Recent progress in velocity averaging
Recent progress in velocity averaging
A classical result in kinetic theory establishes that if f(x,v) and v·∇ x f(x,v) both belong to L 2 ℝ x n ×ℝ v n , then ∫ K fdv∈H 1 2 ℝ x n , for any compact set K⊂ℝ v n . Such regularity statements are known as …