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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mathematics for web-like patterns of solitary in waves in shallow water
浅水波浪 孤单 网状模式
2023/4/13
I will give a review of the KP solitons based on Grassmannians. In the talk, I will also give several physical applications of KP solitons to shallow water wave phenomena, and discuss some initial val...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Worse than imagined: Unidentified virtual water flows in China
中国 不明身份 虚拟水流
2023/4/24
The impact of virtual water flows on regional water scarcity in China had been deeply discussed in previous research. However, these studies only focused on water quantity, the impact of virtual water...
Oil and water:a two-type internal aggregation model
Oil and water internal aggregation model
2015/8/14
We introduce a two-type internal DLA model which is an example of a non-unary abelian network. Starting with n “oil” and n “water” particles at the origin, the particles diffuse in Z according to the ...
GLOBAL SOLUTIONS FOR THE GRAVITY WATER WAVES SYSTEM IN 2D
GLOBAL SOLUTIONS THE GRAVITY WATER WAVES SYSTEM 2D
2014/4/3
We consider the gravity water waves system in the case of a one dimensional interface, for suf- ficiently smooth and localized initial data, and prove global existence of small solutions. This i...
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
2013/1/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
Existence of strong solutions in a larger space for the shallow-water system
the shallow-water system Analysis of PDEs
2011/9/5
Abstract: This paper is dedicated to the study of both viscous compressible barotropic fluids and Navier-Stokes equation with dependent density, when the viscosity coefficients are variable, in dimens...
Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch
Mixed flows in closed water pipes drying and flooding flows kinetic interpretation of conservation laws
2011/8/26
Abstract: We recall the \PFS} model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated as a fr...
Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon
Asymptotic models generation of internal waves
2011/3/1
This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More gen-
erally, we study the...
On the inconsistency of the Camassa-Holm model with the shallow water theory
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph) Fluid Dynamics (physics.flu-dyn)
2010/11/10
In our paper we show that the Camassa-Holm equation does not represent a long wave asymptotic due to a major inconsistency with the theory of shallow water waves. We state that any solution of the Cam...
Minimal-time bioremediation of natural water resources
Environmental engineering biotechnology waste treatment continuous systems
2010/12/13
We study minimal time strategies for the treatment of pollution of large volumes, such as lakes
or natural reservoirs, with the help of an autonomous bioreactor. The control consists in feeding the b...
Asymptotic linear stability of solitary water waves
Asymptotic linear stability solitary water waves
2010/11/29
We prove an asymptotic stability result for the water wave equations linearized around
small solitary waves. The equations we consider govern irrotational flow of a fluid with constant density bounde...
A Bourgain type bilinear estimate for a class of water-wave models
Bourgain type bilinear estimate a class of water-wave models
2010/12/10
A Bourgain type bilinear estimate for a class of water-wave models.
Reflection of an obliquely incident solitary wave onto a vertical wall is studied analytically and experimentally. We use the Kadomtsev-Petviashivili (KP) equation to analyze the evolution and its asy...
New Exact Solutions of a Generalized Shallow Water Wave Equation
Exact Solutions Generalized Shallow Water Wave Equation
2010/4/2
In this work an extended Jacobian elliptic function method is proposed and applied to the generalized shallow water wave equation. We systematically investigate to classify new exact travelling wave s...
Practical use of variational principles for modeling water waves
water waves approximate equations
2010/4/2
This paper describes a method for deriving approximate equations for water waves. The method is based on a `relaxed' variational principle, i.e., on a Lagrangian involving as many variables as possibl...