一个具非局部边界条件的多孔介质方程组解的全局存在和爆破
摘要
研究了一类具非局部边界条件的多孔介质方程组解的全局存在和爆破性质。借助比较原理,给出了该问题存在全局解和爆破解的充分条件,并且给出了当初值还满足一定条件时该问题解的爆破速率估计。
出处
《大庆师范学院学报》
2011年第6期25-30,共6页
Journal of Daqing Normal University
基金
国家自然科学基金资助项目(10371050
10771085)
黑龙江省自然科学基金资助项目(A200813)
参考文献20
-
1LEVIEN H A. The role of critical exponents in blow-up theorems[J]. SIAM Rev. ,1990,32(2) :262-288.
-
2DENGK,LEVIEN H A. The role of critical exponents in blow-up theorems:The sequel[J]. J. Math. Anal. Appl. ,2000,243( 1 ) :85-126.
-
3CARLSON D E. Linear thermoelasticity ,in Encyclopedia of Physics[ M]. Berlin: Springer Press,1972.
-
4DAY W A. Extensions of property of heat equation to linear thermoelasticity and other theories [ J ]. Quart. Appl. Math. , 1982,40 (3) :319-330.
-
5DAY W A. A decreasing property of solutions of parabolic equations with applications to thermoelasticity [ J ]. Quart. Appl. Math. , 1983,40 (4) : 468 -475.
-
6FRIEDMAN A. Monotonic decay of parabolic equations with nonlocal boundary conditions [ J ]. Quart. Appl. Math. , 1986,44 (3) :401-407.
-
7SEO S. Global existence and decreasing property of boundary values of solutions to parabolic equations with nonlocal boundary conditions [ J ]. Pacific J. Math. ,2000,193( 1 ) :219-226.
-
8DENGK. Comparison principle for some nonlocal problems [ J ]. Quart. Appl. Math. , 1992,50 ( 3 ) : 517-522.
-
9SEOS. Blowup of solutions to heat equations with nonlocal boundary conditions [ J ]. KobeJ. Math. , 1996,13 (2) :123-132.
-
10WANGYL, MUCL, XIANGZY. Blowup of solutions to a porous medium equation with nonlocal boundary condition [ J ]. Appl. Math. Gomput. 2007,192 (2) :579-585.
-
1刘丙辰,张长城.具有加权非局部边界条件的多孔介质方程组的临界指标问题(英文)[J].数学杂志,2015,35(1):51-62. 被引量:2
-
2宋小军.带有非线性边界流的多孔介质方程组整体存在和爆破(英文)[J].东莞理工学院学报,2010,17(5):9-13. 被引量:1
-
3李玉环,宋小军,穆春来.一类具有耦合边界项的多孔介质方程组的临界曲线(英文)[J].西南师范大学学报(自然科学版),2012,37(9):9-12.
-
4米永生,穆春来.一类具有耦合非线性边界流的多孔介质方程组解的整体存在性与爆破(英文)[J].四川师范大学学报(自然科学版),2011,34(4):458-465. 被引量:3
-
5齐颀,陈玉娟.一类非局部抛物型方程组解的爆破[J].南通大学学报(自然科学版),2015,14(2):71-84.