding rate constants as a function of composition exhibit two discontinuities marking the boundaries of co-continuity; a similar dependence is obtained for the time independent final viscosities . Keeping the blend composition constant and determining as a function of yields a curve that passes a distinct maximum, where the viscosities are very close to that of the less viscous pure component on both ends of this dependence. The dynamic mechanical measurements of the blends yield at low frequencies storage moduli G′ that are orders of magnitude larger than that of the components because of the deformation of the interfaces. At high frequencies, the loss moduli G″ reflect the increasing alignment of the drops suspended in the matrix phases. The composition dependencies of G′ and of the complex viscosities can again be used to determine the limits of co-continuity.  相似文献   

16.
Osman  M. S.  Machado  J. A. T. 《Nonlinear dynamics》2018,93(2):733-740
Nonlinear Dynamics - A variety of new types of nonautonomous combined multi-wave solutions of the ( $$2+1$$ )-dimensional variable coefficients KdV equation is derived by means of the generalized...  相似文献   

17.
We prove time local existence and uniqueness of solutions to a boundary layer problem in a rotating frame around the stationary solution called the Ekman spiral. We choose initial data in the vector-valued homogeneous Besov space for 2 <  p <  ∞. Here the L p -integrability is imposed in the normal direction, while we may have no decay in tangential components, since the Besov space contains nondecaying functions such as almost periodic functions. A crucial ingredient is theory for vector-valued homogeneous Besov spaces. For instance we provide and apply an operator-valued bounded H -calculus for the Laplacian in for a general Banach space .  相似文献   

18.
Zhou  Tian-Yu  Tian  Bo  Chen  Yu- Qi  Shen  Yuan 《Nonlinear dynamics》2022,108(3):2417-2428
Nonlinear Dynamics - Burgers-type equations are used to describe certain phenomena in gas dynamics, traffic flow, plasma astrophysics and ocean dynamics. In this paper, a (2 $$+$$ 1)-dimensional...  相似文献   

19.
Li  Liu-Qing  Gao  Yi-Tian  Hu  Lei  Jia  Ting-Ting  Ding  Cui-Cui  Feng  Yu-Jie 《Nonlinear dynamics》2020,100(3):2729-2738
Nonlinear Dynamics - In this paper, we investigate a ( $$2+1$$ )-dimensional Sawada–Kotera (SK) equation for the atmosphere, rivers, lakes, oceans, as well as the conformal field and...  相似文献   

20.
Existence and uniqueness of local strong solutions and small global strong solutions of an evolutionary system of magnetohydrodynamics type in the whole space will be proved in this paper. Moreover, some decay properties of the strong solutions will also be presented.  相似文献   

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