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Disruptive means that the new technological solution would disrupt existing but weaker solutions.
Weaker solutions (lower percentages) will not be as effective, while stronger ones could damage your carpet.
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(Boundedness of weak solutions).
Then (6.1) has extremal weak solutions in.
Global existence of weak solutions is proved.
The uniqueness isobtained for weak solutions.
Then (1.1) possesses infinitely many weak solutions.
We consider weak solutions of initial problems.
Theorem 2.1 (Stability of weak solutions).
Step 3. Existence of weak solutions.
For weak solutions, Rojas-Medar and Boldrini [5] proved the existence of weak solutions, and in the 2D case, also proved the uniqueness of the weak solutions.
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