Zobrazeno 1 - 10
of 43
pro vyhledávání: '"TSIKKOU, CHARIS"'
Autor:
Funk, Davis, Tsikkou, Charis
This paper presents a solution to an initial value problem for the 1-dimensional wave equation on time scales through the application of a Fourier transform and its inverse via contour integrals. The time scale of the spatial dimension is set to the
Externí odkaz:
http://arxiv.org/abs/2409.16424
Autor:
Frew, Jack, Keyser, Nigel, Kim, Ethan, Paddock, Griffin, Toumbleston, Camden, Wilson, Sara, Tsikkou, Charis
We consider a system of two balance laws of Keyfitz-Kranzer type with varying generalized Chaplygin gas, which exhibits negative pressure and is a product of a function of time and the inverse of a power of the density. The Chaplygin gas is a fluid d
Externí odkaz:
http://arxiv.org/abs/2407.20869
Publikováno v:
Physics of Fluids 35, 016117 (2023)
Guderley's 1942 work on radial shock waves provides cases of self-similar Euler flows exhibiting blowup of primary (undifferentiated) flow variables: a converging shock wave invades a quiescent region, and the velocity and pressure in its immediate w
Externí odkaz:
http://arxiv.org/abs/2211.04309
Publikováno v:
Physica D. Nonlinear Phenomena 410, 132511 (2020)
We show that the multi-dimensional compressible Euler system for isothermal flow of an ideal, polytropic gas admits global-in-time, radially symmetric solutions with unbounded amplitudes due to wave focusing. The examples are similarity solutions and
Externí odkaz:
http://arxiv.org/abs/1904.06537
Publikováno v:
Journal of Mathematical Physics 59, 121507 (2018)
Radial similarity flow offers a rare instance where concrete inviscid, multi-dimensional, compressible flows can be studied in detail. In particular, there are flows of this type that exhibit imploding shocks and cavities. In such flows the primary f
Externí odkaz:
http://arxiv.org/abs/1806.00918
Autor:
Kim, Eun Heui, Tsikkou, Charis
Publikováno v:
Discrete and Continuous Dynamical Systems, volume 37, issue 12, year 2017, pages 6257-6289
We analyze rarefaction wave interactions of self-similar transonic irrotational flow in gas dynamics for the two dimensional Riemann problems. We establish the existence result of the supersonic solution to the prototype nonlinear wave system for the
Externí odkaz:
http://arxiv.org/abs/1612.04400
Publikováno v:
Electronic Journal of Differential Equations, volume 2016, issue 266, year 2016, pages 1-16
Consider the Cauchy problem for the 3-d linear wave equation $\square_{1+3}U=0$ with radial initial data $U(0,x)=\Phi(x)=\phi(|x|)$, $U_t(0,x)=\Psi(x)=\psi(|x|)$. A standard result gives that $U$ belongs to $C([0,T];H^s(\mathbb{R}^3))$ whenever $(\Ph
Externí odkaz:
http://arxiv.org/abs/1607.06717
Publikováno v:
Journal of Hyperbolic Differential Equations, volume 13, issue 4, year 2016, pages 833-860
We consider the strategy of realizing the solution of a Cauchy problem with radial data as a limit of radial solutions to initial-boundary value problems posed on the exterior of vanishing balls centered at the origin. The goal is to gauge the effect
Externí odkaz:
http://arxiv.org/abs/1512.02297
Autor:
Tsikkou, Charis
Publikováno v:
Journal of Mathematical Analysis and Applications, volume 439, issue 2, year 2016, pages 766-797
We consider a system of two equations that can be used to describe nonlinear chromatography and produce a coherent explanation and description of the unbounded solutions (singular shocks) that appear in M. Mazzotti's model. We use the methods of Geom
Externí odkaz:
http://arxiv.org/abs/1511.00756
Publikováno v:
In Physica D: Nonlinear Phenomena September 2020 410
