On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory
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Publication:871750
DOI10.1134/S106192080601002XzbMath1223.35224MaRDI QIDQ871750
Yu. G. Rykov, Alexander I. Aptekarev
Publication date: 26 March 2007
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Related Items (8)
Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics ⋮ Systems of quasilinear conservation laws and algorithmization of variational principles ⋮ Variational principle for multidimensional conservation laws and pressureless media ⋮ Dynamics of supports of extremal measures in the field of a point charge ⋮ Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients ⋮ Direct and inverse problems for vector logarithmic potentials with external fields ⋮ Phase transitions and equilibrium measures in random matrix models ⋮ On the variational approach to systems of quasilinear conservation laws
Cites Work
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- Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
- Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice
- Hyperbolic systems of conservation laws II
- EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
- A continuum limit of the Toda lattice
- Families of equilibrium measures in an external field on the real axis
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