Ⅰ. INTRODUCTIONWhittaker first studied the relation between the first integral and integral invariant, and proved that an integral invariant can be determined by a given first integral. Recently, Mei Fengxiang furthe...Ⅰ. INTRODUCTIONWhittaker first studied the relation between the first integral and integral invariant, and proved that an integral invariant can be determined by a given first integral. Recently, Mei Fengxiang further extended this result into the nonholonomic dynamical systems. In view展开更多
This paper deals with the quenching behavior of positive solutions to the Newton filtration equations coupled with boundary singularities.We determine quenching rates for non-simultaneous quenching at first,and then e...This paper deals with the quenching behavior of positive solutions to the Newton filtration equations coupled with boundary singularities.We determine quenching rates for non-simultaneous quenching at first,and then establish the criteria to identify the simultaneous and non-simultaneous quenching in terms of the parameters involved.展开更多
文摘Ⅰ. INTRODUCTIONWhittaker first studied the relation between the first integral and integral invariant, and proved that an integral invariant can be determined by a given first integral. Recently, Mei Fengxiang further extended this result into the nonholonomic dynamical systems. In view
基金Supported by the National Natural Science Foundation of China(10771024,11101060,11171048)
文摘This paper deals with the quenching behavior of positive solutions to the Newton filtration equations coupled with boundary singularities.We determine quenching rates for non-simultaneous quenching at first,and then establish the criteria to identify the simultaneous and non-simultaneous quenching in terms of the parameters involved.