Results 11 to 20 of about 3,919,417 (298)
Weak solutions for quasilinear degenerate parabolic systems [PDF]
Electronic Journal of Differential Equations, 2006 This paper concerns the initial Dirichlet boundary-value problem for a class of quasilinear degenerate parabolic systems. Due to the degeneracies, the problem does not have classical solutions in general.
Zheng'an Yao, Wenshu Zhou
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On the weak solution of moving boundary problems [PDF]
, 1978 The weak formulation of moving boundary problems with possibly vanishing specific heat, that is governed by parabolic and/or elliptic differential equations, is developed. The uniqueness of the resulting weak solution is then proved.
Crowley, AB
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Global Weak Solutions to the Navier-Stokes-Vlasov-Poisson System
, 2021 We consider the Navier-Stokes-Vlasov-Poisson system describing the flow of a viscous incompressible fluid containing small solid charged particles.
Khruslov, Evgeny +2 more
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Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness [PDF]
, 2019 In this paper, we investigate a model describing induction hardening of steel. The related system consists of an energy balance, an ODE for the different phases of steel, and Maxwell's equations in a potential formulation.
Hömberg, Dietmar Josef +2 more
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Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model
, 2022 In this paper, we prove the existence of weak solutions for a thermodynamically consistent phase-field model in two and three dimensions of space. We use a notion of solution inspired by previous contributions on the same model and where the pointwise ...
Robert Lasarzik +5 more
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The problem of dynamic cavitation in nonlinear elasticity [PDF]
, 2012 The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy)
Miroshnikov, Alexey +5 more
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Relative entropy in diffusive relaxation [PDF]
, 2012 We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum.
Tzavaras, Athanasios E. +1 more
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Weak Solutions for a Simple Hyperbolic System [PDF]
, 2001 The model studied concerns a simple first-order hyperbolic system. The solutions in which one is most interested have discontinuities which persist for all time, and therefore need to be interpreted as weak solutions.
Lyne, Owen D., Williams, David S.
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Renormalized solutions of the 2D Euler equations [PDF]
, 2015 In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained via vanishing viscosity approximation are ...
Spirito, Stefano, Crippa, Gianluca
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Weak solutions for p-Laplacian equation
Advances in Nonlinear Analysis, 2012 In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.
Bhuvaneswari Venkatasubramaniam +2 more
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