A regularized system for the nonlinear variational wave equation

Katrin Grunert () and Audun Reigstad ()
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Katrin Grunert: NTNU Norwegian University of Science and Technology
Audun Reigstad: NTNU Norwegian University of Science and Technology

Partial Differential Equations and Applications, 2023, vol. 4, issue 4, 1-71

Abstract: Abstract We present a new generalization of the nonlinear variational wave equation. We prove existence of local, smooth solutions for this system. As a limiting case, we recover the nonlinear variational wave equation.

Keywords: Nonlinear variational wave equation; Regularization; Conservative solutions; Primary 35L51; Secondary 35B35; 35B65 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s42985-023-00252-0

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