AbstractWe solve the Riemann and Cauchy problems globally for a singular system of n hyperbolic conservation laws. The system, which arises in the study of oil reservoir simulation, has only two wave speeds, and these coincide on a surface of codimension one in state space. The analysis uses the random choice method of Glimm (Comm. Pure Appl. Math.18 (1965), 697–715)
AbstractThis paper contains a proof of the existence and uniqueness of solutions to the Riemann prob...
A system arising in the modeling of oil-recovery processes is analyzed. It consists of a hyperbolic ...
Existence and admissibility of delta-shock solutions is discussed for hyperbolic systems of conserva...
AbstractWe solve the Riemann and Cauchy problems globally for a singular system of n hyperbolic cons...
We prove the existence of a global weak solution to the Cauchy problem for a class of 2 × 2 equation...
AbstractWe determine the structure of the nonlinear waves to which solutions of a nonstrictly hyperb...
A random choice method for solving nonlinear hyperbolic systems of conservation laws is presented. T...
AbstractThe Riemann problem is solved for 2 × 2 systems of non-strictly hyperbolic conservation laws...
AbstractWe construct a generalized solution of the Riemann problem for strictly hyperbolic systems o...
AbstractThis paper is the third in a series that undertakes a systematic investigation of Riemann so...
We discuss smooth solutions for a class of quasilinear non-strictly hyperbolic 2 x 2 systems in two ...
A system arising in the modeling of oil--recovery processes is analyzed. It consists of a hyperbolic...
AbstractThe main structure underlying the nonlinearity of conservation laws of gasdynamical type in ...
AbstractGlobal existence of a 2 × 2 system of nonstrictly hyperbolic conservation laws is establishe...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46180/1/205_2004_Article_BF00247508.pd
AbstractThis paper contains a proof of the existence and uniqueness of solutions to the Riemann prob...
A system arising in the modeling of oil-recovery processes is analyzed. It consists of a hyperbolic ...
Existence and admissibility of delta-shock solutions is discussed for hyperbolic systems of conserva...
AbstractWe solve the Riemann and Cauchy problems globally for a singular system of n hyperbolic cons...
We prove the existence of a global weak solution to the Cauchy problem for a class of 2 × 2 equation...
AbstractWe determine the structure of the nonlinear waves to which solutions of a nonstrictly hyperb...
A random choice method for solving nonlinear hyperbolic systems of conservation laws is presented. T...
AbstractThe Riemann problem is solved for 2 × 2 systems of non-strictly hyperbolic conservation laws...
AbstractWe construct a generalized solution of the Riemann problem for strictly hyperbolic systems o...
AbstractThis paper is the third in a series that undertakes a systematic investigation of Riemann so...
We discuss smooth solutions for a class of quasilinear non-strictly hyperbolic 2 x 2 systems in two ...
A system arising in the modeling of oil--recovery processes is analyzed. It consists of a hyperbolic...
AbstractThe main structure underlying the nonlinearity of conservation laws of gasdynamical type in ...
AbstractGlobal existence of a 2 × 2 system of nonstrictly hyperbolic conservation laws is establishe...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46180/1/205_2004_Article_BF00247508.pd
AbstractThis paper contains a proof of the existence and uniqueness of solutions to the Riemann prob...
A system arising in the modeling of oil-recovery processes is analyzed. It consists of a hyperbolic ...
Existence and admissibility of delta-shock solutions is discussed for hyperbolic systems of conserva...
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