Geometric Analysis of Nonlinear Partial Differential Equations
Lychagin, Valentin
Geometric Analysis of Nonlinear Partial Differential Equations - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (204 p.)
Open Access
This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.
Creative Commons
English
books978-3-0365-1047-7 9783036510460 9783036510477
10.3390/books978-3-0365-1047-7 doi
Research & information: general
Mathematics & science
adjoint-symmetry one-form symmetry vector field geometrical formulation nonlocal conservation laws differential coverings polynomial and rational invariants syzygy free resolution discretization differential invariants invariant derivations symplectic contact spaces Euler equations shockwaves phase transitions symmetries integrable systems Darboux-Bäcklund transformation isothermic immersions Spin groups Clifford algebras Euler equation quotient equation contact symmetry optimal investment theory linearization exact solutions Korteweg–de Vries–Burgers equation cylindrical and spherical waves saw-tooth solutions periodic boundary conditions head shock wave Navier–Stokes equations media with inner structures plane molecules water Levi–Civita connections Lagrangian curve flows KdV type hierarchies Darboux transforms Sturm–Liouville clamped hinged boundary condition spectral collocation Chebfun chebop eigenpairs preconditioning drift error control
Geometric Analysis of Nonlinear Partial Differential Equations - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (204 p.)
Open Access
This book contains a collection of twelve papers that reflect the state of the art of nonlinear differential equations in modern geometrical theory. It comprises miscellaneous topics of the local and nonlocal geometry of differential equations and the applications of the corresponding methods in hydrodynamics, symplectic geometry, optimal investment theory, etc. The contents will be useful for all the readers whose professional interests are related to nonlinear PDEs and differential geometry, both in theoretical and applied aspects.
Creative Commons
English
books978-3-0365-1047-7 9783036510460 9783036510477
10.3390/books978-3-0365-1047-7 doi
Research & information: general
Mathematics & science
adjoint-symmetry one-form symmetry vector field geometrical formulation nonlocal conservation laws differential coverings polynomial and rational invariants syzygy free resolution discretization differential invariants invariant derivations symplectic contact spaces Euler equations shockwaves phase transitions symmetries integrable systems Darboux-Bäcklund transformation isothermic immersions Spin groups Clifford algebras Euler equation quotient equation contact symmetry optimal investment theory linearization exact solutions Korteweg–de Vries–Burgers equation cylindrical and spherical waves saw-tooth solutions periodic boundary conditions head shock wave Navier–Stokes equations media with inner structures plane molecules water Levi–Civita connections Lagrangian curve flows KdV type hierarchies Darboux transforms Sturm–Liouville clamped hinged boundary condition spectral collocation Chebfun chebop eigenpairs preconditioning drift error control