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Analysing two-dimensional shallow water equations with idealised bottom topographies have many applications in the atmospheric and oceanic sciences; however, restrictive flow pattern assumptions have been made to achieve explicit solutions.…

Fluid Dynamics · Physics 2023-05-01 Chang Liu , Antwan D. Clark

In the paper a new nonlinear equation describing shallow water waves with the topography of the bottom directly taken into account is derived. This equation is valid in the weakly nonlinear, dispersive and long wavelength limit. Some…

Pattern Formation and Solitons · Physics 2014-05-22 Anna Karczewska , Piotr Rozmej , Łukasz Rutkowski

By coupling the Boltzmann transport equations of both quarkonium and open heavy quarks, we investigate their dynamical evolution inside the quark-gluon plasma and study quarkonium production in heavy ion collisions. The Boltzmann transport…

High Energy Physics - Phenomenology · Physics 2019-02-20 Xiaojun Yao , Weiyao Ke , Yingru Xu , Steffen Bass , Berndt Müller

Anisotropic transverse flow is studied in Pb+Pb and Au+Au collisions at SPS and RHIC energies. The centrality and transverse momentum dependence at midrapidity of the elliptic flow coefficient v_2 is calculated in the hydrodynamic and low…

High Energy Physics - Phenomenology · Physics 2009-10-09 P. F. Kolb , P. Huovinen , U. Heinz , H. Heiselberg

This paper is concerned with the attraction-repulsion chemotaxis system with superlinear logistic degradation, \begin{align*} \begin{cases} u_t = \Delta u - \chi \nabla\cdot(u \nabla v) + \xi \nabla\cdot (u \nabla w) + \lambda u - \mu u^k,…

Analysis of PDEs · Mathematics 2021-04-02 Yutaro Chiyo , Monica Marras , Yuya Tanaka , Tomomi Yokota

Elliptic flow in heavy-ion collisions is an important signature of a possible de-confinement transition from hadronic phase to partonic phase. In the present work, we use non-extensive statistics, which has been used for transverse momentum…

High Energy Physics - Phenomenology · Physics 2018-03-06 Sushanta Tripathy , Swatantra Kumar Tiwari , Mohammed Younus , Raghunath Sahoo

Elliptic flow ($v_2$) measurements of inclusive charged hadrons at mid-rapidity ($|\eta| <$ 1.0) in Au+Au collisions at $E_{lab} = 35\mathrm{~A~GeV}$ using the Parton Hadron String Dynamics (PHSD) model are presented as a function of…

Nuclear Experiment · Physics 2023-02-24 Waseem Bhat , M. Farooq Mir , Vipul Bairathi , Towseef Bhat , Sonia Kabana , Shabir Bhat

The interaction of an oblique line soliton with a one-dimensional dynamic mean flow is analyzed using the Kadomtsev-Petviashvili II (KPII) equation. Building upon previous studies that examined the transmission or trapping of a soliton by a…

Pattern Formation and Solitons · Physics 2021-08-11 Samuel J. Ryskamp , Mark A. Hoefer , Gino Biondini

The evolution of an initial perturbation in Vlasov plasma is studied in the intrinsically nonlinear long-time limit dominated by the effects of particle trapping. After the possible transient linear exponential Landau damping, the evolution…

chao-dyn · Physics 2008-02-03 M. B. Isichenko

A large anti-correlation signal between elliptic flow $v_2$ and average transverse momentum $[p_{\mathrm{T}}]$ was recently measured in small collision systems, consistent with a final-state hydrodynamic response to the initial geometry.…

Nuclear Theory · Physics 2022-01-04 Chunjian Zhang , Arabinda Behera , Somadutta Bhatta , Jiangyong Jia

An alternative way for the derivation of the new KdV-type equation is presented. The equation contains terms depending on the bottom topography (there are six new terms in all, three of which are caused by the unevenness of the bottom). It…

Pattern Formation and Solitons · Physics 2014-08-19 Anna Karczewska , Piotr Rozmej , Eryk Infeld

We present the measurement of elliptic flow ($v_{2}$) as a function of transverse momentum ($p_{T}$) for the $\phi$-meson in Au+Au collisions at $\sqrt{s_{NN}}$ = 7.7, 11.5 and 39 GeV. At low $p_{T}$ $\phi$-meson $v_{2}$ decreases with…

Nuclear Experiment · Physics 2019-08-13 Md. Nasim

Recent data from the NA49 experiment on directed and elliptic flow for Pb+Pb reactions at CERN-SPS are compared to calculations with a hadron-string transport model, the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) model. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hannah Petersen , Qingfeng Li , Xianglei Zhu , Marcus Bleicher

The ground-state properties of two-component bosonic mixtures in a one-dimensional optical lattice are studied both from few- and many-body perspectives. We rely directly on a microscopic Hamiltonian with attractive inter-component and…

Quantum Gases · Physics 2021-01-20 Ivan Morera , Grigori E. Astrakharchik , Artur Polls , Bruno Juliá-Díaz

We present elliptic flow ($v_2$) of identified hadrons at mid-rapidity ($|y| < 1.0$) in Au+Au collisions at $E_{lab} = 35\mathrm{~A~GeV}$ using the Parton Hadron String Dynamics (PHSD) model. Transverse momentum ($p_\mathrm{T}$) dependence…

Nuclear Experiment · Physics 2024-07-11 B. Towseef , M. Farooq , V. Bairathi , B. Waseem , S. Kabana , S. Ahmad

At Large Hadron Collider energy, the expected large multiplicities suggests the presence of collective behavior even in pp collisions. A hydrodynamical approach has been applied to estimate the expected elliptic flow measured by the…

Nuclear Theory · Physics 2010-09-28 S. K. Prasad , Victor Roy , S. Chattopadhyay , A. K. Chaudhuri

We study the topological entropy of the Lagrangian flow restricted to an energy level $E_{L}^{-1}(c) \subset TM$ for $ c >e_0(L)$. We prove that if the flow of the Tonelli Lagrangian $ L: M \to \mathbb{R}$, on a closed manifold of dimension…

Dynamical Systems · Mathematics 2024-02-20 Gonzalo Contreras , José Antônio G. Miranda , Luiz Gustavo Perona

The hypersonic flow stability over a two-dimensional compression corner is studied using resolvent analysis, linear stability theory (LST) and parabolised stability equation (PSE). The authors find that the interaction between upstream…

Fluid Dynamics · Physics 2025-03-25 Peixu Guo , Jiaao Hao , Chih-Yung Wen

We use (3+1)-dimensional hydrodynamics with exact longitudinal boost-invariance to study the influence of collision centrality and initial energy density on the transverse flow pattern and the angular distributions of particles emitted near…

High Energy Physics - Phenomenology · Physics 2009-10-09 Peter F. Kolb , Josef Sollfrank , Ulrich Heinz

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

Fluid Dynamics · Physics 2011-11-02 Youngdon Kwon