On well-posedness and decay of strong solutions for a coupled Cahn–Hilliard system
Advances in Nonlinear AnalysisIn this paper, we consider the Cauchy problem for a coupled Cahn–Hilliard system in R3 ${\mathbb{R}}^{3}$ . This system can be seen as the stationary system of a novel thermodynamically consistent three-phase model.
Duan Ning, Wang Yinghao, Zhao Xiaopeng
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A fractional version of Rivière's GL(n)-gauge. [PDF]
Ann Mat Pura Appl, 2022 Da Lio F, Mazowiecka K, Schikorra A.
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Resolvent approaches to elliptic regularity in stationary Fokker–Planck equations
Demonstratio MathematicaThis paper investigates the local regularity of solutions to stationary Fokker–Planck equations on an open set U⊂Rd $U\subset {\mathbb{R}}^{d}$ with d ≥ 2.
Lee Haesung
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Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
BIT Numer Math, 2022 Boehm U, Cox S, Gantner G, Stevenson R.
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A Note on the Spreading of Characteristics for Nonconvex Conservation Laws
, 1998 We study the spreading of characteristics for a class of one-dimensional scalar conservation laws for which the flux function has exactly one point of inflection.
Helge Kristian Jenssen
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On the constancy theorem for anisotropic energies through differential inclusions. [PDF]
Calc Var Partial Differ Equ, 2021 Hirsch J, Tione R.
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Regularity of weak solutions to the 3D stationary tropical climate model
Open MathematicsThis article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then
Song Huiyang, Bie Qunyi, Zhou Yanping
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Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination. [PDF]
Acta Math Appl Sin, 2022 Feng XM, Liu LL, Zhang FQ.
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Pseudodifferential Operators With Homogeneous Symbols
, 1999 We prove boundedness of pseudodifferential operators with symbols satisfying the conditions j@ fi ¸ @ fl x a(x; ¸)j C fi;fl j¸j m\Gammajfij+jflj on homogeneous Besov-Lipschitz and Triebel-Lizorkin spaces 1 Introduction The study of ...
Rodolfo H. Torres, Loukas Grafakos
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The initial-value problem for a Gardner-type equation
Advanced Nonlinear StudiesDiscussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
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