Theory of functional solutions to quasilinear systems of conservation laws and its applications

DOI10.1007/BF02366140zbMath0962.35142MaRDI QIDQ1585407

V. A. Galkin

Publication date: 13 November 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

wellposednessSmoluchowski equationsBoltzmann equationsglobal solvability of the Cauchy problemquasilinear and semilinear equationsspace-inhomogeneous media

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Cites Work

• Compensated Compactness and General Systems of Conservation Laws
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability
• Solutions in the large for nonlinear hyperbolic systems of equations
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• The partial differential equation u_t + uu_x = μ_xx
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