郭柏靈論文集-第九卷

內(nèi)容概要

今年是恩師郭柏靈院士70壽辰，華南理工大學(xué)出版社決定出版《郭柏靈論文集》。郭老師的弟子，也就是我的師兄弟，推舉我為文集作序。這使我深感榮幸。我于l985年考入北京應(yīng)用物理與計(jì)算數(shù)學(xué)研究所，師從郭柏靈院士和周毓麟院士。研究生畢業(yè)后我留在研究所工作，繼續(xù)跟隨郭老師學(xué)習(xí)和研究偏微分方程理論。老師嚴(yán)謹(jǐn)?shù)闹螌W(xué)作風(fēng)和對(duì)后學(xué)的精心培養(yǎng)與殷切期望，給我留下了深刻的印象，同時(shí)老師在科研上的刻苦精神也一直深深地印在我的腦海中。

書(shū)籍目錄

2010
The Well-posedness of Stochastic Korteweg-de Vries Benjamin-Ono
Equation
Finite-time Blowup for Zakharov System with Combined Power-type
Nonlinearities
Solutions for the Fractional Landau-Lifshitz Equation
Global Weak Solution for a Equations in Plasma
Global Smooth Solutions for the One-dimensional Spin-polarized
Transport Equation
Regularity Criteria for the Navier-Stokes-Landau-Lifshitz
System
On the Primitive Equations of Large-scale Ocean with Random
Boundary
Martingale and Stationary Solutions for Stochastic Non-Newtonian
Fluids
Instability of Standing Waves for Hamiltonian Wave Equations
Existence of the Weak Solution of Coupled Time-dependent
Ginzburg-LandauEquations
Global Existence of Solutions to the Periodic Initial Value
Problems for Two-dimensional Newton-Boussinesq Equations
Global Existence and Blowup for the Cubic Nonlinear Klein-Gordon
Equationsin Three Space Dimensions
On the Existence and Uniqueness of Smooth Solution for a
Generalized ZakharovEquation
A Note on Vortex Solutions of Landau-Lifshitz Equation
Global Attractor for the Initial-boundary Value Problems for
Ginzburg-Landau Equations for Atomic Fermi gases near the BCS-BEC
Crossover
The Global Attractor of a Damped, Forced Hirota Equation in
H1
Global Weak Solutions To the 1-D Fractional Landau-Lifshitz
Equation ""Stability of the Standing Waves for a Class of
Coupled Nonlinear Klein-Gordon Equations
General Solutions to a Class of Time Fractional Partial
Differential Equations
Existence and Decay of Solutions to the Two-dimensional Fractional
Quasigeostrophic Equation
New Conservative Difference Schemes for a Coupled Nonlinear
Schr'ddinger System
Positons, Negatons and Complexitons of the mKdV Equation with
Non-uniformity Terms
……

編輯推薦

《郭柏靈論文集(第9卷)(精)》收集了郭柏靈院士在2010年中的主要研究成果，是關(guān)于非線(xiàn)性發(fā)展方程、無(wú)窮維動(dòng)力系統(tǒng)、數(shù)學(xué)物理、數(shù)值分析等方面的專(zhuān)著。文集中涉及的許多問(wèn)題的研究是郭柏靈先生得到了第一個(gè)結(jié)果，開(kāi)創(chuàng)了研究的先河，對(duì)國(guó)內(nèi)外同行的研究產(chǎn)生了深遠(yuǎn)的影響。該文集原創(chuàng)性強(qiáng)、學(xué)術(shù)價(jià)值大、社會(huì)影響力大。文集不僅系統(tǒng)地反映了他的科研成就，更重要的是對(duì)于從事這方面學(xué)習(xí)、研究的學(xué)者無(wú)疑大有裨益。

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