A condition implying the global existence of \(C^ 1\) solutions for a class of nonlinear transmission lines

DOI10.1016/0898-1221(87)90169-6zbMath0633.35048OpenAlexW2076501134MaRDI QIDQ1096085

Frederick Bloom

Publication date: 1987

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90169-6

zbMATH Keywords

existencequasilinearperiodic initial datadistributed parameterformation of shocksnonlinear transmission

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Electromagnetic theory (general) (78A25)

Related Items (4)

Existence and asymptotic behavior of smooth solutions for the nonlinear transmission line problem ⋮ Global existence of weak solutions to the nonlinear transmission line problem ⋮ Formation of shock discontinuities for a class of nonlinear transmission lines ⋮ Long time existence of solutions for \({\partial{} ^ 2 \over{} \partial{} T^ 2} u(x,t) + {\partial{} \over{} \partial{} T} \alpha{} (u(x,t)) = {\partial{} ^ 2 \over{} \partial{} X^ 2} \beta{} (u(x,t))\)

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