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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Low regularity conservation laws for the fifth-order modified KdV equations in Besov spaces
Besov空间 五阶修正KdV方程 低正则性 守恒定律
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2023/4/19
We get a priori estimates for the fifth-order modified KdV equations in Besov spaces with low regularity which cover the full subcritical range. These estimates are obtained from the power series expa...
The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
Two-Component Camassa-Holm Equations CH(2,1) CH(2,2) First-Order Integrating Factors Conservation Laws Exactly Solvable and Integrable Systems
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2012/4/26
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: g...
Global classical solutions for partially dissipative hyperbolic system of balance laws
balance laws entropy dissipative classical solutions Chemin-Lerner’s spaces
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2012/2/29
This work is concerned with ($N$-component) hyperbolic system of balance laws in arbitrary space dimensions. Under entropy dissipative assumption and the Shizuta-Kawashima algebraic condition, a gener...
An extension of the modified Sawada-Kotera equation and conservation laws
fundamental mathematics spectralproblem integrable nonlinear evolution equations conservationlaws
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2011/10/15
Based onthe modified Sawada-Kotera equation, we introduce a 3×3 matrix spectral problem with two potentials and derive a hierarchyof new nonlinear evolution equations. The second member in thehierarch...
Scaling laws prediction from a solvable model of turbulent thermal convection
Scaling laws solvable model turbulent thermal convection
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2011/7/7
A solvable turbulent model is used to predict both the structure of the boundary layer and the scaling laws in thermal convection. The transport of heat depends on the interplay between the thermal, v...
Selfdecomposable Laws Associated with Hyperbolic Functins
Hyperbolic characteristic functions class L or SD probability distribution
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2010/12/8
t is shown that the hyperbolic functions can be associated with selfdecomposable distributions (in short: SD probability distributions or L´evy class L probability laws). Consequently, they admi...
HIGH RESOLUTION SCHEMES FOR CONSERVATION LAWS AND CONVECTION-DIFFUSION EQUATIONS WITH VARYING TIME AND SPACE GRIDS
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2007/12/12
This paper presents a class of high resolution local time step
schemes for nonlinear hyperbolic conservation laws and the closely
related convection--diffusion equations, by projecting the
solution...