Vaibhav Kukreja's research while affiliated with Naval Postgraduate School and other places
What is this page?
This page lists the scientific contributions of an author, who either does not have a ResearchGate profile, or has not yet added these contributions to their profile.
It was automatically created by ResearchGate to create a record of this author's body of work. We create such pages to advance our goal of creating and maintaining the most comprehensive scientific repository possible. In doing so, we process publicly available (personal) data relating to the author as a member of the scientific community.
If you're a ResearchGate member, you can follow this page to keep up with this author's work.
If you are this author, and you don't want us to display this page anymore, please let us know.
It was automatically created by ResearchGate to create a record of this author's body of work. We create such pages to advance our goal of creating and maintaining the most comprehensive scientific repository possible. In doing so, we process publicly available (personal) data relating to the author as a member of the scientific community.
If you're a ResearchGate member, you can follow this page to keep up with this author's work.
If you are this author, and you don't want us to display this page anymore, please let us know.
Publications (5)
There are a wide range of applications involving laser propagation through a scattering medium. Very often, a measurement of the scattered light will be taken with the intent of learning some information about the medium. On the contrary, the present work seeks to extract a description of the source of light and its location. A phenomenological mod...
For steady supersonic flow past a solid convex corner surrounded by quiescent gas, if the pressure of the upcoming supersonic flow is lower than the pressure of the quiescent gas, there may appear a strong shock to increase the pressure and then a transonic characteristic discontinuity to separate the supersonic flow behind the shock-front from the...
In our previous work, we have established the existence of transonic
characteristic discontinuities separating supersonic flows from a static gas in
two-dimensional steady compressible Euler flows under a perturbation with small
total variation of the incoming supersonic flow over a solid right-wedge. It is
a free boundary problem in Eulerian coord...
For a two-dimensional steady supersonic Euler flow past a convex cornered
wall with right angle, a characteristic discontinuity (vortex sheet and/or
entropy wave) is generated, which separates the supersonic flow from the gas at
rest (hence subsonic). We proved that such a transonic characteristic
discontinuity is structurally stable under small pe...
We establish the well-posedness of compressible vortex sheets and entropy
waves in two-dimensional steady supersonic Euler flows over Lipschitz walls
under a $BV$ boundary perturbation. In particular, when the total variation of
the incoming flow perturbation around the background strong vortex
sheet/entropy wave is small, we prove that the two-dim...
Citations
... Recently, the well-posedness theory for the steady supersonic compressible Euler flows through a 2D finitely long nozzle with a contact discontinuity was established in [36]. For other related problems on the steady supersonic contact discontinuity over a wedge with a sharp convex corner, we refer the reader to [14,29,37,[42][43][44][45]48]. The contact discontinuity in the Mach reflections was also studied in [19][20][21]. ...
![[object Object]](https://i1.rgstatic.net/ii/profile.image/272334145716228-1441940928122_Q64/Hairong-Yuan-3.jpg)
... For the transonic flow, the stability of flat contact discontinuity in finitely long nozzles was established in [12]. The stability of two-dimensional transonic contact discontinuity over a solid wedge and three-dimensional transonic contact discontinuity were established in [6,7] and [14]. ...
![[object Object]](https://i1.rgstatic.net/ii/profile.image/272702002954242-1442028632165_Q64/Gui-Qiang-Chen.jpg)
... For the transonic flow, the stability of flat contact discontinuity in finitely long nozzles was established in [12]. The stability of two-dimensional transonic contact discontinuity over a solid wedge and three-dimensional transonic contact discontinuity were established in [6,7] and [14]. ...
... For related cases, when the flows on both sides of the characteristic discontinuity are supersonic, it has been shown to be structurally stable by Chen-Zhang-Zhu [3] in the framework of weak entropy solutions, and the L 1 -stability also holds as established by Chen-Kukreja [5]; when the flow is in an infinite duct and on both sides of the characteristic discontinuity the flows are subsonic, Bae [1] proved that it is stable under small perturbations of the walls of the duct. Characteristic discontinuities appear ubiquitously in Mach reflection and refraction/reflection of shock upon an interface. ...
