zbMATH — the first resource for mathematics

Source-type solutions for equations of nonstationary filtration. (English) Zbl 0387.76083

76S05 Flows in porous media; filtration; seepage
35K55 Nonlinear parabolic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
Full Text: DOI
[1] Barenblatt, G.I, On some unsteady motions of a liquid and a gas in a porous medium, Prikl. mat. mekh., 16, 67-78, (1952), (Russian) · Zbl 0049.41902
[2] Kalashnikov, A.S, The Cauchy problem in a class of growing functions for equations of unsteady filtration type, Vestnik moskov. univ. ser. VI mat. mech., 6, 17-27, (1963), (Russian) · Zbl 0158.11502
[3] Kamenomostskaya, S, The asymptotic behaviour of the solution of the filtration equation, Israel J. math., 14, 76-87, (1973) · Zbl 0254.35054
[4] Kamin (Kamenomostskaya), S, Some estimates for solutions of the Cauchy problem for equations of a nonstationary filtration, J. differential equations, 20, 321-335, (1976) · Zbl 0318.35048
[5] Kamin (Kamenomostskaya), S, Similar solutions and the asymptotics of filtration equations, Arch. rational mech. anal., 60, 171-183, (1976) · Zbl 0336.76036
[6] Oleinik, O.A; Kalashnikov, A.S; Chzhou, Y.-L, The Cauchy problem and boundary problems for equations of the type of nonstationary filtration, Izv. akad. nauk SSSR ser. mat., 22, 667-704, (1958) · Zbl 0093.10302
[7] Sobolev, S.L, Applications of functional analysis in math. physics, Amer. math. soc. transl., 7, (1963) · Zbl 0123.09003
[8] Zel’dovich, I.B; Kompaneez, A.S, On the theory of heat propagation with heat conduction depending on temperature, (), (Russian)
[9] Zeldovich, Ya.B; Raizer, Yu.P, ()
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.