AIP Advances, 2016 In recent studies with nonlinear Rayleigh surface waves, harmonic generation measurements have been successfully employed to characterize material damage and microstructural changes, and found to be sensitive to early stages of damage process.
Hyunjo Jeong +3 more
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On one-dimensional stochastic control problems: applications to investment models [PDF]
The paper provides a systematic way for finding a partial differential equation that characterize directly the optimal control, in the framework of one?dimensional stochastic control problems of Mayer, with no constraints on the controls.
Ricardo Josa-Fombellida +1 more
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Nonlinear multidimensional parabolic-hyperbolic equations
Electronic Journal of Differential Equations, 2007 This paper deals with the coupling of a quasilinear parabolic problem with a first order hyperbolic one in a multidimensional bounded domain $Omega$. In a region $Omega_{p}$ a diffusion-advection-reaction type equation is set while in the complementary ...
loria Aguilar +2 more
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High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region. [PDF]
MethodsX, 2022 Mohanty RK +3 more
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Iterative solution of quasilinear parabolic equations by parabolic equations with constant coefficients [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1982 AbstractA method for solving quasilinear parabolic equations of the typesthat differs radically from previously known methods is proposed. For each initial-boundary-value problem of one of these types that has boundary conditions of the first kind (second kind), a conjugate initial-boundary-value problem of the other type that has boundary conditions ...
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Quasilinear generalized parabolic Anderson model
, 2018 International audienceWe provide in this work a local in time well-posedness result for a quasilinear generalized parabolic Anderson model in dimension two∂tu+Δπ(u)=g(u)ξ.The key idea of our approach is a simple transformation of the equation which ...
Hofmanova, Martina +4 more
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A new spline technique for the time fractional diffusion-wave equation. [PDF]
MethodsX, 2023 Singh S, Singh S, Aggarwal A.
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On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. [PDF]
Entropy (Basel), 2023 Zlotnik A, Lomonosov T.
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Comparative Characterization of Nonlinear Ultrasound Fields Generated by Sonalleve V1 and V2 MR-HIFU Systems. [PDF]
IEEE Trans Ultrason Ferroelectr Freq Control, 2023 Karzova MM +6 more
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Electronic Journal of Differential Equations, 2015 Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two
Sukjung Hwang, Gary M. Lieberman
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