Burgers type equations, Gelfand's problem and Schumpeterian dynamics
From MaRDI portal
Publication:1941574
DOI10.1007/s11784-012-0089-9zbMath1270.35004OpenAlexW2031430479MaRDI QIDQ1941574
Publication date: 13 March 2013
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-012-0089-9
Hyperbolic conservation laws (35L65) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Semilinear parabolic equations (35K58) Boltzmann equations (35Q20)
Related Items
Cauchy-Gelfand problem and the inverse problem for a first-order quasilinear equation, Gennadi Markovich Henkin (obituary), Burgers type equations, Gelfand's problem and Schumpeterian dynamics, Cauchy-Gelfand problem for quasilinear conservation law
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity
- Schumpeterian dynamics as a non-linear wave theory
- The formation and decay of shocks for a conservation law in several dimensions
- Nonlinear stability of viscous shock waves
- Long-time behavior of scalar viscous shock fronts in two dimensions
- Zero-dissipation limit of solutions with shocks for systems of hyperbolic conservation laws
- 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
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- 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
- Time-asymptotic behaviour of a solution of the Cauchy initial-value problem for a conservation law with non-linear divergent viscosity
- Convergence in the form of a solution to the Cauchy problem for a quasilinear parabolic equation with a monotone initial condition to a system of waves
- On Hopf's formulas for solutions of Hamilton-Jacobi equations
- Large-Time Behavior of Solutions to a Scalar Conservation Law in Several Space Dimensions
- The large-scale structure of the Universe in the frame of the model equation of non-linear diffusion
- Admissible solutions of hyperbolic conservation laws
- One-Sided Difference Approximations for Nonlinear Conservation Laws
- On finite-difference approximations and entropy conditions for shocks
- Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
- Pointwise semigroup methods and stability of viscous shock waves
- Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
- ?1 stability of shock waves in scalar viscous conservation laws
- Nonlinear Stability of Semidiscrete Shock Waves
- Nonlinear stability of shock waves for viscous conservation laws
- Asymptotic behavior of multidimensional scalar viscous shock fronts
- Solutions in the large for nonlinear hyperbolic systems of equations
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
- On kinematic waves II. A theory of traffic flow on long crowded roads