The Steepest Descent Minimization of Double-Well Stored Energies Does Not Yield Vectorial Microstructures

Kloucek, Petr2018-06-182018-06-182001-03Kloucek, Petr. "The Steepest Descent Minimization of Double-Well Stored Energies Does Not Yield Vectorial Microstructures." (2001) <a href="https://hdl.handle.net/1911/101967">https://hdl.handle.net/1911/101967</a>.https://hdl.handle.net/1911/101967We prove that the Steepest Descent algorithm applied to the minimization of total stored energies with rank-one related rotationally symmetric energy wells does not produce relaxing vectorial microstructures with non-trivial Young measures.30 ppengThe Steepest Descent Minimization of Double-Well Stored Energies Does Not Yield Vectorial MicrostructuresTechnical reportTR01-04