Results 21 to 30 of about 696,986 (308)
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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Electronic Journal of Qualitative Theory of Differential Equations, 2021 The asymptotic behavior of the sequence $\{v_n\}$ of nonnegative solutions for a class of inhomogeneous problems settled in Orlicz–Sobolev spaces with prescribed Dirichlet data on the boundary of domain $\Omega$ is analysed.
Andrei Grecu, Denisa Stancu-Dumitru
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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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Weak solutions with unbounded variation [PDF]
Proceedings of the American Mathematical Society, 1973 To solve a quasilinear system of hyperbolic partial differential equations with given initial data, the usual procedure is to approximate the initial data, solve the resulting problems, and show that the variation of the approximating solutions is uniformly bounded. A limiting process then can be used.
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ASYMMETRIC IMPURITY SEGREGATION IN MULTI-LAYERED FILMS [PDF]
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2013 Peculiarities of segregation of impurities at the boundaries of a thin film separating two different solid materials are considered. Theoretical and numerical analysis of kinetics of impurity redistribution within the film and at the boundaries has been ...
I.M. Davydova +2 more
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Global Low-Energy Weak Solutions of a Fluid–Particle Interaction Model with Vacuum in ℝ3
AxiomsProvided that the initial data (ρ0,v0,η0) is of small energy around steady state (ρ▵,0,0), in this work we obtain the global-in-time existence of weak solutions to a fluid particle interaction system.
Bingyuan Huang +3 more
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A semigroups theory approach to a model of suspension bridges
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper we study the existence and uniqueness of the weak solution of a mathematical model that describes the nonlinear oscillations of a suspension bridge. This model is given by a system of partial differential equations with damping terms.
Rodiak Figueroa-López +1 more
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Weak solutions for diffusion-convection equations
Applied Mathematics Letters, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Weifu, Ito, Kazufumi
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Journal of Optimization, Differential Equations and Their ApplicationsIn this paper we establish uniqueness of the weak solutions of nonlinear stochastic functional differential equations of neutral type in Hilbert spaces.
Z. P. Khaletska +3 more
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