Nonlinear multidimensional parabolic-hyperbolic equations
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
doaj
On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. [PDF]
Zlotnik A, Lomonosov T.
europepmc +1 more source
Comparative Characterization of Nonlinear Ultrasound Fields Generated by Sonalleve V1 and V2 MR-HIFU Systems. [PDF]
Karzova MM +6 more
europepmc +1 more source
Regularity results and asymptotic behavior for a noncoercive parabolic problem. [PDF]
Boccardo L, Orsina L, Porzio MM.
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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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On a quasilinear parabolic integrodifferential equation
The author considers the nonlinear Volterra integrodifferential equation \(u_ t - a* \text{div} h(\text{grad} u) = a*g\), where \(x \in \mathbb{R}^ n\), \(t \geq 0\) and where the initial function \(u(0,x) = w(x)\) is given. The kernel \(a\) satisfies \(a \in L^ 1_{\text{loc}} (\mathbb{R}^ +)\) and the parabolic condition \(\text{Re}\widetilde a ...
openaire +3 more sources
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
Momentum and thickness dependent excitonic and plasmonic properties of 2D h-BN and MoS2 restored from supercell calculations. [PDF]
Yang G, Fan J, Gao SP.
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A Quasilinear Parabolic System with Nonlocal Boundary Condition
We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal ...
Mu Chunlai, Chen Botao, Mi Yongsheng
doaj
Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]
Bögelein V +3 more
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