Concepedia

Solutions of Hamilton–Jacobi Equations and Scalar Conservation Laws with Discontinuous Space–Time Dependence

Daniel N. Ostrov

Journal of Differential Equations · 2002 · 41 citations · 16 references

Concepts

Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsMathematical PhysicsBoundary ConditionsContinuous Dynamical SystemsDissipative SystemsHamiltonian MechanicsHamiltonian SystemsPartial Differential EquationsConservation LawsDiscontinuous DynamicsHamilton - Jacobi - Bellman EquationsHamilton-jacobi EquationsHamilton-jacobi TheoryHamiltonian Partial Differential EquationsTransport Equations

References

16

<i>Linear and Nonlinear Waves</i>

G. B. Whitham, Richard Fowler · Physics Today · 1975 · 8.3K citations

Natural Sciences, Mathematics, Physics +17

Linear and Nonlinear Waves

K. J. Whiteman · Physics Bulletin · 1975 · 7.1K citations

Natural Sciences, Mathematics, Physics +12

Some properties of viscosity solutions of Hamilton-Jacobi equations

Michael G. Crandall, L. C. Evans, Pierre‐Louis Lions · Transactions of the American Mathematical Society · 1984 · 1.2K citations

Natural Sciences, Mathematics, Differential Equations +13

One-dimensional transport equations with discontinuous coefficients

François Bouchut, François James · Nonlinear Analysis · 1998 · 228 citations

Engineering, Mathematics, Differential Equations +13

Nonlinear Resonance in Systems of Conservation Laws

Eli L. Isaacson, Blake Temple · SIAM Journal on Applied Mathematics · 1992 · 173 citations

Natural Sciences, Mathematics, Physics +17