Cauchy-Gelfand problem for quasilinear conservation law
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Publication:744069
DOI10.1016/j.bulsci.2014.01.001zbMath1302.35252OpenAlexW2028780953MaRDI QIDQ744069
Alexander A. Shananin, Gennadi M. Henkin
Publication date: 6 October 2014
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2014.01.001
vanishing viscosity methoddifference-differential equationsreconstruction of initial dataRiemann-Burgers type equations
Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) Partial functional-differential equations (35R10) Hyperbolic conservation laws (35L65) Boltzmann equations (35Q20)
Related Items
On the Cauchy-Gelfand problem ⋮ Cauchy-Gelfand problem and the inverse problem for a first-order quasilinear equation ⋮ Gennadi Markovich Henkin (obituary)
Cites Work
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- Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity
- Schumpeterian dynamics as a non-linear wave theory
- A difference-differential analogue of the Burgers equation: Stability of the two-wave behavior
- A difference-differential analogue of the Burgers equation and some models of economic development
- Asymptotic behavior of solutions of the Cauchy problem for Burgers type equations
- Burgers type equations, Gelfand's problem and Schumpeterian dynamics
- Asymptotic structure for solutions of the Cauchy problem for Burgers type equations
- Estimates for solutions of Burgers type equations and some applications
- Hyperbolic systems of conservation laws II
- Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
- Time-asymptotic behaviour of a solution of the Cauchy initial-value problem for a conservation law with non-linear divergent viscosity
- On Hopf's formulas for solutions of Hamilton-Jacobi equations
- Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations
- Admissible solutions of hyperbolic conservation laws
- The asymptotic behaviour of the solution to the Cauchy problem for a quasilinear first-order equation with a non-convex state function
- Some problems in the theory of quasilinear equations
- Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
- The partial differential equation ut + uux = μxx
