劉長春

吉林大學教授

劉長春,吉林大學教授。吉林省鎮賚縣人,現任職于吉林大學應用數學系,博士生導師,發表多篇論文。

學習經歷


1990.09―1994.06 吉林大學數學系 本科生
1994.09―1997.06 吉林大學數學所 碩士研究生
1997.09―2001.06 吉林大學數學所 博士研究生

學術任職


1997.07—1999.09 吉林大學數學學院 助教
1999.10—2004.12 吉林大學數學學院 講師
2002.09—2004.06 南京師範大學數學系 博士后
2004.12—2008.09 吉林大學數學學院 副教授
2008.10—2009.10 日本東北大學 訪問學者
2008.09— 吉林大學數學學院 教授
2009.01— 吉林大學數學學院 博士生導師

科研情況


科研項目

1)《一類非線性擴散方程》,自然科學基金天元青年基金(10526022),3萬,2006.01-2006.12,負責人;
2)《粘性Cahn-Hilliard方程》,吉林大學青年基金,2萬,2002.01-2003.12,負責人;
3) 《具奇異性的非線性擴散方程》,教育部博士點基金,5萬,2004-2006,第3參加者;

學術論文

Yin Jingxue and Liu Changchun, Regularity of solutions of the Cahn-Hilliard equation with concentration dependent mobility, Nonlinear Analysis, TMA, 45(5)(2001), 543-554.
Liu Changchun, Weak solutions for a viscous p-Laplacian equation, Electronic Journal of Differential Equations, (63) (2003),1-11.
Gao Hongjun and Liu Changchun, Instability of traveling waves of the convective-diffusive Cahn-Hilliard equation, Chaos, Solitons and Fractals, 20(2)(2004), 253-258.
Liu Changchun, Yin Jingxue and Gao Hongjun, A generalized thin film equation, Chin. Ann. Math., 25 B(3)(2004), 347-358.
Liu Changchun, Qi Yuanwei and Yin Jingxue, Regularity of solutions of the Cahn-Hilliard equation with non-constant mobility, Acta Mathematica Sinica, English Series, 22(4)(2006), 1139-1150.
Liu Changchun, Regularity of solutions for a fourth order parabolic equation, Bulletin of the Belgian Mathematical Society - Simon Stevin, 13(3)(2006), 527-535.
Liu Changchun, Yin Jingxue and Zhou Juan, Existence of weak solutions for a generalized
thin film equation, Communications on Pure and Applied Analysis, 6(2)(2007), 465-480.
Liu Changchun, A fourth order parabolic equation in two space dimensions, Mathematical Methods in the Applied Sciences, 30(15)(2007), 1913-1930.
Liu Changchun, A fourth order parabolic equation with nonlinear principal part, Nonlinear Analysis, TMA.68(2)(2008), 393-401
Liu Changchun, A fourth order nonlinear degenerate parabolic equation, Communications on Pure and Applied Analysis, 7(3)(2008), 617-630.
Liu Changchun, On the Convective Cahn-Hilliard equation with degenerate mobility, Journal of Mathematical Analysis and Applications, 344(1)(2008), 124-144.
Liu Changchun, Weak solutions for a class of metaparabolic equations, Applicable Analysis, 87(8)(2008), 887-900.
Liu Changchun, Zhou Juan and Yin Jingxue, A note on large time behaviour of solutions for viscous Cahn-Hilliard equation, Acta Mathematica Scientia, 29(5)(2009), 1216-1224.
Lian Songzhe and Liu Changchun, On the existence and nonexistence of global solutions for the porous medium equation with strongly nonlinear sources in a cone, Archiv der Mathematik, 94(3)(2010), 245-253.
Liu Changchun, A sixth order degenerate equation with the higher order p-Laplacian operator, Mathematica Slovaca,60(6)(2010),847-864.
Liu Changchun, Qualitative properties for a sixth-order thin film equation, Mathematical Modelling and Analysis, 15(4)(2010), 457-471.
Liu Changchun and Tian Yumei, Weak solutions for a sixth-order thin film equation, Rocky Mountain Journal of Mathematics,41(5)(2011),1547-1565.
Liu Changchun, Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone, Monatshefte für Mathematik, 165(2)(2012), 237-249.