Results 71 to 80 of about 2,352 (109)

Classical solution for compressible Navier-Stokes-Korteweg equations with zero sound speed

Advances in Nonlinear Analysis
We consider the compressible Navier-Stokes-Korteweg equations describing the dynamics of a liquid-vapor mixture with diffuse interphase in Rd{{\mathbb{R}}}^{d} with d≥3d\ge 3 when the initial perturbation is suitably small.
Liu Mengqian, Wu Zhigang
doaj   +1 more source

The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Results in Physics, 2021
In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
doaj  

Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem. [PDF]

J Math Fluid Mech, 2021
Martin CI.
europepmc   +1 more source

On the Cauchy problem for a model equation for shallow water waves of moderate amplitude [PDF]

arXiv, 2013
We prove the local well-posedness for a nonlinear equation modeling the evolution of the free surface for waves of moderate amplitude in the shallow water regime.
arxiv  

On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws. [PDF]

Int J Appl Comput Math, 2022
Kalisch H, Mitrovic D.
europepmc   +1 more source

Local-in-time well-posedness for 2D compressible magneto-micropolar boundary layer in Sobolev spaces [PDF]

arXiv
In this paper, we study the two-dimensional compressible magneto-micropolar boundary layer equations on the half-plane, which are derived from 2D compressible magneto-micropolar fluid equations with the non-slip boundary condition on velocity, Dirichlet boundary condition on micro-rotational velocity and perfectly conducting boundary condition on ...
arxiv  

On the temporal decay for the Hall-magnetohydrodynamic equations [PDF]

arXiv, 2013
We establish temporal decay estimates for weak solutions to the Hall-magnetohydrodynamic equations. With these estimates in hand we obtain algebraic time decay for higher order Sobolev norms of small initial data solutions.
arxiv  

Global regularity for systems with p-structure depending on the symmetric gradient

Advances in Nonlinear Analysis, 2018
In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having p-structure depending only on the symmetric part of the gradient.
Berselli Luigi C., Růžička Michael
doaj   +1 more source

An alternative approach to study irrotational periodic gravity water waves. [PDF]

Z Angew Math Phys, 2021
Basu B, Martin CI.
europepmc   +1 more source

Moving-Frame Approach to Nonlinear Internal Waves in Oceans [PDF]

arXiv, 2013
In this article, we introduce a moving-frame approach to the geophysical equation of two-dimensional uniformly stratified rotational fluid in oceans and find a family of exact solutions containing ten arbitrary parameter functions.
arxiv