Weak solutions to joined nonlinear systems of PDEs
Copyright policy )Weak solutions to joined nonlinear systems of PDEs
We establish an existence and uniqueness result for a system which consists of a finite number of coupled nonlinear systems. In each system we have two highly nonlinearly coupled equations. Such problems arise if one couples thin rods of shape memory alloys, and each of the rods is described by Falk's Landau-Ginzburg model. The two equations stand for the momentum and energy balance, respectively.
Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol. 482
ddc:510, modelling shape memory alloy actuators, PDEs with low regular coefficients and/or low regular data, article, Phase transformations in solids, existence, uniqueness, shape memory alloys, Other PDE from mechanics, Existence of generalized solutions of PDE, Systems of nonlinear PDEs with discontinuous coefficients, Systems of nonlinear PDEs with discontinuous coefficients -- modelling shape memory alloy actuators, 510, martensic phase transitions, Landau-Ginzburg model
ddc:510, modelling shape memory alloy actuators, PDEs with low regular coefficients and/or low regular data, article, Phase transformations in solids, existence, uniqueness, shape memory alloys, Other PDE from mechanics, Existence of generalized solutions of PDE, Systems of nonlinear PDEs with discontinuous coefficients, Systems of nonlinear PDEs with discontinuous coefficients -- modelling shape memory alloy actuators, 510, martensic phase transitions, Landau-Ginzburg model
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