Numerical conservative solutions of the hunter-saxton equation

HIGHLIGHTS

  • who: Katrin Grunert from the Department of Mathematical Sciences, Norwegian University of Science and Technology have published the research: Numerical conservative solutions of the Hunter-Saxton equation, in the Journal: (JOURNAL)
  • what: The main reason being the following: Solutions of_(1.1) may experience wave breaking in finite time, i.e., u x → -∞ pointwise while the energy u x (t, ·) 2 remains uniformly bounded and the solution u stays continuous. From now on the authors focus on weak solutions that preserve the energy, that is conservative solutions. After establishing some a priori bounds of the . . .

     

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