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Weak solutions for some compressible multicomponent fluid models [PDF]
Archive for Rational Mechanics and Analysis, 2018 The principle purpose of this work is to investigate a "viscous" version of a "simple" but still realistic bi-fluid model described in [Bresch, Desjardin, Ghidaglia, Grenier, Hillairet] whose "non-viscous" version is derived from physical considerations ...
Novotny, Antonin, Pokorny, Milan
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Existence of nontrivial weak solutions for a quasilinear Choquard equation [PDF]
Journal of Inequalities and Applications, 2018 We are concerned with the following quasilinear Choquard equation: −Δpu+V(x)|u|p−2u=λ(Iα∗F(u))f(u)in RN,F(t)=∫0tf(s)ds, $$ -\Delta_{p} u+V(x)|u|^{p-2}u=\lambda\bigl(I_{\alpha} \ast F(u)\bigr)f(u) \quad \text{in } \mathbb {R}^{N}, \qquad F(t)= \int_{0}^{t}
Jongrak Lee +3 more
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Time—periodic weak solutions [PDF]
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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Weak Transversality and Partially Invariant Solutions [PDF]
Journal of Mathematical Physics, 2002 New exact solutions are obtained for several nonlinear physical equations, namely the Navier-Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear Schroedinger equation.
A. M. Grundland +38 more
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Onsager's Conjecture for Admissible Weak Solutions [PDF]
Communications on Pure and Applied Mathematics, 2018 36 pages, 1 ...
Buckmaster, Tristan +3 more
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Weak solutions of the Landau--Lifshitz--Bloch equation [PDF]
, 2016 The Landau--Lifshitz--Bloch (LLB) equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components important for high-temperature applications.
Le, Kim Ngan
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Numerical Analysis of Compressible Fluid Flows, 2021 Eduard Feireisl +3 more
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Springer Series in Computational Mathematics, 2019 Mitsuhiro T. Nakao +2 more
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Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes model with a logistic source
Applied Mathematics, 2021 We prove a uniqueness result of weak solutions to the nD ( n ⩾ 3) Cauchy problem of a Keller-Segel-Navier-Stokes system with a logistic term.
Miaochao Chen, Sheng-Sen Lu, Qilin Liu
semanticscholar +1 more source
Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning [PDF]
SIAM Journal on Scientific Computing, 2020 This paper proposes Friedrichs learning as a novel deep learning methodology that can learn the weak solutions of PDEs via Friedrichs' seminal minimax formulation, which transforms the PDE problem into a minimax optimization problem to identify weak ...
Fan Chen +3 more
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