Viscosity solutions for junctions: well posedness and stability
نویسندگان
چکیده
منابع مشابه
Well–Posedness of a Model for Water Waves with Viscosity
The water wave equations of ideal free–surface fluid mechanics are a fundamental model of open ocean movements with a surprisingly subtle well–posedness theory. In consequence of both theoretical and computational difficulties with the full water wave equations, various asymptotic approximations have been proposed, analysed and used in practical situations. In this essay, we establish the well–...
متن کاملOn the Well Posedness of Vanishing Viscosity Limits
and a basis of eigenvectors r1(u), . . . , rn(u) with unit length. Due to the nonlinearity of the equations, even for smooth initial data it is well known that the solution can lose regularity within finite time. Therefore, to obtain global existence of solutions, one has to work in a space of discontinuous functions and interpret the equation (1.1) in some relaxed sense. In the conservative ca...
متن کاملWell-posedness, Stability and Conservation for a Discontinuous Interface Problem
The advection equation is studied in a completely general two domain setting with different wave-speeds and a time-independent jump-condition at the interface separating the domains. Well-posedness and conservation criteria are derived for the initial-boundary-value problem. The equations are semidiscretized using a finite difference method on summation-by-parts (SBP) form. The stability and co...
متن کاملRational representations of behaviors : well - posedness , stability and stabilizability
This paper presents an analysis of representation and stability properties of dynamical systems whose signals are assumed to be square summable sequences. Systems are understood as families of trajectories with no more structure than linearity and shift-invariance. We depart from the usual input-output and operator theoretic setting and view relationships among system variables as a more genera...
متن کاملWell-posedness and Stability of Exact Non-reflecting Boundary Conditions
Exact non-reflecting boundary conditions for an incompletely parabolic system have been studied. It is shown that well-posedness is a fundamental property of the non-reflecting boundary conditions. By using summation by parts operators for the numerical approximation and a weak boundary implementation, energy stability follows automatically. The stability in combination with the high order accu...
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: Rendiconti Lincei - Matematica e Applicazioni
سال: 2016
ISSN: 1120-6330
DOI: 10.4171/rlm/747