We prove the non existence of solitary wave solutions for an evolution equation related to a problem of microstructure formation. Moreover, we analyze in detail the ODEs system describing traveling waves and characterize bounded and unbounded solutions. Finally we construct an oscillating approximate solution and provide numerical simulations in order to illustrate the theoretical results.
Solitary waves for an equation related to a problem of microstructure formation / Colucci, Renato. - In: JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS. - ISSN 2296-9020. - STAMPA. - 4:1(2018), pp. 207-222. [10.1007/s41808-018-0016-3]
Solitary waves for an equation related to a problem of microstructure formation
Colucci, Renato
2018-01-01
Abstract
We prove the non existence of solitary wave solutions for an evolution equation related to a problem of microstructure formation. Moreover, we analyze in detail the ODEs system describing traveling waves and characterize bounded and unbounded solutions. Finally we construct an oscillating approximate solution and provide numerical simulations in order to illustrate the theoretical results.File in questo prodotto:
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