Viscosity Approximating Solutions to ODE Systems That Admit Shocks, and Their Limits

Irene M. Gamba

Type: Article

Publication Date: 1994-06-01

Citations: 5

DOI: https://doi.org/10.1006/aama.1994.1005

View Publication

Locations

Advances in Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Vanishing Viscosity Solutions of Nonlinear Hyperbolic Systems	2001	Stefano Bianchini Alberto Bressan
+	Large Data Existence Result for Unsteady Flows of Inhomogeneous Shear-Thickening Heat-Conducting Incompressible Fluids	2010	Jens Frehse Josef Málek Michael Růžička
+	Vortex solutions for the compressible Navier-Stokes equations with general viscosity coefficients in 1D: regularizing effects or not on the density	2019	Boris Haspot
+ PDF Chat	Vanishing viscosity solutions of nonlinear hyperbolic systems	2005	Stefano Bianchini Alberto Bressan
+	Strong Solutions to Non-Stationary Channel Flows of Heat-Conducting Viscous Incompressible Fluids with Dissipative Heating	2011	Michal Beneš
+	Strong Solutions to Non-Stationary Channel Flows of Heat-Conducting Viscous Incompressible Fluids with Dissipative Heating	2011	Michal Beneš
+ PDF Chat	On the well posedness of vanishing viscosity limits	2002	Alberto Bressan
+ PDF Chat	Weak solutions to a compressible viscous non-resistive MHD equations with general boundary data	2025	Yang Li Young-Sam Kwon Yongzhong Sun
+ PDF Chat	Vanishing Viscosity and Backward Euler Approximations for Conservation Laws with Discontinuous Flux	2019	Graziano Guerra Wen Shen
+	Global solutions and Relaxation Limit to the Cauchy Problem of a Hydrodynamic Model for Semiconductors	2020	Yun‐guang Lu
+ PDF Chat	BV solutions and viscosity approximations of rate-independent systems	2010	Alexander Mielke Riccarda Rossi Giuseppe Savaré
+	Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee	2014	С. К. Годунов Igor Kulikov
+ PDF Chat	An Informal Account of Recent Results on Initial-Boundary Value Problems for Systems of Conservation Laws	2024	Laura V. Spinolo Fabio Ancona Andrea Marson
+ PDF Chat	Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors	2024	Yun‐guang Lu
+	GLOBAL WEAK SOLUTIONS OF THE ONE-DIMENSIONAL HYDRODYNAMIC MODEL FOR SEMICONDUCTORS	1993	Frank Jochmann
+ PDF Chat	Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems	2020	Moon-Jin Kang Alexis Vasseur
+	Stationary Transonic Solutions of a One–Dimensional Hydrodynamic Model for Semiconductors	1992	Gamba Irene Martínez
+	Viscosity and Relaxation Approximation for Hyperbolic Systems of Conservation Laws	1999	Athanasios E. Tzavaras
+	A note on the regularity of thermally coupled viscous flows with critical growth in nonsmooth domains	2012	Michal Beneš
+	Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient	2020	Cheng Yu Bijun Zuo

Works That Cite This (4)

Action	Title	Year	Authors
+	Extended Hydrodynamical Model of Carrier Transport in Semiconductors	2000	A. M. Anile Giovanni Russo Vittorio Romano
+ PDF Chat	Convergence of shock capturing schemes for the compressible Euler-Poisson equations	1996	Gui‐Qiang Chen Dehua Wang
+	A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow	1996	Irene M. Gamba Cathleen S. Morawetz
+	Adjoint methods for stellarator shape optimization and sensitivity analysis	2020	Elizabeth Paul

Works Cited by This (19)

Action	Title	Year	Authors
+	Energy Models for One-Carrier Transport in Semiconductor Devices	1994	Joseph W. Jerome Chi‐Wang Shu
+	The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow	1984	Harland M. Glaz Tai-Ping Liu
+	Boundary-layer formation for viscosity approximations in transonic flow	1992	Irene M. Gamba
+	FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES	1970	S N Kružkov
+	A non‐isentropic Euler–Poisson model for a collisionless plasma	1993	Peter A. Markowich Paola Pietra
+	Nonlinear resonance for quasilinear hyperbolic equation	1987	Tai-Ping Liu
+	Hyperbolic systems of conservation laws II	1957	Peter D. Lax
+	Stationary Transonic Solutions of a One–Dimensional Hydrodynamic Model for Semiconductors	1992	Gamba Irene Martínez
+	A generalized Riemann problem for quasi-one-dimensional gas flows	1984	James Glimm Guillermo Marshall Bradley J. Plohr
+	On a one-dimensional steady-state hydrodynamic model for semiconductors	1990	Pierre Degond Peter A. Markowich