Asymptotic conservation law with Feynman boundary condition
نویسندگان
چکیده
منابع مشابه
Boundary streaming with Navier boundary condition.
In microfluidic applications involving high-frequency acoustic waves over a solid boundary, the Stokes boundary-layer thickness δ is so small that some non-negligible slip may occur at the fluid-solid interface. This paper assesses the impact of this slip by revisiting the classical problem of steady acoustic streaming over a flat boundary, replacing the no-slip boundary condition with the Navi...
متن کاملAsymptotic expansion of Feynman integrals near threshold
We present general prescriptions for the asymptotic expansion of massive multiloop Feynman integrals near threshold. As in the case of previously known prescriptions for various limits of momenta and masses, the terms of the threshold expansion are associated with subgraphs of a given graph and are explicitly written through Taylor expansions of the corresponding integrands in certain sets of p...
متن کاملAsymptotic behaviour of solutions of quasilinear parabolic equation with Robin boundary condition
In this paper we study solutions of the quasi-linear parabolic equations ∂u/∂t −∆pu = a(x)|u|q−1u in (0, T ) × Ω with Robin boundary condition ∂u/∂ν|∇u|p−2 = b(x)|u|r−1u in (0, T ) × ∂Ω where Ω is a regular bounded domain in IRN , N ≥ 3, q > 1, r > 1 and p ≥ 2. Some sufficient conditions on a and b are obtained for those solutions to be bounded or blowing up at a finite time. Next we give the a...
متن کاملPergamon Asymptotic Behavior of Energy Solutions to a Two-dimensional Semilinear Problem with Mixed Boundary Condition
where: • f~ is a C °'1 and bounded domain in Rz; • 0f~ consists of two pieces F0 and F1, where the one-dimensional Hausdorff measure of F o is greater than 0; • F0 is smooth and F1 is piecewise smooth; • F0 and 1"1 are relatively closed in 0f~; • v is the unit outer normal of f~; • p is a large parameter. In this work, we shall only consider the least energy solutions, although the method can b...
متن کاملAsymptotic behavior of solutions to wave equations with a memory condition at the boundary ∗
In this paper, we study the stability of solutions for wave equations whose boundary condition includes a integral that represents the memory effect. We show that the dissipation is strong enough to produce exponential decay of the solution, provided the relaxation function also decays exponentially. When the relaxation function decays polynomially, we show that the solution decays polynomially...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2021
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.103.125026