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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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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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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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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Higher integrability for doubly nonlinear parabolic systems. [PDF]
SN Partial Differ Equ Appl, 2022 Bögelein V, Duzaar F, Scheven C.
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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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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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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 ...
Bona Jerry +4 more
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On spatial Gevrey regularity for some strongly dissipative second order evolution equations
, 2019 Let A be a positive self-adjoint linear operator acting on a real Hilbert space H and α, c be positive constants. We show that all solutions of the evolution equation u" + Au + c A^α u' = 0 with u(0) ∈ D( A_1/2), u (0) ∈ H belong for all t > 0 to the ...
Haraux, Alain, Otani, Mitsuharu
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Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth
Advances in Nonlinear AnalysisWe consider the functional ℱ(u)≔∫Ωf(x,Du(x))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }f\left(x,Du\left(x)){\rm{d}}x, where f(x,z)f\left(x,z) satisfies a (p,q)\left(p,q)-growth condition with respect to zz and can be ...
De Filippis Filomena +2 more
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