The Experts below are selected from a list of 324 Experts worldwide ranked by ideXlab platform
Peixin Zhang - One of the best experts on this subject based on the ideXlab platform.
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global classical solutions to 1d full compressible navier stokes equations with the robin boundary condition on temperature
Nonlinear Analysis-real World Applications, 2019Co-Authors: Peixin ZhangAbstract:Abstract In this paper, we consider the initial boundary Value Problem for the one-dimensional Navier–Stokes equations for viscous compressible and heat-conducting fluids in a bounded domain with the Robin boundary condition on temperature. There are few results until now about global existence of regular solutions to the full Navier–Stokes equations with the Robin boundary condition on temperature. By the analysis of the effect of boundary dissipation, we derive the global existence of classical solution to the corresponding initial boundary Value Problem with large initial data and vacuum. This result could be viewed as the first one on the global well-posedness of classical solutions to the full Navier–Stokes equations in a bounded domain with the Robin boundary condition on temperature.
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Global classical solutions to 1D full compressible Navier–Stokes equations with the Robin boundary condition on temperature
Nonlinear Analysis-real World Applications, 2019Co-Authors: Peixin ZhangAbstract:Abstract In this paper, we consider the initial boundary Value Problem for the one-dimensional Navier–Stokes equations for viscous compressible and heat-conducting fluids in a bounded domain with the Robin boundary condition on temperature. There are few results until now about global existence of regular solutions to the full Navier–Stokes equations with the Robin boundary condition on temperature. By the analysis of the effect of boundary dissipation, we derive the global existence of classical solution to the corresponding initial boundary Value Problem with large initial data and vacuum. This result could be viewed as the first one on the global well-posedness of classical solutions to the full Navier–Stokes equations in a bounded domain with the Robin boundary condition on temperature.
Ping Zhang - One of the best experts on this subject based on the ideXlab platform.
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on the initial boundary Value Problem of the incompressible viscoelastic fluid system
Communications on Pure and Applied Mathematics, 2008Co-Authors: Ping ZhangAbstract:In this paper, we shall establish the local well-posedness of the Initial-Boundary Value Problem of the viscoelastic fluid system of the Oldroyd model. We shall also prove that the local solutions can be extended globally and that the global solutions decay exponentially fast as time goes to infinity provided that the initial data are sufficiently close to the equilibrium state. c � 2007 Wiley Periodicals, Inc.
Laurent Chupin - One of the best experts on this subject based on the ideXlab platform.
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existence results for the flow of viscoelastic fluids with an integral constitutive law
Journal of Mathematical Fluid Mechanics, 2013Co-Authors: Laurent ChupinAbstract:We consider the flows of viscoelastic fluid which obey a constitutive law of integral type. Some theoretical results are proved: local existence, global existence with small data and uniqueness results for the initial boundary Value Problem.
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Existence results for integral viscoelastic fluids
Journal of Mathematical Fluid Mechanics, 2013Co-Authors: Laurent ChupinAbstract:We consider the flows of viscoelastic fluid which obey a constitutive law of integral type. The existence and uniqueness results for solutions of the initial boundary Value Problem are proved, and the stationary case is studied.
Vincent Perrollaz - One of the best experts on this subject based on the ideXlab platform.
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Initial boundary Value Problem and asymptotic stabilization of the Camassa-Holm equation on an interval
2010Co-Authors: Vincent PerrollazAbstract:We investigate the nonhomogeneous initial boundary Value Problem for the Camassa-Holm equation on an interval. We provide a local in time existence theoremand a weak strong uniqueness result. Next we establish a result on the global asymptotic stabilization Problem by means of boundary feedback law.
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Initial boundary Value Problem and asymptotic stabilization of the Camassa–Holm equation on an interval
Journal of Functional Analysis, 2010Co-Authors: Vincent PerrollazAbstract:We investigate the nonhomogeneous initial boundary Value Problem for the Camassa-Holm equation on an interval. We provide a local in time existence theorem and a weak strong uniqueness result. Next we establish a result on the global asymptotic stabilization Problem by means of a boundary feedback law.
A. A. Amosov - One of the best experts on this subject based on the ideXlab platform.
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Initial-Boundary Value Problem for the Nonstationary Radiative Transfer Equation with Diffuse Reflection and Refraction Conditions
Journal of Mathematical Sciences, 2018Co-Authors: A. A. AmosovAbstract:We consider the Initial-Boundary Value Problem for the nonstationary radiative transfer equation in a system of semitransparent bodies with the conditions of diffuse reflection and refraction of radiation. We establish the unique solvability of the Problem with boundary and initial data in the complete scale of Lebesgue spaces. We obtain estimates for solutions.
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Initial-Boundary Value Problem for the Non-Stationary Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions
Journal of Mathematical Sciences, 2018Co-Authors: A. A. AmosovAbstract:We consider the Initial-Boundary Value Problems for the nonstationary radiative transfer equation in a system of semitransparent bodies with boundary and initial data in the complete scale of Lebesgue spaces. We establish the unique solvability of the first Initial-Boundary Value Problem, the Problem with “shooting conditions,” and the Problem with Fresnel reflection and refraction conditions on the body boundaries.