Regularity for anisotropic quasi-linear parabolic equations with variable growth
In this article, we study a class of anisotropic quasi-linear parabolic equations with variable exponents. Following DiBenedetto's intrinsic scaling method, we prove local continuity of solutions under the condition for which only local boundedness ...
Hamid El Bahja
doaj
Comparative Characterization of Nonlinear Ultrasound Fields Generated by Sonalleve V1 and V2 MR-HIFU Systems. [PDF]
Karzova MM +6 more
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Surface Morphology Evolution during Chemical Mechanical Polishing Based on Microscale Material Removal Modeling for Monocrystalline Silicon. [PDF]
Xia J +5 more
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Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions
We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.
Baili Chen
doaj
Non-local quasi-linear parabolic equations
This is a survey of the most common approaches to quasi-linear parabolic evolution equations, a discussion of their advantages and drawbacks, and a presentation of an entirely new approach based on maximal regularity. The general results here apply, above all, to parabolic initial-boundary value problems that are non-local in time.
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Nonlinear viscoelasticity of strain rate type: an overview. [PDF]
Şengül Y.
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Quasilinear Parabolic Evolution Equations [PDF]
Jan Prüss, Gieri Simonett
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A proof of validity for multiphase Whitham modulation theory. [PDF]
Bridges TJ, Kostianko A, Schneider G.
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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
doaj
Numerical Study of the Thermal Performance of a Mems Pressure Sensor with Self-Calibration Capabilities. [PDF]
de Clerck A +5 more
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