Results 11 to 20 of about 49,603 (311)
Weak-very weak uniqueness to the time-dependent Ginzburg–Landau model for superconductivity in Rn
Results in Applied Mathematics, 2021 In this paper, we consider the n(n≥3)dimensional time-dependent Ginzburg–Landau model for superconductivity. First, we obtain a global existence of very weak solutions. Finally we prove a result of weak-very weak uniqueness.
Hongjun Gao, Jishan Fan, Gen Nakamura
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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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Relaxation and weak solutions of nonlocal semilinear evolution systems
Advances in Difference Equations, 2019 We give a relatively short proof of the fact that the solution set of a nonlocal semilinear differential inclusion is dense in the weak solution set of the corresponding convexified system.
N. Javaid +3 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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International Journal of Mathematics and Mathematical Sciences, 1990 In continuing from previous papers, where we studied the existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, we now search for a time-periodic weak solution u(t) for the equation whose weak formulation ...
Eliana Henriques de Brito
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Harmonic solutions and weak solutions of two-dimensional rotational incompressible Euler equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, two families of exact solutions to two-dimensional incompressible rotational Euler equations are constructed by connecting the Euler equations with the Laplace equation via a stream function.
Yang Chen, Yunhu Wang, Manwai Yuen
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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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