Continuous approximations of Gol'dshtik's model

DOI10.1134/S000143461001030XzbMath1198.35199MaRDI QIDQ1957039

D. K. Potapov

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorboundary-value problemseparated flowcontinuous approximationdiscontinuous nonlinearitynonlinear elliptic differential equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (14)

Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities ⋮ Elenbaas problem of electric arc discharge ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence of three nontrivial solutions of an elliptic boundary-value problem with discontinuous nonlinearity in the case of strong resonance ⋮ A global result for a degenerate quasilinear eigenvalue problem with discontinuous nonlinearities ⋮ On a class of elliptic variational inequalities with a spectral parameter and discontinuous nonlinearity ⋮ Approximation to the Sturm-Liouville problem with a discontinuous nonlinearity ⋮ On the number of semiregular solutions in problems with spectral parameter for higher-order equations of elliptic type with discontinuous nonlinearities ⋮ On one problem of electrophysics with discontinuous nonlinearity ⋮ Optimal control of higher order elliptic distributed systems with a spectral parameter and discontinuous nonlinearity ⋮ Properties of the spectrum of an elliptic boundary value problem with a parameter and a discontinuous nonlinearity ⋮ Bifurcation problems for equations of elliptic type with discontinuous nonlinearities ⋮ Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity

Cites Work

• Approximation of boundary value problems of elliptic type with a spectral parameter and discontinuous nonlinearity
• On an upper bound for the value of the bifurcation parameter in eigenvalue problems for elliptic equations with discontinuous nonlinearities
• Approximation to the Dirichlet problem for a higher-order elliptic equation with a spectral parameter and a discontinuous nonlinearity
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Continuous approximations of Gol'dshtik's model