Search Results - "Yuen, Manwai"

Blowup for $ {{\rm{C}}}^{1} $ solutions of Euler equations in $ {{\rm{R}}}^{N} $ with the second inertia functional of reference by Yuen, Manwai

“…The compressible Euler equations are an elementary model in mathematical fluid mechanics. In this article, we combine the Sideris and Makino-Ukai-Kawashima's…”
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Exact solutions to the three-dimensional incompressible magnetohydrodynamics equations without viscosity by Chen, Junchao, Yuen, Manwai

“…The incompressible magnetohydrodynamics (MHD) equations have been widely used to describe many physical systems in geophysics, astrophysics, cosmology and…”
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Remarks on analytical solutions to compressible Navier–Stokes equations with free boundaries by Dong, Jianwei, Yuen, Manwai

“…In this paper, we consider the free boundary problem of the radially symmetric compressible Navier–Stokes equations with viscosity coefficients of the form ) =…”
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Blowup for the Euler and Euler–Poisson equations with repulsive forces by Yuen, Manwai

“…In this paper, we study the blowup of the N -dim Euler or Euler–Poisson equations with repulsive forces, in radial symmetry. We provide a novel integration…”
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Blowup of smooth solutions to the compressible Euler equations with radial symmetry on bounded domains by Dong, Jianwei, Yuen, Manwai

“…In this paper, we study the blowup of smooth solutions to the compressible Euler equations with radial symmetry on some fixed bounded domains ( B R = { x ∈ R N…”
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Analytical blowup solutions to the 2-dimensional isothermal Euler–Poisson equations of gaseous stars by Yuen, Manwai

“…We study the Euler–Poisson equations of describing the evolution of the gaseous star in astrophysics. Firstly, we construct a family of analytical blowup…”
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Blowup of regular solutions and C1 solutions for free boundary problem of Euler–Poisson equations with repulsive force in Rn by Liu, Jianli, Wang, Jingjie, Yuen, Manwai

“…The compressible Euler–Poisson equations are the fundamental models in semiconductor physics and astrophysics. In this paper, by controlling the growth rate of…”
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Optimal System, Symmetry Reductions and Exact Solutions of the (2 + 1)-Dimensional Seventh-Order Caudrey–Dodd–Gibbon–KP Equation by Qin, Mengyao, Wang, Yunhu, Yuen, Manwai

“…In this paper, the (2+1)-dimensional seventh-order Caudrey–Dodd–Gibbon–KP equation is investigated through the Lie group method. The Lie algebra of…”
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Some special self-similar solutions for a model of inviscid liquid-gas two-phase flow by Dong, Jianwei, Yuen, Manwai

“…In this article, we are concerned with analytical solutions for a model of inviscid liquid-gas two-phase flow. On the basis of Yuen’s works [25, 27–29] on…”
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Liouville-Type Theorems for the Stationary Ideal Magnetohydrodynamics Equations in Rn by Cai, Lv, Lai, Ning-An, Suen, Anthony, Yuen, Manwai

“…In this paper, we establish Liouville-type theorems for the stationary ideal compressible magnetohydrodynamics system in R n with n ∈ { 1 , 2 , 3 } . We…”
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Formation of Singularity for Isentropic Irrotational Compressible Euler Equations by Liu, Jianli, Qin, Ziyi, Yuen, Manwai

“…The domain of science and engineering relies heavily on an in-depth comprehension of fluid dynamics, given the prevalence of fluids such as water, air, and…”
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Nonexistence of the compressible Euler equations with space-dependent damping in high dimensions by Geng, Jinbo, Hu, Ke, Lai, Ning-An, Yuen, Manwai

“…Compressible Euler equations with space-dependent damping in high dimensions are considered in this article. Assuming that the small initial velocity and small…”
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N-Dimensional Lattice Integrable Systems and Their bi-Hamiltonian Structure on the Time Scale Using the R-Matrix Approach by Fang, Yong, Sang, Xue, Yuen, Manwai, Zhang, Yong

“…A time scale is a special measure chain that can unify continuous and discrete spaces, enabling the construction of integrable equations. In this paper, with…”
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Cartesian vector solutions for $ N $-dimensional non-isentropic Euler equations with Coriolis force and linear damping by Liu, Xitong, Wen, Xiao Yong, Yuen, Manwai

“…In this paper, we construct and prove the existence of theoretical solutions to non-isentropic Euler equations with a time-dependent linear damping and…”
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Stabilities for Euler–Poisson equations in some special dimensions by Yuen, Manwai

“…We study the stabilities and classical solutions of Euler–Poisson equations describing the evolution of the gaseous star in astrophysics. In fact, we extend…”
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Blow-up for compressible Euler system with space-dependent damping in 1-D by Geng, Jinbo, Lai, Ning-An, Yuen, Manwai, Zhou, Jiang

“…This article considers the Cauchy problem for compressible Euler system in with damping, in which the coefficient depends on the space variable. Assuming the…”
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Exact solutions for the shallow water equations in two spatial dimensions: A model for finite amplitude rogue waves by Bai, Huiwen, Chow, Kwok Wing, Yuen, Manwai

“…Exact solutions for the shallow water equations in two spatial dimensions are obtained from a matrix formulation of the governing system. These fully nonlinear…”
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Blowup for regular solutions and $ C^{1} $ solutions of the two-phase model in $ \mathbb{R}^{N} $ with a free boundary by Wang, Jingjie, Wen, Xiaoyong, Yuen, Manwai

“…In this paper, under the assumption of an initial bounded region $ \Omega(0) $, we establish the blowup phenomenon of the regular solutions and $ C^{1} $…”
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Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations by Chen, Yang, Wang, Yunhu, Yuen, Manwai

“…In this paper, two families of exact solutions to two-dimensional incompressible rotational Euler equations are constructed by connecting the Euler equations…”
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A Relativistic Toda Lattice Hierarchy, Discrete Generalized (m,2N−m)-Fold Darboux Transformation and Diverse Exact Solutions by Qin, Meng-Li, Wen, Xiao-Yong, Yuen, Manwai

“…This paper investigates a relativistic Toda lattice system with an arbitrary parameter that is a very remarkable generalization of the usual Toda lattice…”
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